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Commit 6bcc21cd authored by Jan Thiedau's avatar Jan Thiedau Committed by Dmitri Naumov
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[T] Transversal anisotropy tests. 

Add verification examples for transversal anisotropy from Vogel/Massmann
in 2 versions each.
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ProcessLib/SmallDeformation/Tests.cmake
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...@@ -11,6 +11,10 @@ if (NOT OGS_USE_MPI) ...@@ -11,6 +11,10 @@ if (NOT OGS_USE_MPI)
OgsTest(PROJECTFILE Mechanics/Linear/Orthotropy/cube_1e0_orthotropic_xyz.prj) OgsTest(PROJECTFILE Mechanics/Linear/Orthotropy/cube_1e0_orthotropic_xyz.prj)
OgsTest(PROJECTFILE Mechanics/Linear/Orthotropy/cube_1e0_orthotropic_yzx.prj) OgsTest(PROJECTFILE Mechanics/Linear/Orthotropy/cube_1e0_orthotropic_yzx.prj)
OgsTest(PROJECTFILE Mechanics/Linear/Orthotropy/cube_1e0_orthotropic_zxy.prj) OgsTest(PROJECTFILE Mechanics/Linear/Orthotropy/cube_1e0_orthotropic_zxy.prj)
OgsTest(PROJECTFILE Mechanics/Linear/Orthotropy/m3_3Dshearz.prj)
OgsTest(PROJECTFILE Mechanics/Linear/Orthotropy/m3_3Dshearz_rot.prj)
OgsTest(PROJECTFILE Mechanics/Linear/Orthotropy/m3_3Dtopload.prj)
OgsTest(PROJECTFILE Mechanics/Linear/Orthotropy/m3_3Dtoploadlc.prj)
OgsTest(PROJECTFILE Mechanics/Linear/Orthotropy/square_1e0_orthotropic_xyz.prj) OgsTest(PROJECTFILE Mechanics/Linear/Orthotropy/square_1e0_orthotropic_xyz.prj)
OgsTest(PROJECTFILE Mechanics/Linear/Orthotropy/square_1e0_orthotropic_yzx.prj) OgsTest(PROJECTFILE Mechanics/Linear/Orthotropy/square_1e0_orthotropic_yzx.prj)
OgsTest(PROJECTFILE Mechanics/Linear/Orthotropy/square_1e0_orthotropic_zxy.prj) OgsTest(PROJECTFILE Mechanics/Linear/Orthotropy/square_1e0_orthotropic_zxy.prj)
......
Tests/Data/Mechanics/Linear/Orthotropy/m3_3Dshearz.gml 0 → 100644
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<?xml version="1.0" encoding="ISO-8859-1"?>
<OpenGeoSysProject>
<!-- Massmann, Vogel in Kolditz et al 2018 chap 3.15 -->
<mesh>m3_3Dshearz.vtu</mesh>
<geometry>m3_3Dshearz.gml</geometry>
<processes>
<process>
<name>SD</name>
<type>SMALL_DEFORMATION</type>
<integration_order>3</integration_order>
<constitutive_relation>
<type>LinearElasticOrthotropic</type>
<youngs_moduli>E</youngs_moduli>
<shear_moduli>G</shear_moduli>
<poissons_ratios>nu</poissons_ratios>
</constitutive_relation>
<solid_density>rho</solid_density>
<specific_body_force>0 0 -9.81</specific_body_force>
<process_variables>
<process_variable>displacement</process_variable>
</process_variables>
<secondary_variables>
<secondary_variable type="static" internal_name="epsilon" output_name="epsilon"/>
<secondary_variable type="static" internal_name="sigma" output_name="sigma"/>
</secondary_variables>
</process>
</processes>
<time_loop>
<processes>
<process ref="SD">
<nonlinear_solver>basic_newton</nonlinear_solver>
<convergence_criterion>
<type>PerComponentDeltaX</type>
<norm_type>NORM2</norm_type>
<reltols> 1.0e+15 1.0e-5 1.0e-5 </reltols>
</convergence_criterion>
<time_discretization>
<type>BackwardEuler</type>
</time_discretization>
<time_stepping>
<type>FixedTimeStepping</type>
<t_initial> 0.0 </t_initial>
<t_end>1</t_end>
<timesteps>
<pair>
<repeat>1</repeat>
<delta_t>1</delta_t>
</pair>
</timesteps>
</time_stepping>
</process>
</processes>
<output>
<type>VTK</type>
<prefix>m3_3Dshearz</prefix>
<data_mode>Ascii</data_mode>
<compress_output>false</compress_output>
<timesteps>
<pair>
<repeat> 1 </repeat>
<each_steps> 1 </each_steps>
</pair>
</timesteps>
<variables>
<variable>displacement</variable>
<variable>epsilon</variable>
<variable>sigma</variable>
</variables>
</output>
</time_loop>
<parameters>
<!-- Transversal anisotropic along z-axis -->
<!-- Stresses in Pa -->
<parameter>
<name>E</name>
<type>Constant</type>
<!-- E_1 E_2 E_3 -->
<!-- E_i E_i E_a -->
<values>7.2e9 7.2e9 2.8e9</values>
</parameter>
<parameter>
<name>G</name>
<type>Constant</type>
<!-- G_{12} G_{23} G_{13} -->
<!-- E_i/(2(1+nu)) G_a G_a -->
<values>2.70677e9 1.2e9 1.2e9</values>
</parameter>
<parameter>
<name>nu</name>
<type>Constant</type>
<!-- nu_{12} nu_{23} nu_{13} -->
<!-- nu nu_{ia} nu_{ia} -->
<values>.33 .24 .24</values>
</parameter>
<parameter>
<name>rho</name>
<type>Constant</type>
<value>0</value>
</parameter>
<parameter>
<name>zero</name>
<type>Constant</type>
<value>0.0</value>
</parameter>
<parameter>
<name>initial_displacement</name>
<type>Constant</type>
<values>0 0 0</values>
</parameter>
<parameter>
<name>sigma0</name>
<type>Constant</type>
<value>1.e+6</value>
</parameter>
<parameter>
<name>m_sigma0</name>
<type>Constant</type>
<value>-1.e+6</value>
</parameter>
</parameters>
<process_variables>
<process_variable>
<name>displacement</name>
<components>3</components>
<order>2</order>
<initial_condition>initial_displacement</initial_condition>
<boundary_conditions>
<boundary_condition>
<geometrical_set>m3_3Dshearz</geometrical_set>
<geometry>SURF_XMIN</geometry>
<type>Dirichlet</type>
<component>0</component>
<parameter>zero</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>m3_3Dshearz</geometrical_set>
<geometry>SURF_XMIN</geometry>
<type>Dirichlet</type>
<component>1</component>
<parameter>zero</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>m3_3Dshearz</geometrical_set>
<geometry>SURF_XMIN</geometry>
<type>Dirichlet</type>
<component>2</component>
<parameter>zero</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>m3_3Dshearz</geometrical_set>
<geometry>SURF_XMAX</geometry>
<type>Neumann</type>
<component>1</component>
<parameter>sigma0</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>m3_3Dshearz</geometrical_set>
<geometry>SURF_XMAX</geometry>
<type>Neumann</type>
<component>2</component>
<parameter>sigma0</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>m3_3Dshearz</geometrical_set>
<geometry>SURF_YMIN</geometry>
<type>Neumann</type>
<component>0</component>
<parameter>m_sigma0</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>m3_3Dshearz</geometrical_set>
<geometry>SURF_YMAX</geometry>
<type>Neumann</type>
<component>0</component>
<parameter>sigma0</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>m3_3Dshearz</geometrical_set>
<geometry>SURF_ZMIN</geometry>
<type>Neumann</type>
<component>0</component>
<parameter>m_sigma0</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>m3_3Dshearz</geometrical_set>
<geometry>SURF_ZMAX</geometry>
<type>Neumann</type>
<component>0</component>
<parameter>sigma0</parameter>
</boundary_condition>
</boundary_conditions>
</process_variable>
</process_variables>
<nonlinear_solvers>
<nonlinear_solver>
<name>basic_newton</name>
<type>Newton</type>
<max_iter>10</max_iter>
<linear_solver>general_linear_solver</linear_solver>
</nonlinear_solver>
</nonlinear_solvers>
<linear_solvers>
<linear_solver>
<name>general_linear_solver</name>
<lis>-i cg -p jacobi -tol 1e-2 -maxiter 10000</lis>
<eigen>
<solver_type>CG</solver_type>
<precon_type>DIAGONAL</precon_type>
<max_iteration_step>10000</max_iteration_step>
<error_tolerance>1e-2</error_tolerance>
</eigen>
<petsc>
<prefix>sd</prefix>
<parameters>-sd_ksp_type cg -sd_pc_type bjacobi -sd_ksp_rtol 1e-10 -sd_ksp_max_it 10000</parameters>
</petsc>
</linear_solver>
</linear_solvers>
<test_definition>
<vtkdiff>
<file>m3_3Dshearz_pcs_0_ts_1_t_1.000000.vtu</file>
<field>displacement</field>
<absolute_tolerance>1e-12</absolute_tolerance>
<relative_tolerance>0</relative_tolerance>
</vtkdiff>
<vtkdiff>
<file>m3_3Dshearz_pcs_0_ts_1_t_1.000000.vtu</file>
<field>sigma</field>
<absolute_tolerance>1e-12</absolute_tolerance>
<relative_tolerance>1e-10</relative_tolerance>
</vtkdiff>
<vtkdiff>
<file>m3_3Dshearz_pcs_0_ts_1_t_1.000000.vtu</file>
<field>epsilon</field>
<absolute_tolerance>1e-12</absolute_tolerance>
<relative_tolerance>0</relative_tolerance>
</vtkdiff>
</test_definition>
</OpenGeoSysProject>
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<?xml version="1.0" encoding="ISO-8859-1"?>
<OpenGeoSysProject>
<!-- cf Massmann, Vogel in Kolditz et al 2018 chap 3.15 -->
<!-- with coordinate system aligned to principal stresses -->
<mesh>m3_3Dshearz_qrot.vtu</mesh>
<geometry>m3_3Dshearz_rot.gml</geometry>
<processes>
<process>
<name>SD</name>
<type>SMALL_DEFORMATION</type>
<integration_order>3</integration_order>
<constitutive_relation>
<type>LinearElasticOrthotropic</type>
<youngs_moduli>E</youngs_moduli>
<shear_moduli>G</shear_moduli>
<poissons_ratios>nu</poissons_ratios>
</constitutive_relation>
<solid_density>rho</solid_density>
<specific_body_force>0 0 -9.81</specific_body_force>
<process_variables>
<process_variable>displacement</process_variable>
</process_variables>
<secondary_variables>
<secondary_variable type="static" internal_name="epsilon" output_name="epsilon"/>
<secondary_variable type="static" internal_name="sigma" output_name="sigma"/>
</secondary_variables>
</process>
</processes>
<time_loop>
<processes>
<process ref="SD">
<nonlinear_solver>basic_newton</nonlinear_solver>
<convergence_criterion>
<type>PerComponentDeltaX</type>
<norm_type>NORM2</norm_type>
<reltols> 1.0e-5 1.0e15 1.0e-5 </reltols>
</convergence_criterion>
<time_discretization>
<type>BackwardEuler</type>
</time_discretization>
<time_stepping>
<type>FixedTimeStepping</type>
<t_initial> 0.0 </t_initial>
<t_end>1</t_end>
<timesteps>
<pair>
<repeat>1</repeat>
<delta_t>1</delta_t>
</pair>
</timesteps>
</time_stepping>
</process>
</processes>
<output>
<type>VTK</type>
<prefix>m3_3Dshearz_rot</prefix>
<data_mode>Ascii</data_mode>
<compress_output>false</compress_output>
<timesteps>
<pair>
<repeat> 1 </repeat>
<each_steps> 1 </each_steps>
</pair>
</timesteps>
<variables>
<variable>displacement</variable>
<variable>epsilon</variable>
<variable>sigma</variable>
</variables>
</output>
</time_loop>
<!-- Transversal anisotropic along local z-axis -->
<local_coordinate_system>
<basis_vector_0>e0</basis_vector_0>
<basis_vector_1>e1</basis_vector_1>
<basis_vector_2>e2</basis_vector_2>
</local_coordinate_system>
<parameters>
<parameter>
<name>e0</name>
<type>Constant</type>
<values>0.7071067811865476 0 -0.7071067811865476</values>
</parameter>
<parameter>
<name>e1</name>
<type>Constant</type>
<values>0.5 0.7071067811865476 0.5</values>
</parameter>
<parameter>
<name>e2</name>
<type>Constant</type>
<values>0.5 -0.7071067811865476 0.5</values>
</parameter>
<!-- Stresses in Pa -->
<parameter>
<name>E</name>
<type>Constant</type>
<!-- E_1 E_2 E_3 -->
<!-- E_i E_i E_a -->
<values>7.2e9 7.2e9 2.8e9</values>
</parameter>
<parameter>
<name>G</name>
<type>Constant</type>
<!-- G_{12} G_{23} G_{13} -->
<!-- E_i/(2(1+nu)) G_a G_a -->
<values>2.70677e9 1.2e9 1.2e9</values>
</parameter>
<parameter>
<name>nu</name>
<type>Constant</type>
<!-- nu_{12} nu_{23} nu_{13} -->
<!-- nu nu_{ia} nu_{ia} -->
<values>.33 .24 .24</values>
</parameter>
<parameter>
<name>rho</name>
<type>Constant</type>
<value>0</value>
</parameter>
<parameter>
<name>zero</name>
<type>Constant</type>
<value>0.0</value>
</parameter>
<parameter>
<name>initial_displacement</name>
<type>Constant</type>
<values>0 0 0</values>
</parameter>
<parameter>
<name>sigma0</name>
<type>Constant</type>
<value>1.e+6</value>
</parameter>
<parameter>
<name>sigma0_sqrt2</name>
<type>Constant</type>
<value>0.7071067811865476e+6</value>
</parameter>
<parameter>
<name>m_sigma0_sqrt2</name>
<type>Constant</type>
<value>-0.7071067811865476e+6</value>
</parameter>
</parameters>
<process_variables>
<process_variable>
<name>displacement</name>
<components>3</components>
<order>2</order>
<initial_condition>initial_displacement</initial_condition>
<boundary_conditions>
<boundary_condition>
<geometrical_set>m3_3Dshearz_rot</geometrical_set>
<geometry>SURF_XMIN</geometry>
<type>Dirichlet</type>
<component>0</component>
<parameter>zero</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>m3_3Dshearz_rot</geometrical_set>
<geometry>SURF_XMIN</geometry>
<type>Dirichlet</type>
<component>1</component>
<parameter>zero</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>m3_3Dshearz_rot</geometrical_set>
<geometry>SURF_XMIN</geometry>
<type>Dirichlet</type>
<component>2</component>
<parameter>zero</parameter>
</boundary_condition>
<!-- -->
<boundary_condition>
<geometrical_set>m3_3Dshearz_rot</geometrical_set>
<geometry>SURF_XMAX</geometry>
<type>Neumann</type>
<component>0</component>
<parameter>sigma0</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>m3_3Dshearz_rot</geometrical_set>
<geometry>SURF_XMAX</geometry>
<type>Neumann</type>
<component>2</component>
<parameter>sigma0</parameter>
</boundary_condition>
<!-- -->
<boundary_condition>
<geometrical_set>m3_3Dshearz_rot</geometrical_set>
<geometry>SURF_YMIN</geometry>
<type>Neumann</type>
<component>0</component>
<parameter>m_sigma0_sqrt2</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>m3_3Dshearz_rot</geometrical_set>
<geometry>SURF_YMIN</geometry>
<type>Neumann</type>
<component>2</component>
<parameter>sigma0_sqrt2</parameter>
</boundary_condition>
<!-- -->
<boundary_condition>
<geometrical_set>m3_3Dshearz_rot</geometrical_set>
<geometry>SURF_YMAX</geometry>
<type>Neumann</type>
<component>0</component>
<parameter>sigma0_sqrt2</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>m3_3Dshearz_rot</geometrical_set>
<geometry>SURF_YMAX</geometry>
<type>Neumann</type>
<component>2</component>
<parameter>m_sigma0_sqrt2</parameter>
</boundary_condition>
<!-- -->
<boundary_condition>
<geometrical_set>m3_3Dshearz_rot</geometrical_set>
<geometry>SURF_ZMIN</geometry>
<type>Neumann</type>
<component>0</component>
<parameter>m_sigma0_sqrt2</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>m3_3Dshearz_rot</geometrical_set>
<geometry>SURF_ZMIN</geometry>
<type>Neumann</type>
<component>2</component>
<parameter>sigma0_sqrt2</parameter>
</boundary_condition>
<!-- -->
<boundary_condition>
<geometrical_set>m3_3Dshearz_rot</geometrical_set>
<geometry>SURF_ZMAX</geometry>
<type>Neumann</type>
<component>0</component>
<parameter>sigma0_sqrt2</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>m3_3Dshearz_rot</geometrical_set>
<geometry>SURF_ZMAX</geometry>
<type>Neumann</type>
<component>2</component>
<parameter>m_sigma0_sqrt2</parameter>
</boundary_condition>
</boundary_conditions>
</process_variable>
</process_variables>
<nonlinear_solvers>
<nonlinear_solver>
<name>basic_newton</name>
<type>Newton</type>
<max_iter>10</max_iter>
<linear_solver>general_linear_solver</linear_solver>
</nonlinear_solver>
</nonlinear_solvers>
<linear_solvers>
<linear_solver>
<name>general_linear_solver</name>
<lis>-i cg -p jacobi -tol 1e-2 -maxiter 10000</lis>
<eigen>
<solver_type>CG</solver_type>
<precon_type>DIAGONAL</precon_type>
<max_iteration_step>10000</max_iteration_step>
<error_tolerance>1e-2</error_tolerance>
</eigen>
<petsc>
<prefix>sd</prefix>
<parameters>-sd_ksp_type cg -sd_pc_type bjacobi -sd_ksp_rtol 1e-10 -sd_ksp_max_it 10000</parameters>
</petsc>
</linear_solver>
</linear_solvers>
<test_definition>
<vtkdiff>
<file>m3_3Dshearz_rot_pcs_0_ts_1_t_1.000000.vtu</file>
<field>displacement</field>
<absolute_tolerance>1e-12</absolute_tolerance>
<relative_tolerance>0</relative_tolerance>
</vtkdiff>
<vtkdiff>
<file>m3_3Dshearz_rot_pcs_0_ts_1_t_1.000000.vtu</file>
<field>sigma</field>
<absolute_tolerance>1e-12</absolute_tolerance>
<relative_tolerance>1e-10</relative_tolerance>
</vtkdiff>
<vtkdiff>
<file>m3_3Dshearz_rot_pcs_0_ts_1_t_1.000000.vtu</file>
<field>epsilon</field>
<absolute_tolerance>1e-12</absolute_tolerance>
<relative_tolerance>0</relative_tolerance>
</vtkdiff>
</test_definition>
</OpenGeoSysProject>
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<?xml version="1.0" encoding="ISO-8859-1"?>
<OpenGeoSysProject>
<!-- Massmann, Vogel in Kolditz et al 2018 chap 3.16 -->
<mesh>m3_3Dtopload.vtu</mesh>
<geometry>m3_3Dtopload.gml</geometry>
<processes>
<process>
<name>SD</name>
<type>SMALL_DEFORMATION</type>
<integration_order>3</integration_order>
<constitutive_relation>
<type>LinearElasticOrthotropic</type>
<youngs_moduli>E</youngs_moduli>
<shear_moduli>G</shear_moduli>
<poissons_ratios>nu</poissons_ratios>
</constitutive_relation>
<solid_density>rho</solid_density>
<specific_body_force>0 0 -9.81</specific_body_force>
<process_variables>
<process_variable>displacement</process_variable>
</process_variables>
<secondary_variables>
<secondary_variable type="static" internal_name="epsilon" output_name="epsilon"/>
<secondary_variable type="static" internal_name="sigma" output_name="sigma"/>
</secondary_variables>
</process>
</processes>
<time_loop>
<processes>
<process ref="SD">
<nonlinear_solver>basic_newton</nonlinear_solver>
<convergence_criterion>
<type>PerComponentDeltaX</type>
<norm_type>NORM2</norm_type>
<reltols> 1.0e-5 1.0e-5 1.0e-5 </reltols>
</convergence_criterion>
<time_discretization>
<type>BackwardEuler</type>
</time_discretization>
<time_stepping>
<type>FixedTimeStepping</type>
<t_initial> 0.0 </t_initial>
<t_end>1</t_end>
<timesteps>
<pair>
<repeat>1</repeat>
<delta_t>1</delta_t>
</pair>
</timesteps>
</time_stepping>
</process>
</processes>
<output>
<type>VTK</type>
<prefix>m3_3Dtopload</prefix>
<data_mode>Ascii</data_mode>
<compress_output>false</compress_output>
<timesteps>
<pair>
<repeat> 1 </repeat>
<each_steps> 1 </each_steps>
</pair>
</timesteps>
<variables>
<variable>displacement</variable>
<variable>epsilon</variable>
<variable>sigma</variable>
</variables>
</output>
</time_loop>
<parameters>
<!-- Transversal anisotropic along z-axis -->
<!-- Stresses in Pa -->
<parameter>
<name>E</name>
<type>Constant</type>
<!-- E_1 E_2 E_3 -->
<!-- E_i E_i E_a -->
<values>7.2e9 7.2e9 2.8e9</values>
</parameter>
<parameter>
<name>G</name>
<type>Constant</type>
<!-- G_{12} G_{23} G_{13} -->
<!-- E_i/(2(1+nu)) G_a G_a -->
<values>2.70677e9 1.2e9 1.2e9</values>
</parameter>
<parameter>
<name>nu</name>
<type>Constant</type>
<!-- nu_{12} nu_{23} nu_{13} -->
<!-- nu nu_{ia} nu_{ia} -->
<values>.33 .24 .24</values>
</parameter>
<parameter>
<name>rho</name>
<type>Constant</type>
<value>2.45e+3</value>
</parameter>
<parameter>
<name>zero</name>
<type>Constant</type>
<value>0.0</value>
</parameter>
<parameter>
<name>initial_displacement</name>
<type>Constant</type>
<values>0 0 0</values>
</parameter>
<parameter>
<name>rho_g_H_root2</name>
<type>Constant</type>
<value>169949.57932428076</value>
</parameter>
<parameter>
<name>m_rho_g_H_root2</name>
<type>Constant</type>
<value>-169949.57932428076</value>
</parameter>
</parameters>
<process_variables>
<process_variable>
<name>displacement</name>
<components>3</components>
<order>2</order>
<initial_condition>initial_displacement</initial_condition>
<boundary_conditions>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>SURFACE1</geometry>
<type>Dirichlet</type>
<component>0</component>
<parameter>zero</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>SURFACE2</geometry>
<type>Dirichlet</type>
<component>1</component>
<parameter>zero</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>POINT_ORIGIN</geometry>
<type>Dirichlet</type>
<component>2</component>
<parameter>zero</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>SURFACE4</geometry>
<type>Neumann</type>
<component>0</component>
<parameter>rho_g_H_root2</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>SURFACE5</geometry>
<type>Neumann</type>
<component>1</component>
<parameter>zero</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>SURFACE6</geometry>
<type>Neumann</type>
<component>2</component>
<parameter>rho_g_H_root2</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>SURFACE7</geometry>
<type>Neumann</type>
<component>0</component>
<parameter>m_rho_g_H_root2</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>SURFACE8</geometry>
<type>Neumann</type>
<component>1</component>
<parameter>zero</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>SURFACE9</geometry>
<type>Neumann</type>
<component>2</component>
<parameter>rho_g_H_root2</parameter>
</boundary_condition>
</boundary_conditions>
</process_variable>
</process_variables>
<nonlinear_solvers>
<nonlinear_solver>
<name>basic_newton</name>
<type>Newton</type>
<max_iter>10</max_iter>
<linear_solver>general_linear_solver</linear_solver>
</nonlinear_solver>
</nonlinear_solvers>
<linear_solvers>
<linear_solver>
<name>general_linear_solver</name>
<lis>-i cg -p jacobi -tol 1e-2 -maxiter 10000</lis>
<eigen>
<solver_type>CG</solver_type>
<precon_type>DIAGONAL</precon_type>
<max_iteration_step>10000</max_iteration_step>
<error_tolerance>1e-2</error_tolerance>
</eigen>
<petsc>
<prefix>sd</prefix>
<parameters>-sd_ksp_type cg -sd_pc_type bjacobi -sd_ksp_rtol 1e-10 -sd_ksp_max_it 10000</parameters>
</petsc>
</linear_solver>
</linear_solvers>
<test_definition>
<vtkdiff>
<file>m3_3Dtopload_pcs_0_ts_1_t_1.000000.vtu</file>
<field>displacement</field>
<absolute_tolerance>1e-12</absolute_tolerance>
<relative_tolerance>0</relative_tolerance>
</vtkdiff>
<vtkdiff>
<file>m3_3Dtopload_pcs_0_ts_1_t_1.000000.vtu</file>
<field>sigma</field>
<absolute_tolerance>1e-12</absolute_tolerance>
<relative_tolerance>1e-10</relative_tolerance>
</vtkdiff>
<vtkdiff>
<file>m3_3Dtopload_pcs_0_ts_1_t_1.000000.vtu</file>
<field>epsilon</field>
<absolute_tolerance>1e-12</absolute_tolerance>
<relative_tolerance>0</relative_tolerance>
</vtkdiff>
</test_definition>
</OpenGeoSysProject>
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<?xml version="1.0" encoding="ISO-8859-1"?>
<OpenGeoSysProject>
<!-- Massmann, Vogel in Kolditz et al 2018 chap 3.16 -->
<!-- with Permuted directions of anisotropie -->
<mesh>m3_3Dtopload.vtu</mesh>
<geometry>m3_3Dtopload.gml</geometry>
<processes>
<process>
<name>SD</name>
<type>SMALL_DEFORMATION</type>
<integration_order>3</integration_order>
<constitutive_relation>
<type>LinearElasticOrthotropic</type>
<youngs_moduli>E</youngs_moduli>
<shear_moduli>G</shear_moduli>
<poissons_ratios>nu</poissons_ratios>
</constitutive_relation>
<solid_density>rho</solid_density>
<specific_body_force>0 0 -9.81</specific_body_force>
<process_variables>
<process_variable>displacement</process_variable>
</process_variables>
<secondary_variables>
<secondary_variable type="static" internal_name="epsilon" output_name="epsilon"/>
<secondary_variable type="static" internal_name="sigma" output_name="sigma"/>
</secondary_variables>
</process>
</processes>
<time_loop>
<processes>
<process ref="SD">
<nonlinear_solver>basic_newton</nonlinear_solver>
<convergence_criterion>
<type>PerComponentDeltaX</type>
<norm_type>NORM2</norm_type>
<reltols> 1.0e-5 1.0e-5 1.0e-5 </reltols>
</convergence_criterion>
<time_discretization>
<type>BackwardEuler</type>
</time_discretization>
<time_stepping>
<type>FixedTimeStepping</type>
<t_initial> 0.0 </t_initial>
<t_end>1</t_end>
<timesteps>
<pair>
<repeat>1</repeat>
<delta_t>1</delta_t>
</pair>
</timesteps>
</time_stepping>
</process>
</processes>
<output>
<type>VTK</type>
<prefix>m3_3Dtoploadlc</prefix>
<data_mode>Ascii</data_mode>
<compress_output>false</compress_output>
<timesteps>
<pair>
<repeat> 1 </repeat>
<each_steps> 1 </each_steps>
</pair>
</timesteps>
<variables>
<variable>displacement</variable>
<variable>epsilon</variable>
<variable>sigma</variable>
</variables>
</output>
</time_loop>
<!-- Transversal anisotropic along z-axis -->
<local_coordinate_system>
<basis_vector_0>e2</basis_vector_0>
<basis_vector_1>e0</basis_vector_1>
<basis_vector_2>e1</basis_vector_2>
</local_coordinate_system>
<parameters>
<parameter>
<name>e0</name>
<type>Constant</type>
<values>1 0 0</values>
</parameter>
<parameter>
<name>e1</name>
<type>Constant</type>
<values>0 1 0</values>
</parameter>
<parameter>
<name>e2</name>
<type>Constant</type>
<values>0 0 1</values>
</parameter>
<!-- Stresses in Pa -->
<parameter>
<name>E</name>
<type>Constant</type>
<!-- E_1 E_2 E_3 -->
<!-- E_a E_i E_i -->
<values>2.8e9 7.2e9 7.2e9</values>
</parameter>
<parameter>
<name>G</name>
<type>Constant</type>
<!-- G_{12} G_{23} G_{13} -->
<!-- G_a E_i/(2(1+nu)) G_a -->
<values>1.2e9 2.70677e9 1.2e9</values>
</parameter>
<parameter>
<name>nu</name>
<type>Constant</type>
<!-- nu_{12} nu_{23} nu_{13} -->
<!-- nu_{ia}*E_a/E_i nu nu_{ia}*E_a/E_i -->
<values>0.09333333333333332 0.33 0.09333333333333332</values>
</parameter>
<parameter>
<name>rho</name>
<type>Constant</type>
<value>2.45e+3</value>
</parameter>
<parameter>
<name>zero</name>
<type>Constant</type>
<value>0.0</value>
</parameter>
<parameter>
<name>initial_displacement</name>
<type>Constant</type>
<values>0 0 0</values>
</parameter>
<parameter>
<name>rho_g_H_root2</name>
<type>Constant</type>
<value>169949.57932428076</value>
</parameter>
<parameter>
<name>m_rho_g_H_root2</name>
<type>Constant</type>
<value>-169949.57932428076</value>
</parameter>
</parameters>
<process_variables>
<process_variable>
<name>displacement</name>
<components>3</components>
<order>2</order>
<initial_condition>initial_displacement</initial_condition>
<boundary_conditions>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>SURFACE1</geometry>
<type>Dirichlet</type>
<component>0</component>
<parameter>zero</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>SURFACE2</geometry>
<type>Dirichlet</type>
<component>1</component>
<parameter>zero</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>POINT_ORIGIN</geometry>
<type>Dirichlet</type>
<component>2</component>
<parameter>zero</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>SURFACE4</geometry>
<type>Neumann</type>
<component>0</component>
<parameter>rho_g_H_root2</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>SURFACE5</geometry>
<type>Neumann</type>
<component>1</component>
<parameter>zero</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>SURFACE6</geometry>
<type>Neumann</type>
<component>2</component>
<parameter>rho_g_H_root2</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>SURFACE7</geometry>
<type>Neumann</type>
<component>0</component>
<parameter>m_rho_g_H_root2</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>SURFACE8</geometry>
<type>Neumann</type>
<component>1</component>
<parameter>zero</parameter>
</boundary_condition>
<boundary_condition>
<geometrical_set>geometry</geometrical_set>
<geometry>SURFACE9</geometry>
<type>Neumann</type>
<component>2</component>
<parameter>rho_g_H_root2</parameter>
</boundary_condition>
</boundary_conditions>
</process_variable>
</process_variables>
<nonlinear_solvers>
<nonlinear_solver>
<name>basic_newton</name>
<type>Newton</type>
<max_iter>10</max_iter>
<linear_solver>general_linear_solver</linear_solver>
</nonlinear_solver>
</nonlinear_solvers>
<linear_solvers>
<linear_solver>
<name>general_linear_solver</name>
<lis>-i cg -p jacobi -tol 1e-2 -maxiter 10000</lis>
<eigen>
<solver_type>CG</solver_type>
<precon_type>DIAGONAL</precon_type>
<max_iteration_step>10000</max_iteration_step>
<error_tolerance>1e-2</error_tolerance>
</eigen>
<petsc>
<prefix>sd</prefix>
<parameters>-sd_ksp_type cg -sd_pc_type bjacobi -sd_ksp_rtol 1e-10 -sd_ksp_max_it 10000</parameters>
</petsc>
</linear_solver>
</linear_solvers>
<test_definition>
<vtkdiff>
<file>m3_3Dtoploadlc_pcs_0_ts_1_t_1.000000.vtu</file>
<field>displacement</field>
<absolute_tolerance>1e-12</absolute_tolerance>
<relative_tolerance>0</relative_tolerance>
</vtkdiff>
<vtkdiff>
<file>m3_3Dtoploadlc_pcs_0_ts_1_t_1.000000.vtu</file>
<field>sigma</field>
<absolute_tolerance>1e-12</absolute_tolerance>
<relative_tolerance>1e-10</relative_tolerance>
</vtkdiff>
<vtkdiff>
<file>m3_3Dtoploadlc_pcs_0_ts_1_t_1.000000.vtu</file>
<field>epsilon</field>
<absolute_tolerance>1e-12</absolute_tolerance>
<relative_tolerance>0</relative_tolerance>
</vtkdiff>
</test_definition>
</OpenGeoSysProject>
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