diff --git a/doc/config.yml b/doc/config.yml index 8395a06..e794d50 100644 --- a/doc/config.yml +++ b/doc/config.yml @@ -20,6 +20,7 @@ Extensions: Examples: Poroelasticity: examples/poroelasticity/index.md Viscoelasticity: examples/viscoelasticity/index.md + Viscoplasticity: examples/viscoplasticity/index.md Documentation: Beaver syntax: documentation/beaver.md MooseDocs.extensions.appsyntax: diff --git a/doc/content/bib/beaver.bib b/doc/content/bib/beaver.bib index 98f5643..d7cb93c 100644 --- a/doc/content/bib/beaver.bib +++ b/doc/content/bib/beaver.bib @@ -28,4 +28,13 @@ @article{Gerya2007 pages = {83--105}, number = {1-4}, volume = {163} +} +@article{azabou2021rock, + title={Rock salt behavior: From laboratory experiments to pertinent long-term predictions}, + author={Azabou, M and Rouabhi, Ahmed and Blanco-Mart{\'\i}n, L and Hadj-Hassen, F and Karimi-Jafari, M and H{\'e}vin, G}, + journal={International Journal of Rock Mechanics and Mining Sciences}, + volume={142}, + pages={104588}, + year={2021}, + publisher={Elsevier} } \ No newline at end of file diff --git a/doc/content/examples/index.md b/doc/content/examples/index.md index 8feebca..e20ff8b 100644 --- a/doc/content/examples/index.md +++ b/doc/content/examples/index.md @@ -1,4 +1,5 @@ # Examples !content outline max_level=3 pages=poroelasticity/index.md - viscoelasticity/index.md \ No newline at end of file + viscoelasticity/index.md + viscoplasticity/index.md \ No newline at end of file diff --git a/doc/content/examples/viscoplasticity/index.md b/doc/content/examples/viscoplasticity/index.md new file mode 100644 index 0000000..751bc4a --- /dev/null +++ b/doc/content/examples/viscoplasticity/index.md @@ -0,0 +1,4 @@ +# Viscoplasticity + +!content outline max_level=3 pages=lemaitre.md + munson_dawson.md \ No newline at end of file diff --git a/doc/content/examples/viscoplasticity/lemaitre.md b/doc/content/examples/viscoplasticity/lemaitre.md new file mode 100644 index 0000000..068a372 --- /dev/null +++ b/doc/content/examples/viscoplasticity/lemaitre.md @@ -0,0 +1,39 @@ +# Lemaitre's viscoplastic model + +This problem considers a squared medium subject to external stress leading to creep. The material deforms following the Lemaitre's viscoplastic constitutive model. + +## Setup + +The squared medium is subject to a compressive horizontal uniaxial stress at a constant temperature, resulting in a uniaxial deformation. The setup is sketched in [!ref](fig_lemaitre_creep_model_setup). + +!media media/linear_kelvin.png style=display:block;margin:auto;width:80%; caption=Setup for the Lemaitre's viscoplastic medium. id=fig_lemaitre_creep_model_setup + +## Solutions + +The scalar equivalent creep strain evolution is governed by the following constitutive model: + +!equation +\dot{\gamma}_{vp} = A \left( \frac{q}{A_2} \right)^{\frac{\beta}{\alpha}} \gamma_{vp}^{1-\frac{1}{a}}, + +where $A$ is a time-scaling model parameter unique to the material under consideration. [!cite](azabou2021rock) expressed this parameter in terms of the Arrhenius law as $\alpha \exp\left(\frac{1}{T_r}-\frac{1}{T}\right)$ to describe the behavior of rock salt. +In this case, $A \approx \alpha$ for isothermal conditions. $\alpha$ and $\beta$ are material parameters. $A_2$ is a normalizing parameter always taken as 1.0. $\gamma_{vp}$ is the scalar equivalent creep strain. + +The analytical solution for this problem is given as: + +!equation +\gamma_{vp} = \left( \frac{A}{\alpha} \right)^{\alpha} \left[ \left( \frac{q}{A_2} \right)^{\beta} \right] t^{a}, + +where $t$ is time. + +The following creep curve shows a comparison between the analytical and the numerical solutions of the Lemaitre model. + +!media media/lemaitre_strain.png style=display:block;margin:auto;width:60%; caption=Creep strain evolution in a Lemaitre's viscoplastic medium. id=fig_lemaitre + +## Complete Source Files + +- [lemaitre.i](https://github.com/ajacquey/beaver/blob/main/examples/viscoplasticity/lemaitre/lemaitre.i) + +!bibtex bibliography + +!content pagination use_title=True + next=viscoplasticity/munson_dawson.md \ No newline at end of file diff --git a/doc/content/examples/viscoplasticity/munson_dawson.md b/doc/content/examples/viscoplasticity/munson_dawson.md new file mode 100644 index 0000000..9820800 --- /dev/null +++ b/doc/content/examples/viscoplasticity/munson_dawson.md @@ -0,0 +1,83 @@ +# Modified Munson-Dawson viscoplastic model + +This problem considers a squared medium subject to external stress leading to creep. +The material deforms following the modified Munson-Dawson's viscoplastic constitutive model described in [!cite](azabou2021rock). + +## Setup + +The squared medium is subject to a compressive horizontal uniaxial stress at a constant temperature, resulting in a uniaxial deformation. +The setup is sketched in [!ref](fig_munson_dawson_creep_model_setup). +The uniaxial stress is held constant at 10 MPa for a duration of 15 days before dropping to 5 MPa for another 15 days to simulate a multi-stage creep test. + +!media media/linear_kelvin.png style=display:block;margin:auto;width:80%; caption=Setup for the munson_dawson's viscoplastic medium. id=fig_munson_dawson_creep_model_setup + +## Solutions + +The scalar equivalent creep strain evolution is governed by the following constitutive model: + +\begin{equation} + \dot\gamma_{vp} = + \begin{cases} + A \left( 1 - \frac{\gamma_{vp}}{\bar{\gamma}_{vp}} \right)^n R(\sigma, T) & \text{if } \gamma_{vp} \leq \bar{\gamma}_{vp} \\ + -B \left( \frac{\gamma_{vp}}{\bar{\gamma}_{vp}} - 1 \right)^m R(\sigma, T) & \text{if } \gamma_{vp} \geq \bar{\gamma}_{vp} + \end{cases} +\end{equation} + +where, $A$, $B$, $m$, and $n$ are material parameters, with $A > 0$, $B > 0$, and $m > 1$, $n > 1$ [!cite](azabou2021rock). +The parameter $\bar{\gamma}_{vp}$ describes the saturation strain, similar to that expressed in the Munson-Dawson model, +and corresponds to the threshold of transient deformation. It is defined as: + +\begin{equation} + \bar{\gamma}_{vp}(\sigma, T)= \left\langle \frac{q}{A_1} \right\rangle^{n_1} + \label{eq:29} +\end{equation} +here $A_1$ and $n_1$ are material parameters and $q = \sqrt{\frac{3}{2}\tau_{ij}\tau_{ij}}$ +is the equivalent stress, representing the loading function. $\tau_{ij}$ is the deviatoric stress tensor. + +The function $R$ corresponds to the Lemaitre’s scalar equivalent creep strain evolution, +ensuring that $\dot\gamma_{vp}$ have similar order of magnitude as the Lemaitre's scalar equivalent creep model [!cite](azabou2021rock): + +\begin{equation} + R(\sigma, T) = \exp \left( A_R \left( \frac{1}{T_r} - \frac{1}{T} \right) \right) \left\langle \frac{q}{A_2} \right\rangle^{n_2} +\end{equation} + +This model is equivalent to the Munson-Dawson model provided the following conditions are satisfied: + +- Parameter $A = \exp{\Delta}$ +- Parameter $n = + \begin{cases} + -0.0098\Delta^3 + 0.2040\Delta^2 + 0.5622\Delta + 2.0252, & \text{if } \Delta \leq 6 \\ + 1.9987\Delta - 1.4567, & \text{if } \Delta > 6 + \end{cases}$ +- Parameter $B = 0$ (i.e., the transient strain threshold is not exceeded). Hence, the strain-rate is always transient. + +The analytical solution for this problem is given as [!cite](azabou2021rock): + +\begin{equation*} + \gamma_{vp} \left( t \right) = {\gamma_{vp}}_0 + (\bar{\gamma}_{vp} + {\gamma_{vp}}_0) \, \xi\left(t\right), +\end{equation*} +\begin{equation*} + \xi \left( t \right) = \left(1 - \frac{1}{1 + V(t - t_0)} \right)^{\frac{1}{k-1}}, +\end{equation*} +\begin{equation*} + V = (k - 1) \, U \, \frac{A_{1}^{n_{1}}}{A_{2}^{n_{2}}} \, q^{n_{2} - n_{1}}, +\end{equation*} +\begin{equation*} + \begin{cases} + \text{when } \gamma_{vp} \leq \bar{\gamma}_{vp}; \quad k = n; \quad U = A \left( 1 - \frac{{\gamma_{vp}}_0}{\bar{\gamma}_{vp}} \right)^{n-1} \\ + \text{when } \gamma_{vp} \geq \bar{\gamma}_{vp}; \quad k = m; \quad U = B \left( \frac{{\gamma_{vp}}_0}{\bar{\gamma}_{vp}} - 1 \right)^{m-1} + \end{cases} +\end{equation*} + +The following creep curve shows a comparison between the analytical and the numerical solutions of the modified Munson-Dawson model. + +!media media/munson_dawson_strain.png style=display:block;margin:auto;width:60%; caption=Creep strain evolution in a Munson-Dawson's viscoplastic medium. id=fig_munson_dawson + +## Complete Source Files + +- [munson_dawson.i](https://github.com/ajacquey/beaver/blob/main/examples/viscoplasticity/munson_dawson/munson_dawson.i) + +!bibtex bibliography + +!content pagination use_title=True + previous=viscoplasticity/lemaitre.md diff --git a/doc/content/media/lemaitre_strain.png b/doc/content/media/lemaitre_strain.png new file mode 100644 index 0000000..d1371cd Binary files /dev/null and b/doc/content/media/lemaitre_strain.png differ diff --git a/doc/content/media/munson_dawson_strain.png b/doc/content/media/munson_dawson_strain.png new file mode 100644 index 0000000..f8cf3a2 Binary files /dev/null and b/doc/content/media/munson_dawson_strain.png differ diff --git a/doc/moosedocs.py b/doc/moosedocs.py index 3cb7f50..d0f7b97 100755 --- a/doc/moosedocs.py +++ b/doc/moosedocs.py @@ -1,6 +1,6 @@ -#!/usr/bin/env python +#!/usr/bin/env python3 #* This file is part of the MOOSE framework -#* https://www.mooseframework.org +#* https://mooseframework.inl.gov #* #* All rights reserved, see COPYRIGHT for full restrictions #* https://github.com/idaholab/moose/blob/master/COPYRIGHT diff --git a/examples/viscoelasticity/RTL2020/BVRTL2020ModelUpdate.i b/examples/viscoelasticity/RTL2020/BVRTL2020ModelUpdate.i new file mode 100644 index 0000000..35a7957 --- /dev/null +++ b/examples/viscoelasticity/RTL2020/BVRTL2020ModelUpdate.i @@ -0,0 +1,363 @@ +# RTL2020 creep model +# See Figures 3,4,5 and 6 of Azabou et al. (2021) +# Parameters +# Units: stress in MPa, time in days, strain in m / m +E = 28567 +nu = 0.30 +alpha = 0.2601 +# alpha = 0.4483 # * 1.72345 to account for T +A1 = 0.0181 +n1 = 1.162 +A2 = 0.3986 +n2 = 9.6768 +A = 0.01 +# A = 0.0172 # * 1.72345 to account for T +n = 13.5 +B = 0.0 +m = 2.0 +Tr = 289 +Ar = 1725 +#Psalt1 = 8 +#Psalt2 = 8 +Psalt3 = 10.0 +#Psalt4 = 15 +#Qsalt1 = 12.0 +#Qsalt2 = 12.0 +Qsalt3 = 12.0 +#Qsalt4 = 19.4 +# Nz = 0.0241 +# nz = 1.2644 +# Mz = 0.024 +# mz = 1.028 +# z = 0.4523 + +[Mesh] + type = GeneratedMesh + dim = 3 + # nx = 5 + # ny = 10 + # nz = 5 + nx = 1 + ny = 1 + nz = 1 + xmin = 0 + xmax = 65e-03 + ymin = 0 + ymax = 130e-03 + zmin = 0 + zmax = 65e-03 +[] + +[Variables] + [disp_x] + order = FIRST + family = LAGRANGE + [] + [disp_y] + order = FIRST + family = LAGRANGE + [] + [disp_z] + order = FIRST + family = LAGRANGE + [] +[] + +[Kernels] + [stress_x] + type = BVStressDivergence + component = x + variable = disp_x + [] + [stress_y] + type = BVStressDivergence + component = y + variable = disp_y + [] + [stress_z] + type = BVStressDivergence + component = z + variable = disp_z + [] +[] + +[AuxVariables] + [temp] + order = FIRST + family = LAGRANGE + initial_condition = 313.15 #note: temperature for salt2 is 313.15K + [] + [eqv_stress] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain_rate] + order = CONSTANT + family = MONOMIAL + [] + [eqv_creep_strain_L] + order = CONSTANT + family = MONOMIAL + [] + [strain_yy] + order = CONSTANT + family = MONOMIAL + [] + [stress_yy] + order = CONSTANT + family = MONOMIAL + [] +[] + +[AuxKernels] + [temp_aux] + type = ConstantAux + variable = temp + value = 313 + execute_on = 'TIMESTEP_END' + [] + [eqv_stress_aux] + type = BVMisesStressAux + variable = eqv_stress + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_aux] + type = BVEqvStrainAux + variable = eqv_strain + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_rate_aux] + type = BVEqvStrainRateAux + variable = eqv_strain_rate + execute_on = 'TIMESTEP_END' + [] + [eqv_creep_strain_L_aux] + type = ADMaterialRealAux + variable = eqv_creep_strain_L + property = eqv_creep_strain_L + execute_on = 'TIMESTEP_END' + [] + [strain_zz_aux] + type = BVStrainComponentAux + variable = strain_yy + index_i = y + index_j = y + execute_on = 'TIMESTEP_END' + [] + [stress_zz_aux] + type = BVStressComponentAux + variable = stress_yy + index_i = y + index_j = y + execute_on = 'TIMESTEP_END' + [] +[] + +[Functions] + [salt1loading] + type = ParsedFunction + expression = 'if(t<=14,12,if(t<=28,16,20))' + [] + [salt2loading] + type = ParsedFunction + expression = 'if(t<=15,12,if(t<=29,16,if(t<=32,20,20.2)))' + [] + [salt3loading] + type = ParsedFunction + expression = 'if(t<=15,15,if(t<=28,20,25))' + [] + [salt4loading] + type = ParsedFunction + expression = 'if(t<=12,19.4,if(t<=29,23.4,27))' + [] +[] + +[BCs] + [no_x] + type = DirichletBC + variable = disp_x + boundary = 'left' + value = 0.0 + [] + [no_y] + type = DirichletBC + variable = disp_y + boundary = 'bottom' + value = 0.0 + [] + [no_z] + type = DirichletBC + variable = disp_z + boundary = 'back' + value = 0.0 + [] + [BVPressure] + [pressure_right] + boundary = 'right' + displacement_vars = 'disp_x disp_y disp_z' + value = ${Psalt3} + [] + [pressure_front] + boundary = 'front' + displacement_vars = 'disp_x disp_y disp_z' + value = ${Psalt3} + [] + [pressure_top] + boundary = 'top' + displacement_vars = 'disp_x disp_y disp_z' + function = salt3loading + [] + [] +[] + +[Materials] + [elasticity] + type = BVMechanicalMaterial + displacements = 'disp_x disp_y disp_z' + young_modulus = ${E} + poisson_ratio = ${nu} + initial_stress = '-${Psalt3} -${Qsalt3} -${Psalt3}' + inelastic_models = 'viscoelastic' + [] + #[viscoelastic] + # type = BVModifiedLemaitreModelUpdate + # alpha = ${alpha} + # kr1 = ${kr1} + # beta1 = ${beta1} + # kr2 = ${kr2} + # beta2 = ${beta2} + #[] + #[viscoelastic] + # type = BVBlancoMartinModelUpdate + # alpha = ${alpha} + # kr1 = ${kr1} + # beta1 = ${beta1} + # kr2 = ${kr2} + # beta2 = ${beta2} + # A1 = ${A1} + # n1 = ${n1} + # A = ${A} + # n = ${n} + # B = 0.0 + # m = ${n} + #[] + [viscoelastic] + type = BVRTL2020ModelUpdate + volumetric = false + temperature = temp + Tr = ${Tr} + Ar = ${Ar} + alpha = ${alpha} + A1 = ${A1} + n1 = ${n1} + A2 = ${A2} + n2 = ${n2} + A = ${A} + n = ${n} + B = ${B} + m = ${m} + # Nz = ${Nz} + # nz = ${nz} + # Mz = ${Mz} + # mz = ${mz} + # z = ${z} + [] +[] + +[Postprocessors] + [eqv_strain_rate] + type = ElementAverageValue + variable = eqv_strain_rate + outputs = csv + [] + [eqv_strain] + type = ElementAverageValue + variable = eqv_strain + outputs = csv + [] + [eqv_strain_L] + type = ElementAverageValue + variable = eqv_creep_strain_L + outputs = csv + [] + [strain_zz] + type = ElementAverageValue + variable = strain_yy + outputs = csv + [] + [stress_zz] + type = ElementAverageValue + variable = stress_yy + outputs = csv + [] + [q] + type = ElementAverageValue + variable = eqv_stress + outputs = csv + [] +[] + +[Preconditioning] + active = 'hypre' + [hypre] + type = SMP + full = true + petsc_options = '-snes_ksp_ew' + petsc_options_iname = '-pc_type -pc_hypre_type + -snes_atol -snes_rtol -snes_stol -snes_max_it + -snes_linesearch_type' + petsc_options_value = 'hypre boomeramg + 1.0e-10 1.0e-12 0 20 + basic' + [] + [superlu] + type = SMP + full = true + petsc_options = '-snes_ksp_ew -snes_converged_reason -ksp_converged_reason -ksp_gmres_modifiedgramschmidt -ksp_diagonal_scale -ksp_diagonal_scale_fix' + petsc_options_iname = '-snes_type + -snes_atol -snes_rtol -snes_max_it + -pc_type -pc_factor_mat_solver_package + -snes_linesearch_type' + petsc_options_value = 'newtonls + 1e-10 1e-12 50 + lu superlu_dist + l2' + [] + [asm] + type = SMP + petsc_options = '-snes_ksp_ew' + petsc_options_iname = '-ksp_type + -pc_type + -sub_pc_type + -snes_type -snes_atol -snes_rtol -snes_max_it -snes_linesearch_type + -ksp_gmres_restart' + petsc_options_value = 'fgmres + asm + ilu + newtonls 1e-10 1e-10 120 basic + 201' + [] +[] + +[Executioner] + type = Transient + solve_type = 'NEWTON' + automatic_scaling = true + start_time = 0.0 + end_time = 50 # 50 days + dt = 0.02 + timestep_tolerance = 1.0e-10 +[] + +[Outputs] + perf_graph = true + exodus = true + [csv] + type = CSV + execute_on = 'timestep_end' + [] +[] \ No newline at end of file diff --git a/examples/viscoelasticity/RTL2020/BVRTL2020salt5creeptest.i b/examples/viscoelasticity/RTL2020/BVRTL2020salt5creeptest.i new file mode 100644 index 0000000..766f0d3 --- /dev/null +++ b/examples/viscoelasticity/RTL2020/BVRTL2020salt5creeptest.i @@ -0,0 +1,364 @@ +# Modified Lemaitre creep model +# See Fig. 7 and the first multistage creep test on Fig.8 of Azabou et al. (2021) +# Parameters +# Units: stress in MPa, time in days, strain in m / m +E = 22126 +nu = 0.2 +alpha = 0.5812 +A1 = 0.1854 +n1 = 2.1012 +A2 = 3.7009 +n2 = 6.7562 +A = 155.6582 +n = 11.989 +B = 0.01918 +m = 2.2195 +Tr = 289 +Ar = 1725 +P = 8.7 +P_TCT = 5 +Q = 12.7 +z = 0.4523 +Nz = 0.0241 +nz = 1.2644 +Mz = 0.024 +mz = 1.028 + +[Mesh] + type = GeneratedMesh + dim = 3 + # nx = 5 + # ny = 10 + # nz = 5 + nx = 1 + ny = 1 + nz = 1 + xmin = 0 + xmax = 65e-03 + ymin = 0 + ymax = 130e-03 + zmin = 0 + zmax = 65e-03 +[] + +[Variables] + [disp_x] + order = FIRST + family = LAGRANGE + [] + [disp_y] + order = FIRST + family = LAGRANGE + [] + [disp_z] + order = FIRST + family = LAGRANGE + [] +[] + +[Kernels] + [stress_x] + type = BVStressDivergence + component = x + variable = disp_x + [] + [stress_y] + type = BVStressDivergence + component = y + variable = disp_y + [] + [stress_z] + type = BVStressDivergence + component = z + variable = disp_z + [] +[] + +[AuxVariables] + [temp] + order = FIRST + family = LAGRANGE + initial_condition = 313 + [] + [eqv_stress] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain_rate] + order = CONSTANT + family = MONOMIAL + [] + [eqv_creep_strain_L] + order = CONSTANT + family = MONOMIAL + [] + [eqv_creep_strain_R] + order = CONSTANT + family = MONOMIAL + [] + [strain_yy] + order = CONSTANT + family = MONOMIAL + [] + [stress_yy] + order = CONSTANT + family = MONOMIAL + [] + [stress_zz] + order = CONSTANT + family = MONOMIAL + [] +[] + +[AuxKernels] + [temp_aux] + type = ConstantAux + variable = temp + value = 313 + execute_on = 'TIMESTEP_END' + [] + [eqv_stress_aux] + type = BVMisesStressAux + variable = eqv_stress + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_aux] + type = BVEqvStrainAux + variable = eqv_strain + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_rate_aux] + type = BVEqvStrainRateAux + variable = eqv_strain_rate + execute_on = 'TIMESTEP_END' + [] + [eqv_creep_strain_L_aux] + type = ADMaterialRealAux + variable = eqv_creep_strain_L + property = eqv_creep_strain_L + execute_on = 'TIMESTEP_END' + [] + [eqv_creep_strain_R_aux] + type = ADMaterialRealAux + variable = eqv_creep_strain_R + property = eqv_creep_strain_R + execute_on = 'TIMESTEP_END' + [] + [strain_zz_aux] + type = BVStrainComponentAux + variable = strain_yy + index_i = y + index_j = y + execute_on = 'TIMESTEP_END' + [] + [stress_yy_aux] + type = BVStressComponentAux + variable = stress_yy + index_i = y + index_j = y + execute_on = 'TIMESTEP_END' + [] + [stress_zz_aux] + type = BVStressComponentAux + variable = stress_yy + index_i = z + index_j = z + execute_on = 'TIMESTEP_END' + [] +[] + +[Functions] + [Q_loading] + type = ParsedFunction + expression = 'if(t<=10,12.7,if(t<=40,15,if(t<=90,20,if(t<=140,22,24))))' + [] + [P_loading] + type = ParsedFunction + expression = 'if(t<=10,8.7,if(t<=40,7.5,if(t<=90,5,if(t<=140,4,3))))' + [] + [strain_rate] + type = ParsedFunction + vars = 'e_dot L' + vals = '1.0e-06 130e-03' + expression = 'e_dot*L*t' + [] +[] + +[BCs] + [no_x] + type = DirichletBC + variable = disp_x + boundary = 'left' + value = 0.0 + [] + [no_y] + type = DirichletBC + variable = disp_y + boundary = 'bottom' + value = 0.0 + [] + [no_z] + type = DirichletBC + variable = disp_z + boundary = 'back' + value = 0.0 + [] + [BVPressure] + [pressure_right] + boundary = 'right' + displacement_vars = 'disp_x disp_y disp_z' + function = ${P_TCT} #P_loading, use P_TCT for the triaxial compress. test + [] + [pressure_front] + boundary = 'front' + displacement_vars = 'disp_x disp_y disp_z' + function = ${P_TCT} #P_loading + [] + # [pressure_top] + # boundary = 'top' + # displacement_vars = 'disp_x disp_y disp_z' + # function = Q_loading + # [] + [] + [strain_rate] + type = FunctionDirichletBC + variable = disp_z + boundary = 'top' + function = strain_rate + [] +[] + +[Materials] + [elasticity] + type = BVMechanicalMaterial + displacements = 'disp_x disp_y disp_z' + young_modulus = ${E} + poisson_ratio = ${nu} + initial_stress = '-${P} -${Q} -${P}' + inelastic_models = 'viscoelastic' + [] + [viscoelastic] + type = BVRTL2020ModelUpdate + volumetric = false + temperature = temp + Tr = ${Tr} + Ar = ${Ar} + alpha = ${alpha} + A1 = ${A1} + n1 = ${n1} + A2 = ${A2} + n2 = ${n2} + A = ${A} + n = ${n} + B = ${B} + m = ${m} + Nz = ${Nz} + nz = ${nz} + Mz = ${Mz} + mz = ${mz} + z = ${z} + [] +[] + +[Postprocessors] + [eqv_strain_rate] + type = ElementAverageValue + variable = eqv_strain_rate + outputs = csv + [] + [eqv_strain] + type = ElementAverageValue + variable = eqv_strain + outputs = csv + [] + [eqv_strain_L] + type = ElementAverageValue + variable = eqv_creep_strain_L + outputs = csv + [] + [eqv_strain_R] + type = ElementAverageValue + variable = eqv_creep_strain_R + outputs = csv + [] + [strain_zz] + type = ElementAverageValue + variable = strain_yy + outputs = csv + [] + [stress_zz] + type = ElementAverageValue + variable = stress_zz + outputs = csv + [] + [q] + type = ElementAverageValue + variable = eqv_stress + outputs = csv + [] +[] + +[Preconditioning] + active = 'hypre' + [hypre] + type = SMP + full = true + petsc_options = '-snes_ksp_ew' + petsc_options_iname = '-pc_type -pc_hypre_type + -snes_atol -snes_rtol -snes_stol -snes_max_it + -snes_linesearch_type' + petsc_options_value = 'hypre boomeramg + 1.0e-10 1.0e-12 0 20 + basic' + [] + [superlu] + type = SMP + full = true + petsc_options = '-snes_ksp_ew -snes_converged_reason -ksp_converged_reason -ksp_gmres_modifiedgramschmidt -ksp_diagonal_scale -ksp_diagonal_scale_fix' + petsc_options_iname = '-snes_type + -snes_atol -snes_rtol -snes_max_it + -pc_type -pc_factor_mat_solver_package + -snes_linesearch_type' + petsc_options_value = 'newtonls + 1e-10 1e-12 50 + lu superlu_dist + l2' + [] + [asm] + type = SMP + petsc_options = '-snes_ksp_ew' + petsc_options_iname = '-ksp_type + -pc_type + -sub_pc_type + -snes_type -snes_atol -snes_rtol -snes_max_it -snes_linesearch_type + -ksp_gmres_restart' + petsc_options_value = 'fgmres + asm + ilu + newtonls 1e-10 1e-10 120 basic + 201' + [] +[] + +[Executioner] + type = Transient + solve_type = 'NEWTON' + automatic_scaling = true + start_time = 0.0 + end_time = 200 + dt = 0.02 + timestep_tolerance = 1.0e-10 +[] + +[Outputs] + perf_graph = true + exodus = true + [csv] + type = CSV + execute_on = 'timestep_end' + [] +[] \ No newline at end of file diff --git a/examples/viscoelasticity/RTL2020/BVRTL2020salt5triaxialtest1.i b/examples/viscoelasticity/RTL2020/BVRTL2020salt5triaxialtest1.i new file mode 100644 index 0000000..46ebbcf --- /dev/null +++ b/examples/viscoelasticity/RTL2020/BVRTL2020salt5triaxialtest1.i @@ -0,0 +1,363 @@ +# Modified Lemaitre creep model +# See the first three figures of Fig.8 in Azabou et al. (2021) +# Parameters +# Units: stress in MPa, time in days, strain in m / m +E = 22126 +nu = 0.2 +alpha = 0.5812 +A1 = 0.1854 +n1 = 2.1012 +A2 = 3.7009 +n2 = 6.7562 +A = 155.6582 +n = 11.989 +B = 0.01918 +m = 2.2195 +Tr = 289 +Ar = 1725 +P = 5 +z = 0.4523 +Nz = 0.0241 +nz = 1.2644 +Mz = 0.024 +mz = 1.028 + +[Mesh] + type = GeneratedMesh + dim = 3 + # nx = 5 + # ny = 10 + # nz = 5 + nx = 1 + ny = 1 + nz = 1 + xmin = 0 + xmax = 65e-03 + ymin = 0 + ymax = 130e-03 + zmin = 0 + zmax = 65e-03 +[] + +[Variables] + [disp_x] + order = FIRST + family = LAGRANGE + [] + [disp_y] + order = FIRST + family = LAGRANGE + [] + [disp_z] + order = FIRST + family = LAGRANGE + [] +[] + +[Kernels] + [stress_x] + type = BVStressDivergence + component = x + variable = disp_x + [] + [stress_y] + type = BVStressDivergence + component = y + variable = disp_y + [] + [stress_z] + type = BVStressDivergence + component = z + variable = disp_z + [] +[] + +[AuxVariables] + [temp] + order = FIRST + family = LAGRANGE + initial_condition = 292.15 + [] + [eqv_stress] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain_rate] + order = CONSTANT + family = MONOMIAL + [] + [eqv_creep_strain_L] + order = CONSTANT + family = MONOMIAL + [] + [eqv_creep_strain_R] + order = CONSTANT + family = MONOMIAL + [] + [strain_yy] + order = CONSTANT + family = MONOMIAL + [] + [stress_yy] + order = CONSTANT + family = MONOMIAL + [] + [vol_strain] + order = CONSTANT + family = MONOMIAL + [] + [vol_strain_neg] + order = CONSTANT + family = MONOMIAL + [] +[] + +[AuxKernels] + [temp_aux] + type = ConstantAux + variable = temp + value = 292.15 + execute_on = 'TIMESTEP_END' + [] + [eqv_stress_aux] + type = BVMisesStressAux + variable = eqv_stress + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_aux] + type = BVEqvStrainAux + variable = eqv_strain + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_rate_aux] + type = BVEqvStrainRateAux + variable = eqv_strain_rate + execute_on = 'TIMESTEP_END' + [] + [eqv_creep_strain_L_aux] + type = ADMaterialRealAux + variable = eqv_creep_strain_L + property = eqv_creep_strain_L + execute_on = 'TIMESTEP_END' + [] + [eqv_creep_strain_R_aux] + type = ADMaterialRealAux + variable = eqv_creep_strain_R + property = eqv_creep_strain_R + execute_on = 'TIMESTEP_END' + [] + [strain_zz_aux] + type = BVStrainComponentAux + variable = strain_yy + index_i = y + index_j = y + execute_on = 'TIMESTEP_END' + [] + [stress_zz_aux] + type = BVStressComponentAux + variable = stress_yy + index_i = y + index_j = y + execute_on = 'TIMESTEP_END' + [] + [vol_strain_aux] + type = BVVolStrainAux + variable = vol_strain + execute_on = 'TIMESTEP_END' + [] + [vol_strain_neg] + type = ParsedAux + coupled_variables = vol_strain + expression = '-vol_strain' + variable = vol_strain_neg + [] +[] + +[Functions] + [strain_rate] + type = ParsedFunction + symbol_names = 'e_dot L' + symbol_values = '1.0e-06 130e-03' + expression = '-e_dot*L*t*86400' #converted to per days + [] +[] + +[BCs] + [no_x] + type = DirichletBC + variable = disp_x + boundary = 'left' + value = 0.0 + [] + [no_y] + type = DirichletBC + variable = disp_y + boundary = 'bottom' + value = 0.0 + [] + [no_z] + type = DirichletBC + variable = disp_z + boundary = 'back' + value = 0.0 + [] + [BVPressure] + [pressure_right] + boundary = 'right' + displacement_vars = 'disp_x disp_y disp_z' + function = ${P} + [] + [pressure_front] + boundary = 'front' + displacement_vars = 'disp_x disp_y disp_z' + function = ${P} + [] + [] + [strain_rate] + type = FunctionDirichletBC + variable = disp_y + boundary = 'top' + function = strain_rate + [] +[] + +[Materials] + [elasticity] + type = BVMechanicalMaterial + displacements = 'disp_x disp_y disp_z' + young_modulus = ${E} + poisson_ratio = ${nu} + initial_stress = '-${P} -${P} -${P}' + inelastic_models = 'viscoelastic' + [] + [viscoelastic] + type = BVRTL2020ModelUpdate + volumetric = true + temperature = temp + Tr = ${Tr} + Ar = ${Ar} + alpha = ${alpha} + A1 = ${A1} + n1 = ${n1} + A2 = ${A2} + n2 = ${n2} + A = ${A} + n = ${n} + B = ${B} + m = ${m} + Nz = ${Nz} + nz = ${nz} + Mz = ${Mz} + mz = ${mz} + z = ${z} + [] +[] + +[Postprocessors] + [eqv_strain_rate] + type = ElementAverageValue + variable = eqv_strain_rate + outputs = csv + [] + [eqv_strain] + type = ElementAverageValue + variable = eqv_strain + outputs = csv + [] + [eqv_strain_L] + type = ElementAverageValue + variable = eqv_creep_strain_L + outputs = csv + [] + [eqv_strain_R] + type = ElementAverageValue + variable = eqv_creep_strain_R + outputs = csv + [] + [strain_zz] + type = ElementAverageValue + variable = strain_yy + outputs = csv + [] + [stress_zz] + type = ElementAverageValue + variable = stress_yy + outputs = csv + [] + [q] + type = ElementAverageValue + variable = eqv_stress + outputs = csv + [] + [vol_strain] + type = ElementAverageValue + variable = vol_strain_neg #used parsedaux kernel to turn the vol strain into negative + outputs = csv + [] +[] + +[Preconditioning] + active = 'hypre' + [hypre] + type = SMP + full = true + petsc_options = '-snes_ksp_ew' + petsc_options_iname = '-pc_type -pc_hypre_type + -snes_atol -snes_rtol -snes_stol -snes_max_it + -snes_linesearch_type' + petsc_options_value = 'hypre boomeramg + 1.0e-10 1.0e-12 0 20 + basic' + [] + [superlu] + type = SMP + full = true + petsc_options = '-snes_ksp_ew -snes_converged_reason -ksp_converged_reason -ksp_gmres_modifiedgramschmidt -ksp_diagonal_scale -ksp_diagonal_scale_fix' + petsc_options_iname = '-snes_type + -snes_atol -snes_rtol -snes_max_it + -pc_type -pc_factor_mat_solver_package + -snes_linesearch_type' + petsc_options_value = 'newtonls + 1e-10 1e-12 50 + lu superlu_dist + l2' + [] + [asm] + type = SMP + petsc_options = '-snes_ksp_ew' + petsc_options_iname = '-ksp_type + -pc_type + -sub_pc_type + -snes_type -snes_atol -snes_rtol -snes_max_it -snes_linesearch_type + -ksp_gmres_restart' + petsc_options_value = 'fgmres + asm + ilu + newtonls 1e-10 1e-10 120 basic + 201' + [] +[] + +[Executioner] + type = Transient + solve_type = 'NEWTON' + automatic_scaling = true + start_time = 0.0 + end_time = 0.8873456790123455 #200 + num_steps = 800 + #dt = 0.001 + timestep_tolerance = 1.0e-10 +[] + +[Outputs] + perf_graph = true + exodus = true + [csv] + type = CSV + execute_on = 'timestep_end' + [] +[] \ No newline at end of file diff --git a/examples/viscoelasticity/RTL2020/BVRTL2020salt5triaxialtest2.i b/examples/viscoelasticity/RTL2020/BVRTL2020salt5triaxialtest2.i new file mode 100644 index 0000000..019922d --- /dev/null +++ b/examples/viscoelasticity/RTL2020/BVRTL2020salt5triaxialtest2.i @@ -0,0 +1,363 @@ +# Modified Lemaitre creep model +# See the first three figures of Fig.8 in Azabou et al. (2021) +# Parameters +# Units: stress in MPa, time in days, strain in m / m +E = 22126 +nu = 0.2 +alpha = 0.5812 +A1 = 0.1854 +n1 = 2.1012 +A2 = 3.7009 +n2 = 6.7562 +A = 155.6582 +n = 11.989 +B = 0.01918 +m = 2.2195 +Tr = 289 +Ar = 1725 +P = 5 +z = 0.4523 +Nz = 0.0241 +nz = 1.2644 +Mz = 0.024 +mz = 1.028 + +[Mesh] + type = GeneratedMesh + dim = 3 + # nx = 5 + # ny = 10 + # nz = 5 + nx = 1 + ny = 1 + nz = 1 + xmin = 0 + xmax = 65e-03 + ymin = 0 + ymax = 130e-03 + zmin = 0 + zmax = 65e-03 +[] + +[Variables] + [disp_x] + order = FIRST + family = LAGRANGE + [] + [disp_y] + order = FIRST + family = LAGRANGE + [] + [disp_z] + order = FIRST + family = LAGRANGE + [] +[] + +[Kernels] + [stress_x] + type = BVStressDivergence + component = x + variable = disp_x + [] + [stress_y] + type = BVStressDivergence + component = y + variable = disp_y + [] + [stress_z] + type = BVStressDivergence + component = z + variable = disp_z + [] +[] + +[AuxVariables] + [temp] + order = FIRST + family = LAGRANGE + initial_condition = 293.15 + [] + [eqv_stress] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain_rate] + order = CONSTANT + family = MONOMIAL + [] + [eqv_creep_strain_L] + order = CONSTANT + family = MONOMIAL + [] + [eqv_creep_strain_R] + order = CONSTANT + family = MONOMIAL + [] + [strain_yy] + order = CONSTANT + family = MONOMIAL + [] + [stress_yy] + order = CONSTANT + family = MONOMIAL + [] + [vol_strain] + order = CONSTANT + family = MONOMIAL + [] + [vol_strain_neg] + order = CONSTANT + family = MONOMIAL + [] +[] + +[AuxKernels] + [temp_aux] + type = ConstantAux + variable = temp + value = 293.15 + execute_on = 'TIMESTEP_END' + [] + [eqv_stress_aux] + type = BVMisesStressAux + variable = eqv_stress + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_aux] + type = BVEqvStrainAux + variable = eqv_strain + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_rate_aux] + type = BVEqvStrainRateAux + variable = eqv_strain_rate + execute_on = 'TIMESTEP_END' + [] + [eqv_creep_strain_L_aux] + type = ADMaterialRealAux + variable = eqv_creep_strain_L + property = eqv_creep_strain_L + execute_on = 'TIMESTEP_END' + [] + [eqv_creep_strain_R_aux] + type = ADMaterialRealAux + variable = eqv_creep_strain_R + property = eqv_creep_strain_R + execute_on = 'TIMESTEP_END' + [] + [strain_zz_aux] + type = BVStrainComponentAux + variable = strain_yy + index_i = y + index_j = y + execute_on = 'TIMESTEP_END' + [] + [stress_zz_aux] + type = BVStressComponentAux + variable = stress_yy + index_i = y + index_j = y + execute_on = 'TIMESTEP_END' + [] + [vol_strain_aux] + type = BVVolStrainAux + variable = vol_strain + execute_on = 'TIMESTEP_END' + [] + [vol_strain_neg] + type = ParsedAux + coupled_variables = vol_strain + expression = '-vol_strain' + variable = vol_strain_neg + [] +[] + +[Functions] + [strain_rate] + type = ParsedFunction + symbol_names = 'e_dot L' + symbol_values = '1.0e-05 130e-03' + expression = '-e_dot*L*t*86400' #converted to per days + [] +[] + +[BCs] + [no_x] + type = DirichletBC + variable = disp_x + boundary = 'left' + value = 0.0 + [] + [no_y] + type = DirichletBC + variable = disp_y + boundary = 'bottom' + value = 0.0 + [] + [no_z] + type = DirichletBC + variable = disp_z + boundary = 'back' + value = 0.0 + [] + [BVPressure] + [pressure_right] + boundary = 'right' + displacement_vars = 'disp_x disp_y disp_z' + function = ${P} + [] + [pressure_front] + boundary = 'front' + displacement_vars = 'disp_x disp_y disp_z' + function = ${P} + [] + [] + [strain_rate] + type = FunctionDirichletBC + variable = disp_y + boundary = 'top' + function = strain_rate + [] +[] + +[Materials] + [elasticity] + type = BVMechanicalMaterial + displacements = 'disp_x disp_y disp_z' + young_modulus = ${E} + poisson_ratio = ${nu} + initial_stress = '-${P} -${P} -${P}' + inelastic_models = 'viscoelastic' + [] + [viscoelastic] + type = BVRTL2020ModelUpdate + volumetric = true + temperature = temp + Tr = ${Tr} + Ar = ${Ar} + alpha = ${alpha} + A1 = ${A1} + n1 = ${n1} + A2 = ${A2} + n2 = ${n2} + A = ${A} + n = ${n} + B = ${B} + m = ${m} + Nz = ${Nz} + nz = ${nz} + Mz = ${Mz} + mz = ${mz} + z = ${z} + [] +[] + +[Postprocessors] + [eqv_strain_rate] + type = ElementAverageValue + variable = eqv_strain_rate + outputs = csv + [] + [eqv_strain] + type = ElementAverageValue + variable = eqv_strain + outputs = csv + [] + [eqv_strain_L] + type = ElementAverageValue + variable = eqv_creep_strain_L + outputs = csv + [] + [eqv_strain_R] + type = ElementAverageValue + variable = eqv_creep_strain_R + outputs = csv + [] + [strain_zz] + type = ElementAverageValue + variable = strain_yy + outputs = csv + [] + [stress_zz] + type = ElementAverageValue + variable = stress_yy + outputs = csv + [] + [q] + type = ElementAverageValue + variable = eqv_stress + outputs = csv + [] + [vol_strain] + type = ElementAverageValue + variable = vol_strain_neg #used parsedaux kernel to turn the vol strain into negative + outputs = csv + [] +[] + +[Preconditioning] + active = 'hypre' + [hypre] + type = SMP + full = true + petsc_options = '-snes_ksp_ew' + petsc_options_iname = '-pc_type -pc_hypre_type + -snes_atol -snes_rtol -snes_stol -snes_max_it + -snes_linesearch_type' + petsc_options_value = 'hypre boomeramg + 1.0e-10 1.0e-12 0 20 + basic' + [] + [superlu] + type = SMP + full = true + petsc_options = '-snes_ksp_ew -snes_converged_reason -ksp_converged_reason -ksp_gmres_modifiedgramschmidt -ksp_diagonal_scale -ksp_diagonal_scale_fix' + petsc_options_iname = '-snes_type + -snes_atol -snes_rtol -snes_max_it + -pc_type -pc_factor_mat_solver_package + -snes_linesearch_type' + petsc_options_value = 'newtonls + 1e-10 1e-12 50 + lu superlu_dist + l2' + [] + [asm] + type = SMP + petsc_options = '-snes_ksp_ew' + petsc_options_iname = '-ksp_type + -pc_type + -sub_pc_type + -snes_type -snes_atol -snes_rtol -snes_max_it -snes_linesearch_type + -ksp_gmres_restart' + petsc_options_value = 'fgmres + asm + ilu + newtonls 1e-10 1e-10 120 basic + 201' + [] +[] + +[Executioner] + type = Transient + solve_type = 'NEWTON' + automatic_scaling = true + start_time = 0.0 + end_time = 0.8873456790123455 #200 + num_steps = 800 + #dt = 0.001 + timestep_tolerance = 1.0e-10 +[] + +[Outputs] + perf_graph = true + exodus = true + [csv] + type = CSV + execute_on = 'timestep_end' + [] +[] \ No newline at end of file diff --git a/examples/viscoelasticity/RTL2020/BVRTL2020salt5triaxialtest3.i b/examples/viscoelasticity/RTL2020/BVRTL2020salt5triaxialtest3.i new file mode 100644 index 0000000..26f2dc1 --- /dev/null +++ b/examples/viscoelasticity/RTL2020/BVRTL2020salt5triaxialtest3.i @@ -0,0 +1,374 @@ +# Modified Lemaitre creep model +# See the first three figures of Fig.8 in Azabou et al. (2021) +# Parameters +# Units: stress in MPa, time in days, strain in m / m +E = 22126 +nu = 0.2 +alpha = 0.5812 +A1 = 0.1854 +n1 = 2.1012 +A2 = 3.7009 +n2 = 6.7562 +A = 155.6582 +n = 11.989 +B = 0.01918 +m = 2.2195 +Tr = 289 +Ar = 1725 +P = 5 +z = 0.4523 +Nz = 0.0241 +nz = 1.2644 +Mz = 0.024 +mz = 1.028 + +[Mesh] + type = GeneratedMesh + dim = 3 + # nx = 5 + # ny = 10 + # nz = 5 + nx = 1 + ny = 1 + nz = 1 + xmin = 0 + xmax = 65e-03 + ymin = 0 + ymax = 130e-03 + zmin = 0 + zmax = 65e-03 +[] + +[Variables] + [disp_x] + order = FIRST + family = LAGRANGE + [] + [disp_y] + order = FIRST + family = LAGRANGE + [] + [disp_z] + order = FIRST + family = LAGRANGE + [] +[] + +[Kernels] + [stress_x] + type = BVStressDivergence + component = x + variable = disp_x + [] + [stress_y] + type = BVStressDivergence + component = y + variable = disp_y + [] + [stress_z] + type = BVStressDivergence + component = z + variable = disp_z + [] +[] + +[AuxVariables] + [temp] + order = FIRST + family = LAGRANGE + initial_condition = 303.15 + [] + [eqv_stress] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain_rate] + order = CONSTANT + family = MONOMIAL + [] + [eqv_creep_strain_L] + order = CONSTANT + family = MONOMIAL + [] + [eqv_creep_strain_R] + order = CONSTANT + family = MONOMIAL + [] + [strain_yy] + order = CONSTANT + family = MONOMIAL + [] + [stress_yy] + order = CONSTANT + family = MONOMIAL + [] + [vol_strain] + order = CONSTANT + family = MONOMIAL + [] + [vol_strain_neg] + order = CONSTANT + family = MONOMIAL + [] +[] + +[AuxKernels] + [temp_aux] + type = ConstantAux + variable = temp + value = 303.15 + execute_on = 'TIMESTEP_END' + [] + [eqv_stress_aux] + type = BVMisesStressAux + variable = eqv_stress + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_aux] + type = BVEqvStrainAux + variable = eqv_strain + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_rate_aux] + type = BVEqvStrainRateAux + variable = eqv_strain_rate + execute_on = 'TIMESTEP_END' + [] + [eqv_creep_strain_L_aux] + type = ADMaterialRealAux + variable = eqv_creep_strain_L + property = eqv_creep_strain_L + execute_on = 'TIMESTEP_END' + [] + [eqv_creep_strain_R_aux] + type = ADMaterialRealAux + variable = eqv_creep_strain_R + property = eqv_creep_strain_R + execute_on = 'TIMESTEP_END' + [] + [strain_zz_aux] + type = BVStrainComponentAux + variable = strain_yy + index_i = y + index_j = y + execute_on = 'TIMESTEP_END' + [] + [stress_zz_aux] + type = BVStressComponentAux + variable = stress_yy + index_i = y + index_j = y + execute_on = 'TIMESTEP_END' + [] + [vol_strain_aux] + type = BVVolStrainAux + variable = vol_strain + execute_on = 'TIMESTEP_END' + [] + [vol_strain_neg] + type = ParsedAux + coupled_variables = vol_strain + expression = '-vol_strain' + variable = vol_strain_neg + [] +[] + +[Functions] + [P_confining] + type = ParsedFunction + symbol_names = 'p_dot' + symbol_values = '-1e6' # Pa/s + expression = '-p_dot*t' # no need to converted time to per days. final pressure is in Pa + [] + [Q_axial] + type = ParsedFunction + symbol_names = 'P_c' + symbol_values = 'P_confining' + expression = '51-(2*P_c)' + [] +[] + +[BCs] + [no_x] + type = DirichletBC + variable = disp_x + boundary = 'left' + value = 0.0 + [] + [no_y] + type = DirichletBC + variable = disp_y + boundary = 'bottom' + value = 0.0 + [] + [no_z] + type = DirichletBC + variable = disp_z + boundary = 'back' + value = 0.0 + [] + [BVPressure] + [pressure_right] + boundary = 'right' + displacement_vars = 'disp_x disp_y disp_z' + function = P_confining + [] + [pressure_front] + boundary = 'front' + displacement_vars = 'disp_x disp_y disp_z' + function = P_confining + [] + [pressure_top] + boundary = 'top' + displacement_vars = 'disp_x disp_y disp_z' + function = Q_axial + [] + [] + # [axial_stress] + # type = FunctionDirichletBC + # variable = disp_y + # boundary = 'top' + # function = Q_axial + # [] +[] + +[Materials] + [elasticity] + type = BVMechanicalMaterial + displacements = 'disp_x disp_y disp_z' + young_modulus = ${E} + poisson_ratio = ${nu} + initial_stress = '-${P} -${P} -${P}' + inelastic_models = 'viscoelastic' + [] + [viscoelastic] + type = BVRTL2020ModelUpdate + volumetric = true + temperature = temp + Tr = ${Tr} + Ar = ${Ar} + alpha = ${alpha} + A1 = ${A1} + n1 = ${n1} + A2 = ${A2} + n2 = ${n2} + A = ${A} + n = ${n} + B = ${B} + m = ${m} + Nz = ${Nz} + nz = ${nz} + Mz = ${Mz} + mz = ${mz} + z = ${z} + [] +[] + +[Postprocessors] + [eqv_strain_rate] + type = ElementAverageValue + variable = eqv_strain_rate + outputs = csv + [] + [eqv_strain] + type = ElementAverageValue + variable = eqv_strain + outputs = csv + [] + [eqv_strain_L] + type = ElementAverageValue + variable = eqv_creep_strain_L + outputs = csv + [] + [eqv_strain_R] + type = ElementAverageValue + variable = eqv_creep_strain_R + outputs = csv + [] + [strain_zz] + type = ElementAverageValue + variable = strain_yy + outputs = csv + [] + [stress_zz] + type = ElementAverageValue + variable = stress_yy + outputs = csv + [] + [q] + type = ElementAverageValue + variable = eqv_stress + outputs = csv + [] + [vol_strain] + type = ElementAverageValue + variable = vol_strain_neg #used parsedaux kernel to turn the vol strain into negative + outputs = csv + [] +[] + +[Preconditioning] + active = 'hypre' + [hypre] + type = SMP + full = true + petsc_options = '-snes_ksp_ew' + petsc_options_iname = '-pc_type -pc_hypre_type + -snes_atol -snes_rtol -snes_stol -snes_max_it + -snes_linesearch_type' + petsc_options_value = 'hypre boomeramg + 1.0e-10 1.0e-12 0 20 + basic' + [] + [superlu] + type = SMP + full = true + petsc_options = '-snes_ksp_ew -snes_converged_reason -ksp_converged_reason -ksp_gmres_modifiedgramschmidt -ksp_diagonal_scale -ksp_diagonal_scale_fix' + petsc_options_iname = '-snes_type + -snes_atol -snes_rtol -snes_max_it + -pc_type -pc_factor_mat_solver_package + -snes_linesearch_type' + petsc_options_value = 'newtonls + 1e-10 1e-12 50 + lu superlu_dist + l2' + [] + [asm] + type = SMP + petsc_options = '-snes_ksp_ew' + petsc_options_iname = '-ksp_type + -pc_type + -sub_pc_type + -snes_type -snes_atol -snes_rtol -snes_max_it -snes_linesearch_type + -ksp_gmres_restart' + petsc_options_value = 'fgmres + asm + ilu + newtonls 1e-10 1e-10 120 basic + 201' + [] +[] + +[Executioner] + type = Transient + solve_type = 'NEWTON' + automatic_scaling = true + start_time = 0.0 + end_time = 0.8873456790123455 #200 + num_steps = 800 + #dt = 0.001 + timestep_tolerance = 1.0e-10 +[] + +[Outputs] + perf_graph = true + exodus = true + [csv] + type = CSV + execute_on = 'timestep_end' + [] +[] \ No newline at end of file diff --git a/examples/viscoelasticity/RTL2020/salt1to4results/BVRTL2020ModelUpdate_csv.csv:Zone.Identifier b/examples/viscoelasticity/RTL2020/salt1to4results/BVRTL2020ModelUpdate_csv.csv:Zone.Identifier new file mode 100644 index 0000000..e69de29 diff --git a/examples/viscoelasticity/RTL2020/salt5data/salt5data - Copy.py:Zone.Identifier b/examples/viscoelasticity/RTL2020/salt5data/salt5data - Copy.py:Zone.Identifier new file mode 100644 index 0000000..e69de29 diff --git a/examples/viscoelasticity/RTL2020/salt5data/salt5data.py b/examples/viscoelasticity/RTL2020/salt5data/salt5data.py new file mode 100644 index 0000000..9319ae9 --- /dev/null +++ b/examples/viscoelasticity/RTL2020/salt5data/salt5data.py @@ -0,0 +1,28 @@ +# computes the Q and P stress values from the X = Q - P (MPa) and Y = (Q + 2P)/3(MPa) +# stress values shown on the graph in Fig. 7 and Fig. 8 of Azabou et al. (2021) +import csv + +# Example data for multiple rows: (time, X, Y) +data = [ + (10, 4.0, 10.0), + (40, 7.5, 10.0), + (90, 15, 10.0), + (140, 18, 10.0), + (170, 21, 10.0), + # Add more rows as needed +] + +# Open a CSV file for writing +with open('stress_values.csv', mode='w', newline='') as file: + writer = csv.writer(file) + + # Write the header row + writer.writerow(["Time (%)", "X = Q - P (MPa)", "Y = (Q + 2P)/3 (MPa)", "Q = X + P (MPa)", "P = (3Y - X)/3 (MPa)"]) + + # Calculate P and Q for each row and write to the CSV file + for time, X, Y in data: + P = (3 * Y - X) / 3 + Q = X + P + writer.writerow([time, X, Y, Q, P]) # Include time in the output + +print("Data has been written to 'stress_values.csv'") \ No newline at end of file diff --git a/examples/viscoelasticity/RTL2020/salt5data/salt5triaxialtestdata.py b/examples/viscoelasticity/RTL2020/salt5data/salt5triaxialtestdata.py new file mode 100644 index 0000000..f96cc06 --- /dev/null +++ b/examples/viscoelasticity/RTL2020/salt5data/salt5triaxialtestdata.py @@ -0,0 +1,71 @@ +def calculate_epsilon(γ, ζ): + """ + Solves for ε_ax and ε_r given γ and ζ. + + Parameters: + γ (float): The value of γ. + ζ (float): The value of ζ. + + Returns: + tuple: (ε_ax, ε_r) + """ + # Solving the system of equations: + # γ = (2/3)(ε_ax - ε_r) + # ζ = 2ε_r + ε_ax + + # From the first equation: ε_ax = (3/2)γ + ε_r + # Substitute ε_ax into the second equation: + # ζ = 2ε_r + (3/2)γ + ε_r + # ζ = 3ε_r + (3/2)γ + # ε_r = (ζ - (3/2)γ) / 3 + + ε_r = (ζ - (3/2) * γ) / 3 + ε_ax = (3/2) * γ + ε_r + + return ε_ax, ε_r + +def compute_t(ε_ax, ε_ax_dot): + """ + Computes t = |ε_ax / ε_ax_dot| + + Parameters: + ε_ax (float): The value of ε_ax. + ε_ax_dot (float): The value of ε_ax_dot. + + Returns: + float: The value of t. + """ + t = abs(ε_ax / ε_ax_dot) + return t + +def seconds_to_days(t_seconds): + """ + Converts time from seconds to days. + + Parameters: + t_seconds (float): Time in seconds. + + Returns: + float: Time in days. + """ + return t_seconds / 86400 # 86400 seconds in a day + +# Example usage: +γ = 0.08 # Example value for γ +ζ = -0.01 # Example value for ζ +ε_ax_dot = 1e-6 # Example value for ε_ax_dot + +# Calculate ε_ax and ε_r +ε_ax, ε_r = calculate_epsilon(γ, ζ) + +# Compute t in seconds +t_seconds = compute_t(ε_ax, ε_ax_dot) + +# Convert t to days +t_days = seconds_to_days(t_seconds) + +# Print the results +print(f"ε_ax: {ε_ax}") +print(f"ε_r: {ε_r}") +print(f"t (seconds): {t_seconds}") +print(f"t (days): {t_days}") \ No newline at end of file diff --git a/examples/viscoelasticity/RTL2020/salt5results/BVRTL2020salt5triaxialtest3_csv.xlsx b/examples/viscoelasticity/RTL2020/salt5results/BVRTL2020salt5triaxialtest3_csv.xlsx new file mode 100644 index 0000000..1b55f4b Binary files /dev/null and b/examples/viscoelasticity/RTL2020/salt5results/BVRTL2020salt5triaxialtest3_csv.xlsx differ diff --git a/examples/viscoelasticity/RTL2020/salt5results/BVRTL2020salt5triaxialtest_test1.xlsx b/examples/viscoelasticity/RTL2020/salt5results/BVRTL2020salt5triaxialtest_test1.xlsx new file mode 100644 index 0000000..d9fa474 Binary files /dev/null and b/examples/viscoelasticity/RTL2020/salt5results/BVRTL2020salt5triaxialtest_test1.xlsx differ diff --git a/examples/viscoelasticity/RTL2020/salt5results/BVRTL2020salt5triaxialtest_test2.xlsx b/examples/viscoelasticity/RTL2020/salt5results/BVRTL2020salt5triaxialtest_test2.xlsx new file mode 100644 index 0000000..fc0590b Binary files /dev/null and b/examples/viscoelasticity/RTL2020/salt5results/BVRTL2020salt5triaxialtest_test2.xlsx differ diff --git a/examples/viscoelasticity/lemaitre/lemaitre.i b/examples/viscoelasticity/lemaitre/lemaitre.i new file mode 100644 index 0000000..197efaa --- /dev/null +++ b/examples/viscoelasticity/lemaitre/lemaitre.i @@ -0,0 +1,254 @@ +# Input file for purely Lemaitre creep model based on RTL2020 model (Azabou et al. (2021)). +# Note: Parameter A is set to zero to ensure the Munson-Dawson component is zero. +# Also, volumetric part is set to false and parameter z is set to zero. +# Parameters +# Units used for the simulation: stress in MPa, time in days, strain in m / m + +E = 6000 +nu = 0.000044 +alpha = 0.1 +A2 = 1 +n2 = 14.8 +Ar = 1 +Tr = 289 +# parameters for Munson-Dawson part +A1 = 1 +n1 = 1 +A = 0.0 +n = 10 +B = 0.0 +m = 2.2195 +P = 1 +# parameters for volumetric part +z = 0.0 +Nz = 0.0241 +nz = 1.2644 +Mz = 0.024 +mz = 1.028 + +[Mesh] + type = GeneratedMesh + dim = 3 + nx = 1 + ny = 1 + nz = 2 + xmin = 0 + xmax = 1 + ymin = 0 + ymax = 1 + zmin = 0 + zmax = 0.1 +[] + +[Variables] + [disp_x] + order = FIRST + family = LAGRANGE + [] + [disp_y] + order = FIRST + family = LAGRANGE + [] + [disp_z] + order = FIRST + family = LAGRANGE + [] +[] + +[Kernels] + [stress_x] + type = BVStressDivergence + component = x + variable = disp_x + [] + [stress_y] + type = BVStressDivergence + component = y + variable = disp_y + [] + [stress_z] + type = BVStressDivergence + component = z + variable = disp_z + [] +[] + +[AuxVariables] + [temp] + order = FIRST + family = LAGRANGE + initial_condition = 289 + [] + [eqv_stress] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain_rate] + order = CONSTANT + family = MONOMIAL + [] + [strain_yy] + order = CONSTANT + family = MONOMIAL + [] + [eqv_creep_strain_L] + order = CONSTANT + family = MONOMIAL + [] +[] + +[AuxKernels] + [temp_aux] + type = ConstantAux + variable = temp + value = 289 + execute_on = 'TIMESTEP_END' + [] + [eqv_stress_aux] + type = BVMisesStressAux + variable = eqv_stress + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_aux] + type = BVEqvStrainAux + variable = eqv_strain + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_rate_aux] + type = BVEqvStrainRateAux + variable = eqv_strain_rate + execute_on = 'TIMESTEP_END' + [] + [strain_yy_aux] + type = BVStrainComponentAux + variable = strain_yy + index_i = y + index_j = y + execute_on = 'TIMESTEP_END' + [] + [eqv_creep_strain_L_aux] + type = ADMaterialRealAux + variable = eqv_creep_strain_L + property = eqv_creep_strain_L + execute_on = 'TIMESTEP_END' + [] +[] + +[BCs] + [no_x] + type = DirichletBC + variable = disp_x + boundary = 'left' + value = 0.0 + [] + [no_y] + type = DirichletBC + variable = disp_y + boundary = 'bottom' + value = 0.0 + [] + [no_z] + type = DirichletBC + variable = disp_z + boundary = 'front back' + value = 0.0 + [] + [BVPressure] + [pressure_right] + boundary = 'right' + displacement_vars = 'disp_x disp_y disp_z' + value = 0.0 + [] + [pressure_top] + boundary = 'top' + displacement_vars = 'disp_x disp_y disp_z' + value = -2.0 + [] + [] +[] + +[Materials] + [elasticity] + type = BVMechanicalMaterial + displacements = 'disp_x disp_y disp_z' + young_modulus = ${E} + poisson_ratio = ${nu} + initial_stress = '-${P} ${P} 0.0' + inelastic_models = 'viscoelastic' + [] + [viscoelastic] + type = BVRTL2020ModelUpdate + volumetric = false + temperature = temp + Tr = ${Tr} + Ar = ${Ar} + alpha = ${alpha} + A1 = ${A1} + n1 = ${n1} + A2 = ${A2} + n2 = ${n2} + A = ${A} + n = ${n} + B = ${B} + m = ${m} + Nz = ${Nz} + nz = ${nz} + Mz = ${Mz} + mz = ${mz} + z = ${z} + [] +[] + +[Preconditioning] + active = 'hypre' + [hypre] + type = SMP + full = true + petsc_options = '-snes_ksp_ew -snes_converged_reason -ksp_converged_reason -ksp_diagonal_scale -ksp_diagonal_scale_fix' + petsc_options_iname = '-pc_type -pc_hypre_type + -snes_atol -snes_rtol -snes_stol -snes_max_it -snes_linesearch_type' + petsc_options_value = 'hypre boomeramg + 1.0e-10 1.0e-12 0 20 + basic' + [] +[] + +[Postprocessors] + [e] + type = ElementAverageValue + variable = eqv_strain + outputs = csv + [] + [e_rate] + type = ElementAverageValue + variable = eqv_strain_rate + outputs = csv + [] + [eqv_strain_L] + type = ElementAverageValue + variable = eqv_creep_strain_L + outputs = csv + [] +[] + +[Executioner] + type = Transient + solve_type = 'NEWTON' + start_time = 0.0 + end_time = 1 + dt = 0.0001 +[] + +[Outputs] + perf_graph = true + execute_on = 'TIMESTEP_END' + print_linear_residuals = false + exodus = true + [csv] + type = CSV + [] +[] diff --git a/examples/viscoelasticity/lemaitre/lemaitre.py b/examples/viscoelasticity/lemaitre/lemaitre.py new file mode 100644 index 0000000..80931a7 --- /dev/null +++ b/examples/viscoelasticity/lemaitre/lemaitre.py @@ -0,0 +1,58 @@ +import os, csv +import numpy as np +import matplotlib.pyplot as plt +from matplotlib.lines import Line2D +plt.style.use('../../publication.mplstyle') + +# Creep test using the Lemaitre model +# Units +# Stress in MPa +# Strain in % +# Time in days +q = 2.0 +A_2 = 1.0 +alpha = 0.1 +beta = 1.48 + +def analyticalSolution(t): + return 1.0e-02 * np.power(q / A_2, beta) * np.power(t, alpha) + +def numericalSolution(): + filename = "lemaitre_csv.csv" + + t, e = np.loadtxt(filename, delimiter=',', skiprows=1, usecols=[0, 3], unpack=True) + + return (t, e * 1.0e+04) + +def plot_lemaitre(ax): + ta = np.linspace(0.0, 1.0, 500) + + # Analytical solution + ea = analyticalSolution(ta) + # Numerical solution + tn, en = numericalSolution() + + # Plot analytical + ax.plot(ta, ea, color="xkcd:red", label="Analytical") + # Plot numerical + ax.scatter(tn, en, c="k", marker="o", linewidths=0.0, label="Numerical") + + # Legend + ax.legend(loc="best") + + # Additional plot settings + ax.set_ylabel(r"Shear creep strain, $\gamma_{vp}$ (\%)") + ax.set_xlabel(r"Time, $t$ (days)") + # ax.set_yscale('log') # Uncomment if log scale is desired + +if __name__ == '__main__': + # Figure stress + fig, ax = plt.subplots() + + plot_lemaitre(ax) + + ax.set_xlim(-0.05, 1.0) + ax.set_ylim(0.0, 0.03) + + # plt.show() + fig.savefig("../../../doc/content/media/lemaitre_strain.png", format="PNG", dpi=300, bbox_inches="tight") \ No newline at end of file diff --git a/examples/viscoelasticity/munson-dawson/munson_dawson.i b/examples/viscoelasticity/munson-dawson/munson_dawson.i new file mode 100644 index 0000000..c6cb993 --- /dev/null +++ b/examples/viscoelasticity/munson-dawson/munson_dawson.i @@ -0,0 +1,262 @@ +# Input file for purely Lemaitre creep model based on RTL2020 model (Azabou et al. (2021)). +# Note: Parameter A is set to zero to ensure the Munson-Dawson component is zero. +# Also, volumetric part is set to false and parameter z is set to zero. +# Parameters +# Units: stress in MPa, time in days, strain in m / m + +E = 0.6 +nu = 0.000044 +alpha = 0.1 +A2 = 0.5 +n2 = 4 +Ar = 1 +Tr = 289 +# parameters for Munson-Dawson part +A1 = 0.3 +n1 = 3 +A = 0.5 +n = 5 +B = 0.05 +m = 5 +P = 1 +# parameters for volumetric part +z = 0.0 +Nz = 0.0241 +nz = 1.2644 +Mz = 0.024 +mz = 1.028 + +[Mesh] + type = GeneratedMesh + dim = 3 + nx = 1 + ny = 1 + nz = 2 + xmin = 0 + xmax = 1 + ymin = 0 + ymax = 1 + zmin = 0 + zmax = 0.1 +[] + +[Variables] + [disp_x] + order = FIRST + family = LAGRANGE + [] + [disp_y] + order = FIRST + family = LAGRANGE + [] + [disp_z] + order = FIRST + family = LAGRANGE + [] +[] + +[Kernels] + [stress_x] + type = BVStressDivergence + component = x + variable = disp_x + [] + [stress_y] + type = BVStressDivergence + component = y + variable = disp_y + [] + [stress_z] + type = BVStressDivergence + component = z + variable = disp_z + [] +[] + +[AuxVariables] + [temp] + order = FIRST + family = LAGRANGE + initial_condition = 289 + [] + [eqv_stress] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain_rate] + order = CONSTANT + family = MONOMIAL + [] + [strain_yy] + order = CONSTANT + family = MONOMIAL + [] + [eqv_creep_strain_R] + order = CONSTANT + family = MONOMIAL + [] +[] + +[AuxKernels] + [temp_aux] + type = ConstantAux + variable = temp + value = 289 + execute_on = 'TIMESTEP_END' + [] + [eqv_stress_aux] + type = BVMisesStressAux + variable = eqv_stress + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_aux] + type = BVEqvStrainAux + variable = eqv_strain + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_rate_aux] + type = BVEqvStrainRateAux + variable = eqv_strain_rate + execute_on = 'TIMESTEP_END' + [] + [strain_yy_aux] + type = BVStrainComponentAux + variable = strain_yy + index_i = y + index_j = y + execute_on = 'TIMESTEP_END' + [] + [eqv_creep_strain_R_aux] + type = ADMaterialRealAux + variable = eqv_creep_strain_R + property = eqv_creep_strain_R + execute_on = 'TIMESTEP_END' + [] +[] + +[Functions] + [Q_loading] + type = ParsedFunction + expression = 'if(t<=15,10,5)' + [] +[] + +[BCs] + [no_x] + type = DirichletBC + variable = disp_x + boundary = 'left' + value = 0.0 + [] + [no_y] + type = DirichletBC + variable = disp_y + boundary = 'bottom' + value = 0.0 + [] + [no_z] + type = DirichletBC + variable = disp_z + boundary = 'front back' + value = 0.0 + [] + [BVPressure] + [pressure_right] + boundary = 'right' + displacement_vars = 'disp_x disp_y disp_z' + value = 0.0 + [] + [pressure_top] + boundary = 'top' + displacement_vars = 'disp_x disp_y disp_z' + function = Q_loading + # value = -10.0 + [] + [] +[] + +[Materials] + [elasticity] + type = BVMechanicalMaterial + displacements = 'disp_x disp_y disp_z' + young_modulus = ${E} + poisson_ratio = ${nu} + initial_stress = '-${P} ${P} 0.0' + inelastic_models = 'viscoelastic' + [] + [viscoelastic] + type = BVRTL2020ModelUpdate + volumetric = false + temperature = temp + Tr = ${Tr} + Ar = ${Ar} + alpha = ${alpha} + A1 = ${A1} + n1 = ${n1} + A2 = ${A2} + n2 = ${n2} + A = ${A} + n = ${n} + B = ${B} + m = ${m} + Nz = ${Nz} + nz = ${nz} + Mz = ${Mz} + mz = ${mz} + z = ${z} + [] +[] + +[Preconditioning] + active = 'hypre' + [hypre] + type = SMP + full = true + petsc_options = '-snes_ksp_ew -snes_converged_reason -ksp_converged_reason -ksp_diagonal_scale -ksp_diagonal_scale_fix' + petsc_options_iname = '-pc_type -pc_hypre_type + -snes_atol -snes_rtol -snes_stol -snes_max_it -snes_linesearch_type' + petsc_options_value = 'hypre boomeramg + 1.0e-10 1.0e-12 0 20 + basic' + [] +[] + +[Postprocessors] + [e] + type = ElementAverageValue + variable = eqv_strain + outputs = csv + [] + [e_rate] + type = ElementAverageValue + variable = eqv_strain_rate + outputs = csv + [] + [eqv_strain_R] + type = ElementAverageValue + variable = eqv_creep_strain_R + outputs = csv + [] +[] + +[Executioner] + type = Transient + solve_type = 'NEWTON' + start_time = 0.0 + end_time = 30.0 + dt = 0.01 +[] + +[Outputs] + perf_graph = true + execute_on = 'TIMESTEP_END' + print_linear_residuals = false + exodus = true + [csv] + type = CSV + [] +[] diff --git a/examples/viscoelasticity/munson-dawson/munson_dawson.py b/examples/viscoelasticity/munson-dawson/munson_dawson.py new file mode 100644 index 0000000..55944a6 --- /dev/null +++ b/examples/viscoelasticity/munson-dawson/munson_dawson.py @@ -0,0 +1,145 @@ +import os, csv +import numpy as np +import matplotlib.pyplot as plt +from matplotlib.lines import Line2D + +# Munson-Dawson creep test +# Units +# Stress in MPa +# Strain dimensionless +# Time in days + +# Model parameters +gamma_R0 = 0.0 +A1, A2 = 0.3, 0.5 +n1, n2 = 3.0, 4.0 +A, B = 0.5, 0.05 +n, m = 5.0, 5.0 +t_switch = 15.0 +q1, q2 = 10.0, 5.0 + +def analyticalSolution(t_array): + gamma_R_results = [] + gamma_R_bar_results = [] + q_results = [] + scaling_factor = 1e-6 + + # Find gamma_R at switch point for second segment + gamma_R_at_switch = gamma_R0 + + for i, t in enumerate(t_array): + # Get q value based on time + if t <= t_switch: + q = q1 + else: + q = q2 + + # Calculate gamma_R_bar + gamma_R_bar = np.power(q / A1, n1) + + # Determine initial conditions and time reference for current segment + if t <= t_switch: + # First segment + gamma_R_current = gamma_R0 + t0 = 0 + q_val = q1 + else: + # Second segment - use gamma_R value at switch point + if len(gamma_R_results) > 0: + # Find the last point before or at switch + switch_indices = [idx for idx, time_val in enumerate(t_array[:i]) if time_val <= t_switch] + if switch_indices: + gamma_R_at_switch = gamma_R_results[switch_indices[-1]] / scaling_factor # Unscale for calculation + else: + gamma_R_at_switch = gamma_R0 + else: + gamma_R_at_switch = gamma_R0 + + gamma_R_current = gamma_R_at_switch + t0 = t_switch + q_val = q2 + + # Determine regime and calculate coefficients + if gamma_R_current <= gamma_R_bar: + k = n + U = A * np.power(1 - gamma_R_current/gamma_R_bar, n-1) + else: + k = m + U = B * np.power(gamma_R_current/gamma_R_bar - 1, m-1) + + # Calculate Z + Z = np.power(A1, n1) / np.power(A2, n2) * np.power(q_val, n2 - n1) + + # Calculate V + dt = max(t - t0, 0) + V = max((k - 1) * U * Z * dt, 0) + + # Calculate xi with numerical stability + if abs(k - 1) < 1e-10: + xi = 1 - np.exp(-V) if V < 700 else 1.0 # Prevent overflow + else: + if V > 0: + xi = 1 - np.power(1 / (1 + V), 1/(k-1)) + else: + xi = 0 + + # Calculate gamma_R + gamma_R = gamma_R_current + (gamma_R_bar - gamma_R_current) * xi + + # Store scaled results + gamma_R_results.append(gamma_R * scaling_factor) + gamma_R_bar_results.append(gamma_R_bar * scaling_factor) + q_results.append(q) + + return gamma_R_results, gamma_R_bar_results, q_results + +def numericalSolution(): + filename = "munson_dawson_csv.csv" + + t, gamma_R, gamma_R_bar = np.loadtxt(filename, delimiter=',', skiprows=1, + usecols=[0, 3, 2], unpack=True) + + return t, gamma_R, gamma_R_bar + +def plot_munson_dawson(ax): + """ + Plot Munson-Dawson analytical and numerical solutions + """ + # Time array for analytical solution + ta = np.linspace(0.0, 30.0, 1000) + + # Analytical solution + gamma_R_a, gamma_R_bar_a, q_a = analyticalSolution(ta) + + # Numerical solution + tn, gamma_R_n, gamma_R_bar_n = numericalSolution() + + # Plot analytical solutions + ax.plot(ta, gamma_R_a, color="red", linewidth=2, label="Analytical") + # ax.plot(ta, gamma_R_bar_a, color="blue", linestyle="--", linewidth=2, label="γ̄_R (Analytical)") + + # Plot numerical solutions + ax.scatter(tn, gamma_R_n, c="k", marker="o", s=20, linewidths=0.0, label="Numerical") + # ax.scatter(tn, gamma_R_bar_n, c="gray", marker="s", s=20, linewidths=0.0, label="γ̄_R (Numerical)") + + # Add vertical line at stress switch + ax.axvline(x=t_switch, color='k', linestyle=':', alpha=0.7, label=r"Stress switch ($t = {}$ days)".format(t_switch)) + + # Legend + ax.legend(loc="best") + + # Additional plot settings + ax.set_ylabel(r"Creep strain, $\gamma_{R}$ ($\mu m / m$)") + ax.set_xlabel(r"Time, $t$ (days)") + # ax.grid(True, alpha=0.3) + +if __name__ == '__main__': + # Figure setup + fig, ax = plt.subplots() + + plot_munson_dawson(ax) + + ax.set_xlim(0, 30.0) + ax.set_ylim(0, None) # Auto-scale y-axis + + fig.savefig("../../../doc/content/media/munson_dawson_strain.png", format="PNG", dpi=300, bbox_inches="tight") \ No newline at end of file diff --git a/examples/viscoelasticity/parametric/parametric.i b/examples/viscoelasticity/parametric/parametric.i new file mode 100644 index 0000000..af7a784 --- /dev/null +++ b/examples/viscoelasticity/parametric/parametric.i @@ -0,0 +1,350 @@ +E = 22126 +nu = 0.2 +alpha = 0.5812 +A1 = 0.1854 +n1 = 2.1012 +A2 = 3.7009 +n2 = 6.7562 +A = 155.6582 +n = 11.989 +B = 0.01918 +m = 2.2195 +Tr = 289 +Ar = 1725 +P = 8.7 +P_TCT = 5 +Q = 12.7 +z = 0.4523 +Nz = 0.0241 +nz = 1.2644 +Mz = 0.024 +mz = 1.028 + +[Mesh] + [efm] + type = FileMeshGenerator + file = regular.msh + [] +[] + +[Variables] + [disp_x] + order = FIRST + family = LAGRANGE + [] + [disp_y] + order = FIRST + family = LAGRANGE + [] + [disp_z] + order = FIRST + family = LAGRANGE + [] +[] + +[Kernels] + [stress_x] + type = BVStressDivergence + component = x + variable = disp_x + [] + [stress_y] + type = BVStressDivergence + component = y + variable = disp_y + [] + [stress_z] + type = BVStressDivergence + component = z + variable = disp_z + [] +[] + +[AuxVariables] + [temp] + order = FIRST + family = LAGRANGE + initial_condition = 313 + [] + [eqv_stress] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain_rate] + order = CONSTANT + family = MONOMIAL + [] + [eqv_creep_strain_L] + order = CONSTANT + family = MONOMIAL + [] + [eqv_creep_strain_R] + order = CONSTANT + family = MONOMIAL + [] + [strain_yy] + order = CONSTANT + family = MONOMIAL + [] + [stress_yy] + order = CONSTANT + family = MONOMIAL + [] + [stress_zz] + order = CONSTANT + family = MONOMIAL + [] +[] + +[AuxKernels] + [temp_aux] + type = ConstantAux + variable = temp + value = 313 + execute_on = 'TIMESTEP_END' + [] + [eqv_stress_aux] + type = BVMisesStressAux + variable = eqv_stress + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_aux] + type = BVEqvStrainAux + variable = eqv_strain + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_rate_aux] + type = BVEqvStrainRateAux + variable = eqv_strain_rate + execute_on = 'TIMESTEP_END' + [] + [eqv_creep_strain_L_aux] + type = ADMaterialRealAux + variable = eqv_creep_strain_L + property = eqv_creep_strain_L + execute_on = 'TIMESTEP_END' + [] + [eqv_creep_strain_R_aux] + type = ADMaterialRealAux + variable = eqv_creep_strain_R + property = eqv_creep_strain_R + execute_on = 'TIMESTEP_END' + [] + [strain_zz_aux] + type = BVStrainComponentAux + variable = strain_yy + index_i = y + index_j = y + execute_on = 'TIMESTEP_END' + [] + [stress_yy_aux] + type = BVStressComponentAux + variable = stress_yy + index_i = y + index_j = y + execute_on = 'TIMESTEP_END' + [] + [stress_zz_aux] + type = BVStressComponentAux + variable = stress_yy + index_i = z + index_j = z + execute_on = 'TIMESTEP_END' + [] +[] + +[Functions] + [Q_loading] + type = ParsedFunction + expression = 'if(t<=10,12.7,if(t<=40,15,if(t<=90,20,if(t<=140,22,24))))' + [] + [P_loading] + type = ParsedFunction + expression = 'if(t<=10,8.7,if(t<=40,7.5,if(t<=90,5,if(t<=140,4,3))))' + [] + [strain_rate] + type = ParsedFunction + vars = 'e_dot L' + vals = '1.0e-06 130e-03' + expression = 'e_dot*L*t' + [] +[] + +[BCs] + [no_x] + type = DirichletBC + variable = disp_x + boundary = 'West' + value = 0.0 + [] + [no_y] + type = DirichletBC + variable = disp_y + boundary = 'Bottom' + value = 0.0 + [] + [no_z] + type = DirichletBC + variable = disp_z + boundary = 'North' + value = 0.0 + [] + [BVPressure] + [pressure_right] + boundary = 'East' + displacement_vars = 'disp_x disp_y disp_z' + function = ${P_TCT} #P_loading, use P_TCT for the triaxial compress. test + [] + [pressure_front] + boundary = 'South' + displacement_vars = 'disp_x disp_y disp_z' + function = ${P_TCT} #P_loading + [] + # [pressure_top] + # boundary = 'Top' + # displacement_vars = 'disp_x disp_y disp_z' + # function = Q_loading + # [] + [] + [strain_rate] + type = FunctionDirichletBC + variable = disp_z + boundary = 'Top' + function = strain_rate + [] +[] + +[Materials] + [elasticity] + type = BVMechanicalMaterial + displacements = 'disp_x disp_y disp_z' + young_modulus = ${E} + poisson_ratio = ${nu} + initial_stress = '-${P} -${Q} -${P}' + inelastic_models = 'viscoelastic' + [] + [viscoelastic] + type = BVRTL2020ModelUpdate + volumetric = false + temperature = temp + Tr = ${Tr} + Ar = ${Ar} + alpha = ${alpha} + A1 = ${A1} + n1 = ${n1} + A2 = ${A2} + n2 = ${n2} + A = ${A} + n = ${n} + B = ${B} + m = ${m} + Nz = ${Nz} + nz = ${nz} + Mz = ${Mz} + mz = ${mz} + z = ${z} + [] +[] + +[Postprocessors] + [eqv_strain_rate] + type = ElementAverageValue + variable = eqv_strain_rate + outputs = csv + [] + [eqv_strain] + type = ElementAverageValue + variable = eqv_strain + outputs = csv + [] + [eqv_strain_L] + type = ElementAverageValue + variable = eqv_creep_strain_L + outputs = csv + [] + [eqv_strain_R] + type = ElementAverageValue + variable = eqv_creep_strain_R + outputs = csv + [] + [strain_zz] + type = ElementAverageValue + variable = strain_yy + outputs = csv + [] + [stress_zz] + type = ElementAverageValue + variable = stress_zz + outputs = csv + [] + [q] + type = ElementAverageValue + variable = eqv_stress + outputs = csv + [] +[] + +[Preconditioning] + active = 'hypre' + [hypre] + type = SMP + full = true + petsc_options = '-snes_ksp_ew' + petsc_options_iname = '-pc_type -pc_hypre_type + -snes_atol -snes_rtol -snes_stol -snes_max_it + -snes_linesearch_type' + petsc_options_value = 'hypre boomeramg + 1.0e-10 1.0e-12 0 20 + basic' + [] + [superlu] + type = SMP + full = true + petsc_options = '-snes_ksp_ew -snes_converged_reason -ksp_converged_reason -ksp_gmres_modifiedgramschmidt -ksp_diagonal_scale -ksp_diagonal_scale_fix' + petsc_options_iname = '-snes_type + -snes_atol -snes_rtol -snes_max_it + -pc_type -pc_factor_mat_solver_package + -snes_linesearch_type' + petsc_options_value = 'newtonls + 1e-10 1e-12 50 + lu superlu_dist + l2' + [] + [asm] + type = SMP + petsc_options = '-snes_ksp_ew' + petsc_options_iname = '-ksp_type + -pc_type + -sub_pc_type + -snes_type -snes_atol -snes_rtol -snes_max_it -snes_linesearch_type + -ksp_gmres_restart' + petsc_options_value = 'fgmres + asm + ilu + newtonls 1e-10 1e-10 120 basic + 201' + [] +[] + +[Executioner] + type = Transient + solve_type = 'NEWTON' + automatic_scaling = true + start_time = 0.0 + end_time = 200 + dt = 0.02 + timestep_tolerance = 1.0e-10 +[] + +[Outputs] + perf_graph = true + exodus = true + [csv] + type = CSV + execute_on = 'timestep_end' + [] +[] \ No newline at end of file diff --git a/examples/viscoelasticity/parametric/regular.geo b/examples/viscoelasticity/parametric/regular.geo new file mode 100644 index 0000000..86878e3 --- /dev/null +++ b/examples/viscoelasticity/parametric/regular.geo @@ -0,0 +1,84 @@ +size_coarse = 65; +size_fine = 4.5; + +Lz = 660; +Ly = 450; + +h = 205.189718; +H = 115.96607696095386; +R = 54.42210251952307; + +Point(1) = {0.0, 0.0, 0.0, size_coarse}; +Point(2) = {Ly, 0.0, 0.0, size_coarse}; +Point(3) = {Ly, 0.0, Lz, size_coarse}; +Point(4) = {0.0, 0.0, Lz, size_coarse}; + +Point(5) = {0.0, 0.0, h, size_fine}; +Point(6) = {0.0, 0.0, h+R, size_coarse}; +Point(7) = {0.0, 0.0, h+R+H, size_coarse}; +Point(8) = {0.0, 0.0, h+R+H+R, size_fine}; + +Point(9) = {R, 0.0, h+R, size_fine}; +Point(10) = {R, 0.0, h+R+H, size_fine}; + +Point(11) = {0, R, h+R+H, size_fine}; +Point(12) = {0, R, h+R, size_fine}; +Point(13) = {0, Ly, 0, size_coarse}; +Point(14) = {0, Ly, Lz, size_coarse}; + +Point(15) = {Ly, Ly, 0, size_coarse}; +Point(16) = {Ly, Ly, Lz, size_coarse}; + +Line(1) = {1, 2}; +Line(2) = {2, 15}; +Line(3) = {15, 13}; +Line(4) = {13, 1}; +Line(5) = {1, 5}; +Line(6) = {8, 4}; +Line(7) = {4, 3}; +Line(8) = {3, 16}; +Line(9) = {16, 14}; +Line(10) = {14, 4}; +Line(11) = {13, 14}; +Line(12) = {15, 16}; +Line(13) = {2, 3}; +Line(14) = {9, 10}; +Line(15) = {12, 11}; +Circle(16) = {5, 6, 9}; +Circle(17) = {5, 6, 12}; +Circle(18) = {12, 6, 9}; +Circle(19) = {11, 7, 10}; +Circle(20) = {10, 7, 8}; +Circle(21) = {8, 7, 11}; + +Curve Loop(1) = {16, -18, -17}; +Surface(1) = {1}; +Curve Loop(2) = {19, 20, 21}; +Surface(2) = {2}; +Curve Loop(3) = {14, -19, -15, 18}; +Surface(3) = {3}; +Curve Loop(4) = {5, 16, 14, 20, 6, 7, -13, -1}; +Plane Surface(4) = {-4}; +Curve Loop(5) = {5, 17, 15, -21, 6, -10, -11, 4}; +Plane Surface(5) = {5}; +Curve Loop(6) = {4, 1, 2, 3}; +Plane Surface(6) = {-6}; +Curve Loop(7) = {2, 12, -8, -13}; +Plane Surface(7) = {7}; +Curve Loop(8) = {12, 9, -11, -3}; +Plane Surface(8) = {-8}; +Curve Loop(9) = {9, 10, 7, 8}; +Plane Surface(9) = {9}; + +Surface Loop(1) = {9, 8, 6, 7, 4, 5, 1, 3, 2}; +Volume(1) = {1}; + +Physical Surface("Top", 22) = {9}; +Physical Surface("South", 23) = {4}; +Physical Surface("North", 24) = {8}; +Physical Surface("East", 25) = {7}; +Physical Surface("West", 26) = {5}; +Physical Surface("Bottom", 27) = {6}; +Physical Surface("Cavern", 29) = {3, 1, 2}; +Physical Volume("Salt", 28) = {1}; +Physical Curve("Wall_profile", 30) = {20, 14, 16}; diff --git a/examples/viscoelasticity/parametric/regular.geo:Zone.Identifier b/examples/viscoelasticity/parametric/regular.geo:Zone.Identifier new file mode 100644 index 0000000..a45e1ac --- /dev/null +++ b/examples/viscoelasticity/parametric/regular.geo:Zone.Identifier @@ -0,0 +1,2 @@ +[ZoneTransfer] +ZoneId=3 diff --git a/examples/viscoelasticity/parametric/regular.msh b/examples/viscoelasticity/parametric/regular.msh new file mode 100644 index 0000000..a5dfccd --- /dev/null +++ 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2866 +21101 4 2 28 1 3342 221 686 220 +21102 4 2 28 1 686 221 3342 3694 +21103 4 2 28 1 3333 724 627 651 +21104 4 2 28 1 3076 2894 724 3509 +21105 4 2 28 1 3076 724 2894 3333 +21106 4 2 28 1 627 724 2894 3509 +21107 4 2 28 1 627 2894 724 3333 +21108 4 2 28 1 1129 840 3369 3431 +21109 4 2 28 1 3369 840 1129 843 +21110 4 2 28 1 3369 3520 1129 3431 +21111 4 2 28 1 1129 3520 3369 843 +21112 4 2 28 1 313 3805 327 3913 +21113 4 2 28 1 327 3805 313 326 +21114 4 2 28 1 2782 2800 2586 2642 +21115 4 2 28 1 2782 2586 2800 2921 +$EndElements diff --git a/include/auxkernels/BVVolStrainAux.h b/include/auxkernels/BVVolStrainAux.h new file mode 100644 index 0000000..27482fe --- /dev/null +++ b/include/auxkernels/BVVolStrainAux.h @@ -0,0 +1,28 @@ +/******************************************************************************/ +/* This file is part of */ +/* BEAVER, a MOOSE-based application */ +/* Multiphase Flow Poromechanics for Induced Seismicity Problems */ +/* */ +/* Copyright (C) 2024 by Antoine B. Jacquey */ +/* Polytechnique Montréal */ +/* */ +/* Licensed under GNU Lesser General Public License v2.1 */ +/* please see LICENSE for details */ +/* or http://www.gnu.org/licenses/lgpl.html */ +/******************************************************************************/ + +#pragma once + +#include "BVStrainAuxBase.h" + +class BVVolStrainAux : public BVStrainAuxBase +{ +public: + static InputParameters validParams(); + BVVolStrainAux(const InputParameters & parameters); + +protected: + virtual Real computeValue(); + + const VariableValue & _u_old; +}; \ No newline at end of file diff --git a/include/auxkernels/BVVolStrainRateAux.h b/include/auxkernels/BVVolStrainRateAux.h new file mode 100644 index 0000000..55cb7a9 --- /dev/null +++ b/include/auxkernels/BVVolStrainRateAux.h @@ -0,0 +1,26 @@ +/******************************************************************************/ +/* This file is part of */ +/* BEAVER, a MOOSE-based application */ +/* Multiphase Flow Poromechanics for Induced Seismicity Problems */ +/* */ +/* Copyright (C) 2024 by Antoine B. Jacquey */ +/* Polytechnique Montréal */ +/* */ +/* Licensed under GNU Lesser General Public License v2.1 */ +/* please see LICENSE for details */ +/* or http://www.gnu.org/licenses/lgpl.html */ +/******************************************************************************/ + +#pragma once + +#include "BVStrainAuxBase.h" + +class BVVolStrainRateAux : public BVStrainAuxBase +{ +public: + static InputParameters validParams(); + BVVolStrainRateAux(const InputParameters & parameters); + +protected: + virtual Real computeValue(); +}; \ No newline at end of file diff --git a/include/kernels/BVStressDivergence.h b/include/kernels/BVStressDivergence.h index b9363c0..638065f 100644 --- a/include/kernels/BVStressDivergence.h +++ b/include/kernels/BVStressDivergence.h @@ -25,7 +25,7 @@ class BVStressDivergence : public ADKernel virtual ADReal computeQpResidual() override; const bool _coupled_pf; - const VariableValue & _pf; + const ADVariableValue & _pf; const unsigned int _component; // const Real _rho; // const RealVectorValue _gravity; diff --git a/include/materials/BVDeviatoricVolumetricUpdateBase.h b/include/materials/BVDeviatoricVolumetricUpdateBase.h new file mode 100644 index 0000000..b231501 --- /dev/null +++ b/include/materials/BVDeviatoricVolumetricUpdateBase.h @@ -0,0 +1,34 @@ +/******************************************************************************/ +/* This file is part of */ +/* BEAVER, a MOOSE-based application */ +/* Multiphase Flow Poromechanics for Induced Seismicity Problems */ +/* */ +/* Copyright (C) 2024 by Antoine B. Jacquey */ +/* Polytechnique Montréal */ +/* */ +/* Licensed under GNU Lesser General Public License v2.1 */ +/* please see LICENSE for details */ +/* or http://www.gnu.org/licenses/lgpl.html */ +/******************************************************************************/ + +#pragma once + +#include "BVTwoCreepUpdateBase.h" + +class BVDeviatoricVolumetricUpdateBase : public BVTwoCreepUpdateBase +{ +public: + static InputParameters validParams(); + BVDeviatoricVolumetricUpdateBase(const InputParameters & parameters); + +protected: + virtual std::vector returnMap() override; + virtual void preReturnMapVol(const std::vector & creep_strain_incr); + virtual ADReal residualVol(const ADReal & vol_strain_incr); + virtual ADReal jacobianVol(const ADReal & vol_strain_incr); + virtual ADReal creepRateVol(const ADReal & vol_strain_incr); + virtual ADReal creepRateVolDerivative(const ADReal & vol_strain_incr); + virtual ADRankTwoTensor reformPlasticStrainTensor(const std::vector & creep_strain_incr) override; + + bool _volumetric; +}; \ No newline at end of file diff --git a/include/materials/BVRTL2020ModelUpdate.h b/include/materials/BVRTL2020ModelUpdate.h index 93f134d..0b1cf9a 100644 --- a/include/materials/BVRTL2020ModelUpdate.h +++ b/include/materials/BVRTL2020ModelUpdate.h @@ -13,9 +13,9 @@ #pragma once -#include "BVTwoCreepUpdateBase.h" +#include "BVDeviatoricVolumetricUpdateBase.h" -class BVRTL2020ModelUpdate : public BVTwoCreepUpdateBase +class BVRTL2020ModelUpdate : public BVDeviatoricVolumetricUpdateBase { public: static InputParameters validParams(); @@ -23,23 +23,33 @@ class BVRTL2020ModelUpdate : public BVTwoCreepUpdateBase protected: virtual void initQpStatefulProperties() override; - virtual ADReal creepRate(const std::vector & eqv_strain_incr, + virtual ADReal creepRate(const std::vector & creep_strain_incr, const unsigned int i) override; - virtual ADReal creepRateR(const std::vector & eqv_strain_incr); - virtual ADReal creepRateLemaitre(const std::vector & eqv_strain_incr); - virtual ADReal creepRateMunsonDawson(const std::vector & eqv_strain_incr); - virtual ADReal creepRateDerivative(const std::vector & eqv_strain_incr, + virtual ADReal creepRateR(const std::vector & creep_strain_incr); + virtual ADReal creepRateLemaitre(const std::vector & creep_strain_incr); + virtual ADReal creepRateMunsonDawson(const std::vector & creep_strain_incr); + virtual ADReal creepRateDerivative(const std::vector & creep_strain_incr, const unsigned int i, const unsigned int j) override; - virtual ADReal creepRateRDerivative(const std::vector & eqv_strain_incr); - virtual ADReal creepRateLemaitreDerivative(const std::vector & eqv_strain_incr, + virtual ADReal creepRateRDerivative(const std::vector & creep_strain_incr); + virtual ADReal creepRateLemaitreDerivative(const std::vector & creep_strain_incr, const unsigned int /*j*/); - virtual ADReal creepRateMunsonDawsonDerivative(const std::vector & eqv_strain_incr, + virtual ADReal creepRateMunsonDawsonDerivative(const std::vector & creep_strain_incr, const unsigned int j); - virtual ADReal lemaitreCreepStrain(const std::vector & eqv_strain_incr); - virtual ADReal munsondawsonCreepStrain(const std::vector & eqv_strain_incr); + virtual ADReal lemaitreCreepStrain(const std::vector & creep_strain_incr); + virtual ADReal munsondawsonCreepStrain(const std::vector & creep_strain_incr); + virtual ADReal volumetricCreepStrain(const std::vector & v_creep_strain_incr); virtual void preReturnMap() override; - virtual void postReturnMap(const std::vector & eqv_strain_incr) override; + virtual void postReturnMap(const std::vector & creep_strain_incr) override; + virtual void preReturnMapVol(const std::vector & creep_strain_incr) override; + virtual ADReal creepRateVol(const ADReal & vol_strain_incr) override; + virtual ADReal creepRateVolDerivative(const ADReal & vol_strain_incr) override; + + // Temperature coupling + const ADVariableValue * const _temp; + const Real _temp_ref; + const Real _Ar; + ADReal _exponential; // Lemaitre creep strain rate parameters const Real _alpha; @@ -54,9 +64,24 @@ class BVRTL2020ModelUpdate : public BVTwoCreepUpdateBase const Real _m; const Real _n; + // Volumetric creep strain rate parameters + const Real _z; + const Real _Nz; + const Real _nz; + const Real _Mz; + const Real _mz; + // Internal variable for Lemaitre and Munson-Dawson creep strain ADMaterialProperty & _eqv_creep_strain_L; const MaterialProperty & _eqv_creep_strain_L_old; ADMaterialProperty & _eqv_creep_strain_R; const MaterialProperty & _eqv_creep_strain_R_old; + + // Internal variable for volumetric creep strain + ADMaterialProperty & _vol_creep_strain; + const MaterialProperty & _vol_creep_strain_old; + + // Scalar equivalent creep strain + ADReal _gamma_vp; + ADReal _gamma_dot_vp; }; diff --git a/include/materials/BVTwoCreepUpdateBase.h b/include/materials/BVTwoCreepUpdateBase.h index cdd7722..eba7a7e 100644 --- a/include/materials/BVTwoCreepUpdateBase.h +++ b/include/materials/BVTwoCreepUpdateBase.h @@ -41,9 +41,6 @@ class BVTwoCreepUpdateBase : public BVInelasticUpdateBase // Name used as a prefix for all material properties related to this creep model const std::string _base_name; - // Number of creep models - const unsigned int _num_cm; - // Creep strain increment ADMaterialProperty & _creep_strain_incr; diff --git a/moose b/moose index 777fc2f..23f8c67 160000 --- a/moose +++ b/moose @@ -1 +1 @@ -Subproject commit 777fc2f5235de934d5f2ada3f5ec2a16990d7d7f +Subproject commit 23f8c673f0797ee707e40f973fe28f7b2c49673e diff --git a/src/auxkernels/BVVolStrainAux.C b/src/auxkernels/BVVolStrainAux.C new file mode 100644 index 0000000..ed44b5b --- /dev/null +++ b/src/auxkernels/BVVolStrainAux.C @@ -0,0 +1,35 @@ +/******************************************************************************/ +/* This file is part of */ +/* BEAVER, a MOOSE-based application */ +/* Multiphase Flow Poromechanics for Induced Seismicity Problems */ +/* */ +/* Copyright (C) 2024 by Antoine B. Jacquey */ +/* Polytechnique Montréal */ +/* */ +/* Licensed under GNU Lesser General Public License v2.1 */ +/* please see LICENSE for details */ +/* or http://www.gnu.org/licenses/lgpl.html */ +/******************************************************************************/ + +#include "BVVolStrainAux.h" + +registerMooseObject("BeaverApp", BVVolStrainAux); + +InputParameters +BVVolStrainAux::validParams() +{ + InputParameters params = BVStrainAuxBase::validParams(); + params.addClassDescription("Class for outputting the volumetric strain."); + return params; +} + +BVVolStrainAux::BVVolStrainAux(const InputParameters & parameters) + : BVStrainAuxBase(parameters), _u_old(uOld()) +{ +} + +Real +BVVolStrainAux::computeValue() +{ + return _u_old[_qp] + MetaPhysicL::raw_value(_strain_increment[_qp].trace()); +} \ No newline at end of file diff --git a/src/auxkernels/BVVolStrainRateAux.C b/src/auxkernels/BVVolStrainRateAux.C new file mode 100644 index 0000000..15b7dfe --- /dev/null +++ b/src/auxkernels/BVVolStrainRateAux.C @@ -0,0 +1,35 @@ +/******************************************************************************/ +/* This file is part of */ +/* BEAVER, a MOOSE-based application */ +/* Multiphase Flow Poromechanics for Induced Seismicity Problems */ +/* */ +/* Copyright (C) 2024 by Antoine B. Jacquey */ +/* Polytechnique Montréal */ +/* */ +/* Licensed under GNU Lesser General Public License v2.1 */ +/* please see LICENSE for details */ +/* or http://www.gnu.org/licenses/lgpl.html */ +/******************************************************************************/ + +#include "BVVolStrainRateAux.h" + +registerMooseObject("BeaverApp", BVVolStrainRateAux); + +InputParameters +BVVolStrainRateAux::validParams() +{ + InputParameters params = BVStrainAuxBase::validParams(); + params.addClassDescription("Class for outputting the volumetric strain rate."); + return params; +} + +BVVolStrainRateAux::BVVolStrainRateAux(const InputParameters & parameters) + : BVStrainAuxBase(parameters) +{ +} + +Real +BVVolStrainRateAux::computeValue() +{ + return MetaPhysicL::raw_value(_strain_increment[_qp].trace()) / _dt; +} \ No newline at end of file diff --git a/src/fvkernels/BVFVMultiPhasePressureDarcy.C b/src/fvkernels/BVFVMultiPhasePressureDarcy.C index 1520274..eb18ffb 100644 --- a/src/fvkernels/BVFVMultiPhasePressureDarcy.C +++ b/src/fvkernels/BVFVMultiPhasePressureDarcy.C @@ -30,9 +30,9 @@ BVFVMultiPhasePressureDarcy::BVFVMultiPhasePressureDarcy(const InputParameters & _lambda(getADMaterialProperty("fluid_mobility")), _lambda_neighbor(getNeighborADMaterialProperty("fluid_mobility")) { - if ((_var.faceInterpolationMethod() == Moose::FV::InterpMethod::SkewCorrectedAverage) && - (_tid == 0)) - adjustRMGhostLayers(std::max((unsigned short)(3), _pars.get("ghost_layers"))); + // if ((_var.faceInterpolationMethod() == Moose::FV::InterpMethod::SkewCorrectedAverage) && + // (_tid == 0)) + // adjustRMGhostLayers(std::max((unsigned short)(3), _pars.get("ghost_layers"))); } ADReal diff --git a/src/fvkernels/BVFVMultiPhaseSaturationDarcy.C b/src/fvkernels/BVFVMultiPhaseSaturationDarcy.C index d5a4d56..48e5f95 100644 --- a/src/fvkernels/BVFVMultiPhaseSaturationDarcy.C +++ b/src/fvkernels/BVFVMultiPhaseSaturationDarcy.C @@ -40,9 +40,9 @@ BVFVMultiPhaseSaturationDarcy::BVFVMultiPhaseSaturationDarcy(const InputParamete _D(getADMaterialProperty("diffusivity_saturation")), _D_neighbor(getNeighborADMaterialProperty("diffusivity_saturation")) { - if ((_var.faceInterpolationMethod() == Moose::FV::InterpMethod::SkewCorrectedAverage) && - (_tid == 0)) - adjustRMGhostLayers(std::max((unsigned short)(3), _pars.get("ghost_layers"))); + // if ((_var.faceInterpolationMethod() == Moose::FV::InterpMethod::SkewCorrectedAverage) && + // (_tid == 0)) + // adjustRMGhostLayers(std::max((unsigned short)(3), _pars.get("ghost_layers"))); } ADReal diff --git a/src/fvkernels/BVFVSinglePhaseDarcy.C b/src/fvkernels/BVFVSinglePhaseDarcy.C index 7463836..a8793dc 100644 --- a/src/fvkernels/BVFVSinglePhaseDarcy.C +++ b/src/fvkernels/BVFVSinglePhaseDarcy.C @@ -30,9 +30,9 @@ BVFVSinglePhaseDarcy::BVFVSinglePhaseDarcy(const InputParameters & parameters) _lambda(getADMaterialProperty("fluid_mobility")), _lambda_neighbor(getNeighborADMaterialProperty("fluid_mobility")) { - if ((_var.faceInterpolationMethod() == Moose::FV::InterpMethod::SkewCorrectedAverage) && - (_tid == 0)) - adjustRMGhostLayers(std::max((unsigned short)(3), _pars.get("ghost_layers"))); + // if ((_var.faceInterpolationMethod() == Moose::FV::InterpMethod::SkewCorrectedAverage) && + // (_tid == 0)) + // adjustRMGhostLayers(std::max((unsigned short)(3), _pars.get("ghost_layers"))); } ADReal diff --git a/src/kernels/BVStressDivergence.C b/src/kernels/BVStressDivergence.C index 8f7367f..6747f64 100644 --- a/src/kernels/BVStressDivergence.C +++ b/src/kernels/BVStressDivergence.C @@ -36,7 +36,7 @@ BVStressDivergence::validParams() BVStressDivergence::BVStressDivergence(const InputParameters & parameters) : ADKernel(parameters), _coupled_pf(isCoupled("fluid_pressure")), - _pf(coupledValue("fluid_pressure")), + _pf(adCoupledValue("fluid_pressure")), _component(getParam("component")), // _rho(getParam("density")), // _gravity(getParam("gravity")), diff --git a/src/materials/BVCreepUpdateBase.C b/src/materials/BVCreepUpdateBase.C index e4abfa3..a370a18 100644 --- a/src/materials/BVCreepUpdateBase.C +++ b/src/materials/BVCreepUpdateBase.C @@ -109,7 +109,7 @@ BVCreepUpdateBase::reformPlasticStrainTensor(const ADReal & eqv_strain_incr) ADRankTwoTensor flow_dir = (_eqv_stress_tr != 0.0) ? _stress_tr.deviatoric() / _eqv_stress_tr : ADRankTwoTensor(); - return 1.5 * creepRate(eqv_strain_incr) * _dt * flow_dir; + return 1.5 * eqv_strain_incr * flow_dir; } void diff --git a/src/materials/BVDeviatoricVolumetricUpdateBase.C b/src/materials/BVDeviatoricVolumetricUpdateBase.C new file mode 100644 index 0000000..169ee6b --- /dev/null +++ b/src/materials/BVDeviatoricVolumetricUpdateBase.C @@ -0,0 +1,119 @@ +/******************************************************************************/ +/* This file is part of */ +/* BEAVER, a MOOSE-based application */ +/* Multiphase Flow Poromechanics for Induced Seismicity Problems */ +/* */ +/* Copyright (C) 2024 by Antoine B. Jacquey */ +/* Polytechnique Montréal */ +/* */ +/* Licensed under GNU Lesser General Public License v2.1 */ +/* please see LICENSE for details */ +/* or http://www.gnu.org/licenses/lgpl.html */ +/******************************************************************************/ + +#include "BVDeviatoricVolumetricUpdateBase.h" +#include "BVElasticityTensorTools.h" + +InputParameters +BVDeviatoricVolumetricUpdateBase::validParams() +{ + InputParameters params = BVTwoCreepUpdateBase::validParams(); + params.addClassDescription("Base material for computing multiple creep stress" + "updates with Two flow directions (or rules). This class inherits " + "from BVTwoCreepUpdateBase."); + params.addParam("volumetric", false, "Whether to perform a volumetric correction."); + return params; +} + +BVDeviatoricVolumetricUpdateBase::BVDeviatoricVolumetricUpdateBase( + const InputParameters & parameters) + : BVTwoCreepUpdateBase(parameters), _volumetric(parameters.get("volumetric")) +{ +} + +std::vector +BVDeviatoricVolumetricUpdateBase::returnMap() +{ + // Deviatoric update + std::vector creep_strain_incr = BVTwoCreepUpdateBase::returnMap(); + + // Volumetric update + if (_volumetric) + { + preReturnMapVol(creep_strain_incr); + + // Initialize volumetric strain incr + ADReal vol_strain_incr = 0.0; + + // Initial residual + ADReal res_ini = residualVol(vol_strain_incr); + + ADReal res = res_ini; + ADReal jac = jacobianVol(vol_strain_incr); + + // Newton loop + for (unsigned int iter = 0; iter < _max_its; ++iter) + { + vol_strain_incr -= res / jac; + + res = residualVol(vol_strain_incr); + jac = jacobianVol(vol_strain_incr); + + // Convergence check + if ((std::abs(res) <= _abs_tol) || (std::abs(res / res_ini) <= _rel_tol)) + { + creep_strain_incr.resize(3); + creep_strain_incr[2] = vol_strain_incr; + return creep_strain_incr; + } + } + throw MooseException("BVDeviatoricVolumetricUpdateBase: maximum number of iterations exceeded " + "in volumetric 'returnMap'!"); + } + else + { + return creep_strain_incr; + } +} + +void +BVDeviatoricVolumetricUpdateBase::preReturnMapVol(const std::vector & creep_strain_incr) +{ +} + +ADReal +BVDeviatoricVolumetricUpdateBase::residualVol(const ADReal & vol_strain_incr) +{ + return creepRateVol(vol_strain_incr) * _dt - vol_strain_incr; +} + +ADReal +BVDeviatoricVolumetricUpdateBase::jacobianVol(const ADReal & vol_strain_incr) +{ + return creepRateVolDerivative(vol_strain_incr) * _dt - 1.0; +} + +ADReal +BVDeviatoricVolumetricUpdateBase::creepRateVol(const ADReal & vol_strain_incr) +{ + return 0.0; +} + +ADReal +BVDeviatoricVolumetricUpdateBase::creepRateVolDerivative(const ADReal & vol_strain_incr) +{ + return 0.0; +} + +ADRankTwoTensor +BVDeviatoricVolumetricUpdateBase::reformPlasticStrainTensor( + const std::vector & creep_strain_incr) +{ + ADRankTwoTensor res = BVTwoCreepUpdateBase::reformPlasticStrainTensor(creep_strain_incr); + + // Volumetric part + if (_volumetric) + res.addIa(-creep_strain_incr[2] / 3.0); + + return res; +} diff --git a/src/materials/BVRTL2020ModelUpdate.C b/src/materials/BVRTL2020ModelUpdate.C index 970efd4..3079284 100644 --- a/src/materials/BVRTL2020ModelUpdate.C +++ b/src/materials/BVRTL2020ModelUpdate.C @@ -18,12 +18,17 @@ registerMooseObject("BeaverApp", BVRTL2020ModelUpdate); InputParameters BVRTL2020ModelUpdate::validParams() { - InputParameters params = BVTwoCreepUpdateBase::validParams(); + InputParameters params = BVDeviatoricVolumetricUpdateBase::validParams(); params.addClassDescription( "Material for computing a RTL2020 creep update. See Azabou et al. (2021), Rock salt " "behavior: From laboratory experiments to pertinent long-term predictions."); + // Temperature coupling + params.addCoupledVar("temperature", "The temperature variable in Kelvin."); + params.addRangeCheckedParam("Tr", 289.0, "Tr > 0.0", "The reference temperature in Kelvin."); + params.addRangeCheckedParam("Ar", 0.0, "Ar >= 0.0", "The activation temperature in Kelvin."); // Lemaitre creep strain rate parameters - params.addRequiredRangeCheckedParam("alpha", "0.0 < alpha & alpha < 1.0", "The alpha parameter."); + params.addRequiredRangeCheckedParam( + "alpha", "0.0 < alpha & alpha < 1.0", "The alpha parameter."); params.addRequiredRangeCheckedParam("A2", "A2 > 0.0", "The A2 parameter."); params.addRequiredRangeCheckedParam("n2", "n2 > 0.0", "The n2 parameter."); // Munson-Dawson creep strain rate parameters @@ -33,11 +38,22 @@ BVRTL2020ModelUpdate::validParams() params.addRequiredRangeCheckedParam("B", "B >= 0.0", "The B parameter."); params.addRequiredRangeCheckedParam("m", "m > 1.0", "The m parameter."); params.addRequiredRangeCheckedParam("n", "n > 1.0", "The n parameter."); + // volume creep parameters + params.addParam("z", 0.0, "volumetric creep parameter z"); + params.addParam("Nz", 1.0, "volumetric creep parameter Nz"); + params.addParam("nz", 1.0, "volumetric creep parameter nz"); + params.addParam("Mz", 1.0, "volumetric creep parameter Mz"); + params.addParam("mz", 1.0, "volumetric creep parameter mz"); return params; } BVRTL2020ModelUpdate::BVRTL2020ModelUpdate(const InputParameters & parameters) - : BVTwoCreepUpdateBase(parameters), + : BVDeviatoricVolumetricUpdateBase(parameters), + // Temperature coupling + _temp(isParamValid("temperature") ? &adCoupledValue("temperature") : nullptr), + _temp_ref(getParam("Tr")), + _Ar(getParam("Ar")), + _exponential(1.0), // Lemaitre creep strain rate parameters _alpha(getParam("alpha")), _A2(getParam("A2")), @@ -49,12 +65,27 @@ BVRTL2020ModelUpdate::BVRTL2020ModelUpdate(const InputParameters & parameters) _B(getParam("B")), _m(getParam("m")), _n(getParam("n")), + // Volumetric creep strain rate parameters + _z(getParam("z")), + _Nz(getParam("Nz")), + _nz(getParam("nz")), + _Mz(getParam("Mz")), + _mz(getParam("mz")), // Internal variable for Lemaitre and Munson-Dawson creep strain _eqv_creep_strain_L(declareADProperty(_base_name + "eqv_creep_strain_L")), _eqv_creep_strain_L_old(getMaterialPropertyOld(_base_name + "eqv_creep_strain_L")), _eqv_creep_strain_R(declareADProperty(_base_name + "eqv_creep_strain_R")), - _eqv_creep_strain_R_old(getMaterialPropertyOld(_base_name + "eqv_creep_strain_R")) + _eqv_creep_strain_R_old(getMaterialPropertyOld(_base_name + "eqv_creep_strain_R")), + // Internal variable for volumetric creep strain + _vol_creep_strain(declareADProperty(_base_name + "_vol_creep_strain")), + _vol_creep_strain_old(getMaterialPropertyOld(_base_name + "_vol_creep_strain")) { + // Check temperature coupling + if (_temp && !isParamSetByUser("Ar")) + paramWarning("Ar", "Coupled temperature is set but Ar is not. Temperature coupling is not set properly!"); + + if (isParamSetByUser("Ar") && !_temp) + paramWarning("temperature", "Ar is set but coupled temperature is not. Temperature coupling is not set properly!"); } void @@ -62,101 +93,113 @@ BVRTL2020ModelUpdate::initQpStatefulProperties() { _eqv_creep_strain_L[_qp] = 0.0; _eqv_creep_strain_R[_qp] = 0.0; + _vol_creep_strain[_qp] = 0.0; } ADReal -BVRTL2020ModelUpdate::creepRate(const std::vector & eqv_strain_incr, const unsigned int i) +BVRTL2020ModelUpdate::creepRate(const std::vector & creep_strain_incr, const unsigned int i) { if (i == 0) // Lemaitre - return creepRateLemaitre(eqv_strain_incr); + return creepRateLemaitre(creep_strain_incr); else if (i == 1) // Munson-Dawson - return creepRateMunsonDawson(eqv_strain_incr); + return creepRateMunsonDawson(creep_strain_incr); else throw MooseException("BVRTL2020ModelUpdate: error, unknow creep model called in `creepRate`!"); } ADReal -BVRTL2020ModelUpdate::creepRateR(const std::vector & eqv_strain_incr) +BVRTL2020ModelUpdate::creepRateR(const std::vector & creep_strain_incr) { - ADReal q = _eqv_stress_tr - 3.0 * _G * (eqv_strain_incr[0] + eqv_strain_incr[1]); + ADReal q = _eqv_stress_tr - 3.0 * _G * (creep_strain_incr[0] + creep_strain_incr[1]); if (q == 0.0) return 0.0; else - return 1.0e-06 * std::pow(q / _A2, _n2); + { + if (_temp) + _exponential = std::exp(_Ar * (1.0 / _temp_ref - 1.0 / (*_temp)[_qp])); + + return 1.0e-06 * _exponential * + std::pow((q / _A2 >= 0.0 ? q / _A2 : 0.0), + _n2); // macaulay brackets to guide against negative values + } } ADReal -BVRTL2020ModelUpdate::creepRateLemaitre(const std::vector & eqv_strain_incr) +BVRTL2020ModelUpdate::creepRateLemaitre(const std::vector & creep_strain_incr) { - ADReal gamma_l = 1.0e+06 * lemaitreCreepStrain(eqv_strain_incr); + ADReal gamma_l = 1.0e+06 * lemaitreCreepStrain(creep_strain_incr); if (gamma_l == 0.0) - return _alpha * creepRateR(eqv_strain_incr); + return _alpha * creepRateR(creep_strain_incr); else - return _alpha * creepRateR(eqv_strain_incr) * std::pow(gamma_l, 1.0 - 1.0 / _alpha); + return _alpha * creepRateR(creep_strain_incr) * std::pow(gamma_l, 1.0 - 1.0 / _alpha); } ADReal -BVRTL2020ModelUpdate::creepRateMunsonDawson(const std::vector & eqv_strain_incr) +BVRTL2020ModelUpdate::creepRateMunsonDawson(const std::vector & creep_strain_incr) { - ADReal q = _eqv_stress_tr - 3.0 * _G * (eqv_strain_incr[0] + eqv_strain_incr[1]); + ADReal q = _eqv_stress_tr - 3.0 * _G * (creep_strain_incr[0] + creep_strain_incr[1]); ADReal saturation_strain = (q != 0.0) ? std::pow(q / _A1, _n1) : 1.0e+06; - ADReal gamma_ms = 1.0e+06 * munsondawsonCreepStrain(eqv_strain_incr); + ADReal gamma_ms = 1.0e+06 * munsondawsonCreepStrain(creep_strain_incr); if (gamma_ms < saturation_strain) - return _A * std::pow(1.0 - gamma_ms / saturation_strain, _n) * - creepRateR(eqv_strain_incr); + return _A * std::pow(1.0 - gamma_ms / saturation_strain, _n) * creepRateR(creep_strain_incr); else - return -_B * std::pow(gamma_ms / saturation_strain - 1.0, _m) * - creepRateR(eqv_strain_incr); + return -_B * std::pow(gamma_ms / saturation_strain - 1.0, _m) * creepRateR(creep_strain_incr); } ADReal -BVRTL2020ModelUpdate::creepRateDerivative(const std::vector & eqv_strain_incr, +BVRTL2020ModelUpdate::creepRateDerivative(const std::vector & creep_strain_incr, const unsigned int i, const unsigned int j) { if (i == 0) // Lemaitre - return creepRateLemaitreDerivative(eqv_strain_incr, j); + return creepRateLemaitreDerivative(creep_strain_incr, j); else if (i == 1) // Munson-Dawson - return creepRateMunsonDawsonDerivative(eqv_strain_incr, j); + return creepRateMunsonDawsonDerivative(creep_strain_incr, j); else throw MooseException( "BVRTL2020ModelUpdate: error, unknow creep model called in `creepRateDerivative`!"); } ADReal -BVRTL2020ModelUpdate::creepRateRDerivative(const std::vector & eqv_strain_incr) +BVRTL2020ModelUpdate::creepRateRDerivative(const std::vector & creep_strain_incr) { - ADReal q = _eqv_stress_tr - 3.0 * _G * (eqv_strain_incr[0] + eqv_strain_incr[1]); + ADReal q = _eqv_stress_tr - 3.0 * _G * (creep_strain_incr[0] + creep_strain_incr[1]); if (q == 0.0) return 1.0; else - return -1.0e-06 * 3.0 * _G * _n2 / _A2 * std::pow(q / _A2, _n2 - 1.0); + { + if (_temp) + _exponential = std::exp(_Ar * (1.0 / _temp_ref - 1.0 / (*_temp)[_qp])); + + return -1.0e-06 * _exponential * 3.0 * _G * _n2 / _A2 * std::pow(q / _A2, _n2 - 1.0); + } } ADReal -BVRTL2020ModelUpdate::creepRateLemaitreDerivative(const std::vector & eqv_strain_incr, +BVRTL2020ModelUpdate::creepRateLemaitreDerivative(const std::vector & creep_strain_incr, const unsigned int j) { - ADReal gamma_l = 1.0e+06 * lemaitreCreepStrain(eqv_strain_incr); + ADReal gamma_l = 1.0e+06 * lemaitreCreepStrain(creep_strain_incr); if (j == 0) // Lemaitre wrt Lemaitre if (gamma_l == 0.0) - return _alpha * creepRateRDerivative(eqv_strain_incr); + return _alpha * creepRateRDerivative(creep_strain_incr); else return std::pow(gamma_l, -1.0 / _alpha) * - (_alpha * gamma_l * creepRateRDerivative(eqv_strain_incr) + - 1.0e+06 * (_alpha - 1.0) * creepRateR(eqv_strain_incr)); + (_alpha * gamma_l * creepRateRDerivative(creep_strain_incr) + + 1.0e+06 * (_alpha - 1.0) * creepRateR(creep_strain_incr)); else if (j == 1) // Lemaitre wrt Munson-Dawson if (gamma_l == 0.0) - return _alpha * creepRateRDerivative(eqv_strain_incr); + return _alpha * creepRateRDerivative(creep_strain_incr); else - return _alpha * creepRateRDerivative(eqv_strain_incr) * std::pow(gamma_l, 1.0 - 1.0 / _alpha); + return _alpha * creepRateRDerivative(creep_strain_incr) * + std::pow(gamma_l, 1.0 - 1.0 / _alpha); else throw MooseException( @@ -164,47 +207,53 @@ BVRTL2020ModelUpdate::creepRateLemaitreDerivative(const std::vector & eq } ADReal -BVRTL2020ModelUpdate::creepRateMunsonDawsonDerivative(const std::vector & eqv_strain_incr, +BVRTL2020ModelUpdate::creepRateMunsonDawsonDerivative(const std::vector & creep_strain_incr, const unsigned int j) { - ADReal q = _eqv_stress_tr - 3.0 * _G * (eqv_strain_incr[0] + eqv_strain_incr[1]); + ADReal q = _eqv_stress_tr - 3.0 * _G * (creep_strain_incr[0] + creep_strain_incr[1]); ADReal saturation_strain = (q != 0.0) ? std::pow(q / _A1, _n1) : 1.0e+06; - ADReal gamma_ms = 1.0e+06 * munsondawsonCreepStrain(eqv_strain_incr); + ADReal gamma_ms = 1.0e+06 * munsondawsonCreepStrain(creep_strain_incr); if (j == 0) // Munson-Dawson wrt Lemaitre if (gamma_ms < saturation_strain) return _A * std::pow(1.0 - gamma_ms / saturation_strain, _n) * - creepRateRDerivative(eqv_strain_incr); + creepRateRDerivative(creep_strain_incr); else return -_B * std::pow(gamma_ms / saturation_strain - 1.0, _m) * - creepRateRDerivative(eqv_strain_incr); - + creepRateRDerivative(creep_strain_incr); + else if (j == 1) // Munson-Dawson wrt Munson-Dawson if (gamma_ms < saturation_strain) return _A * std::pow(1.0 - gamma_ms / saturation_strain, _n - 1.0) * - ((1.0 - gamma_ms / saturation_strain) * creepRateRDerivative(eqv_strain_incr) - - 1.0e+06 * _n / saturation_strain * creepRateR(eqv_strain_incr)); + ((1.0 - gamma_ms / saturation_strain) * creepRateRDerivative(creep_strain_incr) - + 1.0e+06 * _n / saturation_strain * creepRateR(creep_strain_incr)); else return -_B * std::pow(gamma_ms / saturation_strain - 1.0, _m - 1.0) * - ((gamma_ms / saturation_strain - 1.0) * creepRateRDerivative(eqv_strain_incr) + - 1.0e+06 * _m / saturation_strain * creepRateR(eqv_strain_incr)); - + ((gamma_ms / saturation_strain - 1.0) * creepRateRDerivative(creep_strain_incr) + + 1.0e+06 * _m / saturation_strain * creepRateR(creep_strain_incr)); + else throw MooseException( "BVRTL2020ModelUpdate: error, unknow creep model called in `creepRateDerivative`!"); } ADReal -BVRTL2020ModelUpdate::lemaitreCreepStrain(const std::vector & eqv_strain_incr) +BVRTL2020ModelUpdate::lemaitreCreepStrain(const std::vector & creep_strain_incr) +{ + return _eqv_creep_strain_L_old[_qp] + creep_strain_incr[0]; +} + +ADReal +BVRTL2020ModelUpdate::munsondawsonCreepStrain(const std::vector & creep_strain_incr) { - return _eqv_creep_strain_L_old[_qp] + eqv_strain_incr[0]; + return _eqv_creep_strain_R_old[_qp] + creep_strain_incr[1]; } ADReal -BVRTL2020ModelUpdate::munsondawsonCreepStrain(const std::vector & eqv_strain_incr) +BVRTL2020ModelUpdate::volumetricCreepStrain(const std::vector & creep_strain_incr) { - return _eqv_creep_strain_R_old[_qp] + eqv_strain_incr[1]; + return _vol_creep_strain_old[_qp] + creep_strain_incr[2]; } void @@ -212,11 +261,47 @@ BVRTL2020ModelUpdate::preReturnMap() { _eqv_creep_strain_L[_qp] = _eqv_creep_strain_L_old[_qp]; _eqv_creep_strain_R[_qp] = _eqv_creep_strain_R_old[_qp]; + _vol_creep_strain[_qp] = _vol_creep_strain_old[_qp]; +} + +void +BVRTL2020ModelUpdate::postReturnMap(const std::vector & creep_strain_incr) +{ + _eqv_creep_strain_L[_qp] = lemaitreCreepStrain(creep_strain_incr); + _eqv_creep_strain_R[_qp] = munsondawsonCreepStrain(creep_strain_incr); + // _vol_creep_strain[_qp] = volumetricCreepStrain(creep_strain_incr); } void -BVRTL2020ModelUpdate::postReturnMap(const std::vector & eqv_strain_incr) +BVRTL2020ModelUpdate::preReturnMapVol(const std::vector & creep_strain_incr) { - _eqv_creep_strain_L[_qp] = lemaitreCreepStrain(eqv_strain_incr); - _eqv_creep_strain_R[_qp] = munsondawsonCreepStrain(eqv_strain_incr); -} \ No newline at end of file + // Save some information from the deviatoric update + _gamma_vp = 1.0e+06 * (_eqv_creep_strain_L[_qp] + _eqv_creep_strain_R[_qp]); + _gamma_dot_vp = (creep_strain_incr[0] + creep_strain_incr[1]) / _dt; +} + +ADReal +BVRTL2020ModelUpdate::creepRateVol(const ADReal & vol_strain_incr) +{ + ADReal p = _avg_stress_tr - _K * vol_strain_incr; + if (p == 0.0) + return 0.0; // No contribution since p is zero + else + return _z * (std::pow(std::abs(p / _Nz), _nz) - _gamma_vp) / + (std::pow(std::abs(p / _Mz), _mz) + _gamma_vp) * _gamma_dot_vp; +} + +ADReal +BVRTL2020ModelUpdate::creepRateVolDerivative(const ADReal & vol_strain_incr) +{ + ADReal p = _avg_stress_tr - _K * vol_strain_incr; + if (p == 0.0) + return 1.0; // No contribution since p is zero + else + return -_K * _z * p / std::abs(p) * + (_nz * std::pow(std::abs(p / _Nz), _nz - 1.0) * + (std::pow(std::abs(p / _Mz), _mz) + _gamma_vp) - + _mz * std::pow(std::abs(p / _Mz), _mz - 1.0) * + (std::pow(std::abs(p / _Nz), _nz) - _gamma_vp)) / + std::pow(std::pow(std::abs(p / _Mz), _mz) + _gamma_vp, 2.0) * _gamma_dot_vp; +} diff --git a/src/materials/BVTwoCreepUpdateBase.C b/src/materials/BVTwoCreepUpdateBase.C index e5691ce..a512a8f 100644 --- a/src/materials/BVTwoCreepUpdateBase.C +++ b/src/materials/BVTwoCreepUpdateBase.C @@ -30,7 +30,6 @@ BVTwoCreepUpdateBase::validParams() BVTwoCreepUpdateBase::BVTwoCreepUpdateBase(const InputParameters & parameters) : BVInelasticUpdateBase(parameters), _base_name(isParamValid("base_name") ? getParam("base_name") + "_" : ""), - _num_cm(2), _creep_strain_incr(declareADProperty(_base_name + "creep_strain_increment")) { } @@ -50,7 +49,7 @@ BVTwoCreepUpdateBase::inelasticUpdate(ADRankTwoTensor & stress, const RankFourTe _stress_tr = stress; // Trial effective stress _eqv_stress_tr = std::sqrt(1.5) * _stress_tr.deviatoric().L2norm(); - _avg_stress_tr = _stress_tr.trace(); + _avg_stress_tr = -_stress_tr.trace() / 3.0; // Shear and bulk modulus _G = BVElasticityTensorTools::getIsotropicShearModulus(Cijkl); _K = BVElasticityTensorTools::getIsotropicBulkModulus(Cijkl); @@ -66,7 +65,7 @@ BVTwoCreepUpdateBase::inelasticUpdate(ADRankTwoTensor & stress, const RankFourTe // Update quantities _creep_strain_incr[_qp] = reformPlasticStrainTensor(creep_strain_incr); - stress -= 2.0 * _G * _creep_strain_incr[_qp]; + stress -= Cijkl * _creep_strain_incr[_qp]; postReturnMap(creep_strain_incr); } @@ -74,7 +73,7 @@ std::vector BVTwoCreepUpdateBase::returnMap() { // Initialize scalar creep strain incr - std::vector creep_strain_incr(_num_cm, 0.0); + std::vector creep_strain_incr(2, 0.0); // Initial residual std::vector res_ini = residual(creep_strain_incr); @@ -103,8 +102,6 @@ BVTwoCreepUpdateBase::nrStep(const std::vector & res, const std::vector> & jac, std::vector & creep_strain_incr) { - std::vector dx(_num_cm, 0.0); - // Check determinant ADReal det = jac[0][0] * jac[1][1] - jac[0][1] * jac[1][0]; @@ -130,8 +127,8 @@ BVTwoCreepUpdateBase::norm(const std::vector & vec) std::vector BVTwoCreepUpdateBase::residual(const std::vector & creep_strain_incr) { - std::vector res(_num_cm); - for (unsigned int i = 0; i < _num_cm; ++i) + std::vector res(2); + for (unsigned int i = 0; i < 2; ++i) res[i] = creepRate(creep_strain_incr, i) * _dt - creep_strain_incr[i]; return res; @@ -140,10 +137,10 @@ BVTwoCreepUpdateBase::residual(const std::vector & creep_strain_incr) std::vector> BVTwoCreepUpdateBase::jacobian(const std::vector & creep_strain_incr) { - std::vector> jac(_num_cm, std::vector(_num_cm)); + std::vector> jac(2, std::vector(2)); - for (unsigned int i = 0; i < _num_cm; ++i) - for (unsigned int j = 0; j < _num_cm; ++j) + for (unsigned int i = 0; i < 2; ++i) + for (unsigned int j = 0; j < 2; ++j) jac[i][j] = creepRateDerivative(creep_strain_incr, i, j) * _dt - ((i == j) ? 1.0 : 0.0); return jac; @@ -152,13 +149,12 @@ BVTwoCreepUpdateBase::jacobian(const std::vector & creep_strain_incr) ADRankTwoTensor BVTwoCreepUpdateBase::reformPlasticStrainTensor(const std::vector & creep_strain_incr) { - ADRankTwoTensor res; - res.zero(); + ADRankTwoTensor res = ADRankTwoTensor(); ADRankTwoTensor flow_dir = (_eqv_stress_tr != 0.0) ? _stress_tr.deviatoric() / _eqv_stress_tr : ADRankTwoTensor(); - for (unsigned int i = 0; i < _num_cm; ++i) + for (unsigned int i = 0; i < 2; ++i) res += 1.5 * creep_strain_incr[i] * flow_dir; return res; diff --git a/test/tests/fluid_flow/fv_single_phase_1D_transient.i b/test/tests/fluid_flow/fv_single_phase_1D_transient.i index f8cd6b4..07537c7 100644 --- a/test/tests/fluid_flow/fv_single_phase_1D_transient.i +++ b/test/tests/fluid_flow/fv_single_phase_1D_transient.i @@ -127,6 +127,6 @@ [] [Outputs] - interval = 5 + time_step_interval = 5 exodus = true [] diff --git a/test/tests/fluid_flow/single_phase_1D_transient.i b/test/tests/fluid_flow/single_phase_1D_transient.i index 38e16d0..7dbc8f4 100644 --- a/test/tests/fluid_flow/single_phase_1D_transient.i +++ b/test/tests/fluid_flow/single_phase_1D_transient.i @@ -119,6 +119,6 @@ [] [Outputs] - interval = 5 + time_step_interval = 5 exodus = true [] diff --git a/test/tests/interfaces/constant_friction_2D.i b/test/tests/interfaces/constant_friction_2D.i index da1a606..ecf9389 100644 --- a/test/tests/interfaces/constant_friction_2D.i +++ b/test/tests/interfaces/constant_friction_2D.i @@ -123,8 +123,8 @@ [Periodic] [left_right] auto_direction = x - primary = 'left' - secondary = 'right' + # primary = 'left' + # secondary = 'right' variable = 'disp_x disp_y' [] [] diff --git a/test/tests/viscoelasticity/BVBlancoMartinRTL2020ModelUpdate.i b/test/tests/viscoelasticity/BVBlancoMartinRTL2020ModelUpdate.i new file mode 100644 index 0000000..1285e2e --- /dev/null +++ b/test/tests/viscoelasticity/BVBlancoMartinRTL2020ModelUpdate.i @@ -0,0 +1,325 @@ +# Modified Lemaitre creep model +# See Blanco-Martin et al. (2023) +# Parameters +# Units: stress in MPa, time in days, strain in m / m +E = 12000 +nu = 0.3 +alpha = 0.575 +kr1 = 1.302 +beta1 = 3.053 +kr2 = 0.091 +beta2 = 1.053 +A = 100 +n = 9 +A1 = 0.034 +n1 = 1.499 +P = 5.0 +Q = 5.0 + +[Mesh] + type = GeneratedMesh + dim = 3 + # nx = 5 + # ny = 10 + # nz = 5 + nx = 1 + ny = 1 + nz = 1 + xmin = 0 + xmax = 65e-03 + ymin = 0 + ymax = 130e-03 + zmin = 0 + zmax = 65e-03 +[] + +[Variables] + [disp_x] + order = FIRST + family = LAGRANGE + [] + [disp_y] + order = FIRST + family = LAGRANGE + [] + [disp_z] + order = FIRST + family = LAGRANGE + [] +[] + +[Kernels] + [stress_x] + type = BVStressDivergence + component = x + variable = disp_x + [] + [stress_y] + type = BVStressDivergence + component = y + variable = disp_y + [] + [stress_z] + type = BVStressDivergence + component = z + variable = disp_z + [] +[] + +[AuxVariables] + [eqv_stress] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain] + order = CONSTANT + family = MONOMIAL + [] + [eqv_strain_rate] + order = CONSTANT + family = MONOMIAL + [] + [eqv_creep_strain_L] + order = CONSTANT + family = MONOMIAL + [] + [strain_yy] + order = CONSTANT + family = MONOMIAL + [] + [stress_yy] + order = CONSTANT + family = MONOMIAL + [] +[] + +[AuxKernels] + [eqv_stress_aux] + type = BVMisesStressAux + variable = eqv_stress + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_aux] + type = BVEqvStrainAux + variable = eqv_strain + execute_on = 'TIMESTEP_END' + [] + [eqv_strain_rate_aux] + type = BVEqvStrainRateAux + variable = eqv_strain_rate + execute_on = 'TIMESTEP_END' + [] + [eqv_creep_strain_L_aux] + type = ADMaterialRealAux + variable = eqv_creep_strain_L + property = eqv_creep_strain_L + execute_on = 'TIMESTEP_END' + [] + [strain_zz_aux] + type = BVStrainComponentAux + variable = strain_yy + index_i = y + index_j = y + execute_on = 'TIMESTEP_END' + [] + [stress_zz_aux] + type = BVStressComponentAux + variable = stress_yy + index_i = y + index_j = y + execute_on = 'TIMESTEP_END' + [] +[] + +[Functions] + [loading2] + type = ParsedFunction + expression = 'if(t<=20,5.5,if(t<=55,6,if(t<=76,7,if(t<=97,10,if(t<=118,15,if(t<=139,20,25))))))' + [] +[] + +[BCs] + [no_x] + type = DirichletBC + variable = disp_x + boundary = 'left' + value = 0.0 + [] + [no_y] + type = DirichletBC + variable = disp_y + boundary = 'bottom' + value = 0.0 + [] + [no_z] + type = DirichletBC + variable = disp_z + boundary = 'back' + value = 0.0 + [] + [BVPressure] + [pressure_right] + boundary = 'right' + displacement_vars = 'disp_x disp_y disp_z' + value = ${P} + [] + [pressure_front] + boundary = 'front' + displacement_vars = 'disp_x disp_y disp_z' + value = ${P} + [] + [pressure_top] + boundary = 'top' + displacement_vars = 'disp_x disp_y disp_z' + function = loading2 + [] + [] +[] + +[Materials] + [elasticity] + type = BVMechanicalMaterial + displacements = 'disp_x disp_y disp_z' + young_modulus = ${E} + poisson_ratio = ${nu} + initial_stress = '-${P} -${Q} -${P}' + inelastic_models = 'viscoelastic' + [] + #[viscoelastic] + # type = BVModifiedLemaitreModelUpdate + # alpha = ${alpha} + # kr1 = ${kr1} + # beta1 = ${beta1} + # kr2 = ${kr2} + # beta2 = ${beta2} + #[] + #[viscoelastic] + # type = BVBlancoMartinModelUpdate + # alpha = ${alpha} + # kr1 = ${kr1} + # beta1 = ${beta1} + # kr2 = ${kr2} + # beta2 = ${beta2} + # A1 = ${A1} + # n1 = ${n1} + # A = ${A} + # n = ${n} + # B = 0.0 + # m = ${n} + #[] + [viscoelastic] + type = BVBlancoMartinRTL2020ModelUpdate + alpha = ${alpha} + kr1 = ${kr1} + beta1 = ${beta1} + kr2 = ${kr2} + beta2 = ${beta2} + A1 = ${A1} + n1 = ${n1} + A = ${A} + n = ${n} + B = 0.0 + m = ${n} + Nz=0.0241 + nz=1.2644 + Mz=0.024 + mz=1.028 + z = 0.4523 + num_cm = 2 + dev_vol = true + [] +[] + +[Postprocessors] + [eqv_strain_rate] + type = ElementAverageValue + variable = eqv_strain_rate + outputs = csv + [] + [eqv_strain] + type = ElementAverageValue + variable = eqv_strain + outputs = csv + [] + [eqv_strain_L] + type = ElementAverageValue + variable = eqv_creep_strain_L + outputs = csv + [] + [strain_zz] + type = ElementAverageValue + variable = strain_yy + outputs = csv + [] + [stress_zz] + type = ElementAverageValue + variable = stress_yy + outputs = csv + [] + [q] + type = ElementAverageValue + variable = eqv_stress + outputs = csv + [] +[] + +[Preconditioning] + active = 'hypre' + [hypre] + type = SMP + full = true + petsc_options = '-snes_ksp_ew' + petsc_options_iname = '-pc_type -pc_hypre_type + -snes_atol -snes_rtol -snes_stol -snes_max_it + -snes_linesearch_type' + petsc_options_value = 'hypre boomeramg + 1.0e-10 1.0e-12 0 20 + basic' + [] + [superlu] + type = SMP + full = true + petsc_options = '-snes_ksp_ew -snes_converged_reason -ksp_converged_reason -ksp_gmres_modifiedgramschmidt -ksp_diagonal_scale -ksp_diagonal_scale_fix' + petsc_options_iname = '-snes_type + -snes_atol -snes_rtol -snes_max_it + -pc_type -pc_factor_mat_solver_package + -snes_linesearch_type' + petsc_options_value = 'newtonls + 1e-10 1e-12 50 + lu superlu_dist + l2' + [] + [asm] + type = SMP + petsc_options = '-snes_ksp_ew' + petsc_options_iname = '-ksp_type + -pc_type + -sub_pc_type + -snes_type -snes_atol -snes_rtol -snes_max_it -snes_linesearch_type + -ksp_gmres_restart' + petsc_options_value = 'fgmres + asm + ilu + newtonls 1e-10 1e-10 120 basic + 201' + [] +[] + +[Executioner] + type = Transient + solve_type = 'NEWTON' + automatic_scaling = true + start_time = 0.0 + end_time = 200 # 200 days + dt = 0.02 + timestep_tolerance = 1.0e-10 +[] + +[Outputs] + perf_graph = true + exodus = true + [csv] + type = CSV + execute_on = 'timestep_end' + [] +[] \ No newline at end of file diff --git a/test/tests/viscoelasticity/gold/blanco-martin-lemaitre_out.e b/test/tests/viscoelasticity/gold/blanco-martin-lemaitre_out.e index 922e286..ad49498 100644 Binary files a/test/tests/viscoelasticity/gold/blanco-martin-lemaitre_out.e and b/test/tests/viscoelasticity/gold/blanco-martin-lemaitre_out.e differ