diff --git a/Tests/Data/PhaseField/ME01_ext_2D_orth.prj b/Tests/Data/PhaseField/ME01_ext_2D_orth.prj
new file mode 100644
index 0000000000000000000000000000000000000000..76067855b481308df66417d2f63f564b5b53ec6f
--- /dev/null
+++ b/Tests/Data/PhaseField/ME01_ext_2D_orth.prj
@@ -0,0 +1,344 @@
+<?xml version="1.0" encoding="ISO-8859-1"?>
+<OpenGeoSysProject>
+ <meshes>
+ <mesh>ME01_ext_2D_orth.vtu</mesh>
+ <mesh>me1_2D_p_0.vtu</mesh>
+ <mesh>me1_2D_p_1.vtu</mesh>
+ <mesh>me1_2D_p_3.vtu</mesh>
+ <mesh>me1_2D_p_5.vtu</mesh>
+ <mesh>me1_2D_top.vtu</mesh>
+ <mesh>me1_2D_bottom.vtu</mesh>
+ <mesh>me1_2D_left.vtu</mesh>
+ <mesh>me1_2D_right.vtu</mesh>
+ </meshes>
+ <processes>
+ <process>
+ <name>PhaseField</name>
+ <type>PHASE_FIELD</type>
+ <coupling_scheme>staggered</coupling_scheme>
+ <hydro_crack_scheme>static</hydro_crack_scheme>
+ <at_num>2</at_num>
+ <split_method>3</split_method>
+ <reg_param>-0.1</reg_param>
+ <integration_order>2</integration_order>
+ <pf_irrv>1.0</pf_irrv>
+ <constitutive_relation>
+ <type>LinearElasticIsotropic</type>
+ <youngs_modulus>E</youngs_modulus>
+ <poissons_ratio>nu</poissons_ratio>
+ </constitutive_relation>
+ <phasefield_parameters>
+ <residual_stiffness>k</residual_stiffness>
+ <crack_resistance>gc</crack_resistance>
+ <crack_length_scale>ls</crack_length_scale>
+ <kinetic_coefficient>M</kinetic_coefficient>
+ <history_field>H</history_field>
+ </phasefield_parameters>
+ <solid_density>rho_sr</solid_density>
+ <process_variables>
+ <phasefield>phasefield</phasefield>
+ <displacement>displacement</displacement>
+ </process_variables>
+ <specific_body_force>0 0 </specific_body_force>
+ </process>
+ </processes>
+ <time_loop>
+ <global_process_coupling>
+ <max_iter> 10000 </max_iter>
+ <convergence_criteria>
+ <!-- convergence criterion for the first process -->
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>NORM2</norm_type>
+ <abstol>1.e-1</abstol>
+ <reltol>1.e-1</reltol>
+ </convergence_criterion>
+ <!-- convergence criterion for the second process -->
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>INFINITY_N</norm_type>
+ <abstol>1.e-4</abstol>
+ <reltol>1.e-10</reltol>
+ </convergence_criterion>
+ </convergence_criteria>
+ </global_process_coupling>
+ <processes>
+ <process ref="PhaseField">
+ <nonlinear_solver>basic_newton_u</nonlinear_solver>
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>NORM2</norm_type>
+ <reltol>1.e-12</reltol>
+ </convergence_criterion>
+ <time_discretization>
+ <type>BackwardEuler</type>
+ </time_discretization>
+
+ <time_stepping>
+ <type>FixedTimeStepping</type>
+ <t_initial>0</t_initial>
+ <t_end>1.01</t_end>
+ <timesteps>
+ <pair>
+ <repeat>100</repeat>
+ <delta_t>0.05</delta_t>
+ </pair>
+ </timesteps>
+ </time_stepping>
+ </process>
+ <process ref="PhaseField">
+ <nonlinear_solver>petsc_snes</nonlinear_solver>
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>NORM2</norm_type>
+ <reltol>1.e-14</reltol>
+ </convergence_criterion>
+ <time_discretization>
+ <type>BackwardEuler</type>
+ </time_discretization>
+ <time_stepping>
+ <type>FixedTimeStepping</type>
+ <t_initial>0</t_initial>
+ <t_end>1.01</t_end>
+ <timesteps>
+ <pair>
+ <repeat>100</repeat>
+ <delta_t>0.05</delta_t>
+ </pair>
+ </timesteps>
+ </time_stepping>
+ </process>
+ </processes>
+ <output>
+ <variables>
+ <variable>displacement</variable>
+ <variable>phasefield</variable>
+ </variables>
+ <type>VTK</type>
+ <prefix>me01_ext_2D</prefix>
+ <timesteps>
+ <pair>
+ <repeat>100</repeat>
+ <each_steps>1</each_steps>
+ </pair>
+ <pair>
+ <repeat>10</repeat>
+ <each_steps>1</each_steps>
+ </pair>
+ <!--<pair><repeat>50</repeat><each_steps>100</each_steps></pair>-->
+ </timesteps>
+ </output>
+ </time_loop>
+ <parameters>
+ <!-- Mechanics -->
+ <parameter>
+ <name>E</name>
+ <type>Constant</type>
+ <value>30e9</value>
+ </parameter>
+ <parameter>
+ <name>nu</name>
+ <type>Constant</type>
+ <value>0.22</value>
+ </parameter>
+ <parameter>
+ <name>k</name>
+ <type>Constant</type>
+ <value>1e-8</value>
+ </parameter>
+ <parameter>
+ <name>gc</name>
+<!-- <type>Constant</type>
+ <value>100</value> -->
+ <type>MeshElement</type>
+ <field_name>Gc</field_name>
+ </parameter>
+ <parameter>
+ <name>ls</name>
+ <type>Constant</type>
+ <value>0.0005</value>
+ </parameter>
+ <parameter>
+ <name>H</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+ <parameter>
+ <name>rho_sr</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+ <parameter>
+ <name>displacement0</name>
+ <type>Constant</type>
+ <values>0 0</values>
+ </parameter>
+ <parameter>
+ <name>phasefield_ic</name>
+<!-- <type>MeshNode</type>
+ <field_name>pf-ic</field_name> -->
+ <type>Constant</type>
+ <value>1</value>
+ </parameter>
+ <parameter>
+ <name>phasefield_bc</name>
+ <type>Constant</type>
+ <value>1</value>
+ </parameter>
+ <parameter>
+ <name>dirichlet0</name>
+ <type>Constant</type>
+ <value>0</value>
+ </parameter>
+ <parameter>
+ <name>dirichlet_right</name>
+ <type>Constant</type>
+ <value>-30.0</value>
+ </parameter>
+ <parameter>
+ <name>dirichlet_top</name>
+ <type>Constant</type>
+ <value>-15.0</value>
+ </parameter>
+ <parameter>
+ <name>force_top</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+ <parameter>
+ <name>force_right</name>
+ <type>Constant</type>
+ <value>-5</value>
+ </parameter>
+ <parameter>
+ <name>M</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+ <parameter>
+ <name>dirichlet_top_y</name>
+ <type>CurveScaled</type>
+ <curve>dirichlet_time</curve>
+ <parameter>dirichlet_load</parameter>
+ </parameter>
+ <parameter>
+ <name>dirichlet_load</name>
+ <type>Constant</type>
+ <value>1</value>
+ </parameter>
+ </parameters>
+ <curves>
+ <curve>
+ <name>dirichlet_time</name>
+ <coords>0 1.0 </coords>
+ <!-- 2.91946, 2.93516-2.93536 AT1 -->
+ <values>0 -185.e-6</values>
+ </curve>
+ </curves>
+ <process_variables>
+ <process_variable>
+ <name>displacement</name>
+ <components>2</components>
+ <order>1</order>
+ <initial_condition>displacement0</initial_condition>
+ <boundary_conditions>
+ <boundary_condition>
+ <mesh>me1_2D_p_0</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>me1_2D_p_0</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>me1_2D_p_1</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>me1_2D_p_3</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>dirichlet_top_y</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>me1_2D_p_5</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>dirichlet_top_y</parameter>
+ </boundary_condition>
+ </boundary_conditions>
+ </process_variable>
+ <process_variable>
+ <name>phasefield</name>
+ <components>1</components>
+ <order>1</order>
+ <initial_condition>phasefield_ic</initial_condition>
+ <boundary_conditions>
+ <boundary_condition>
+ <mesh>me1_2D_top</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>phasefield_bc</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>me1_2D_bottom</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>phasefield_bc</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>me1_2D_left</mesh>
+ <type>PhaseFieldIrreversibleDamageOracleBoundaryCondition</type>
+ <component>0</component>
+ </boundary_condition>
+ </boundary_conditions>
+ </process_variable>
+ </process_variables>
+ <nonlinear_solvers>
+ <nonlinear_solver>
+ <name>petsc_snes</name>
+ <type>PETScSNES</type>
+ <max_iter>50</max_iter>
+ <linear_solver>linear_solver_d</linear_solver>
+ </nonlinear_solver>
+ <nonlinear_solver>
+ <name>basic_newton_u</name>
+ <type>Newton</type>
+ <max_iter>200</max_iter>
+ <linear_solver>linear_solver_u</linear_solver>
+ </nonlinear_solver>
+ </nonlinear_solvers>
+ <linear_solvers>
+ <linear_solver>
+ <name>linear_solver_d</name>
+ <eigen>
+ <solver_type>BiCGSTAB</solver_type>
+ <precon_type>ILUT</precon_type>
+ <max_iteration_step>10000</max_iteration_step>
+ <error_tolerance>1e-16</error_tolerance>
+ </eigen>
+ <petsc>
+ <parameters>-ksp_type cg -pc_type bjacobi -ksp_atol 1e-10 -ksp_rtol 1e-8 -snes_type vinewtonssls -snes_linesearch_type l2 -snes_atol 1.e-8 -snes_rtol 1.e-8 -snes_max_it 1000 -snes_monitor </parameters>
+ </petsc>
+ </linear_solver>
+ <linear_solver>
+ <name>linear_solver_u</name>
+ <!--eigen>
+ <solver_type>BiCGSTAB</solver_type>
+ <precon_type>ILUT</precon_type>
+ <max_iteration_step>10000</max_iteration_step>
+ <error_tolerance>1e-16</error_tolerance>
+ </eigen>-->
+ <petsc>
+ <!-- <parameters>-ksp_type cg -pc_type none -ksp_atol 1e-10 -ksp_rtol 1e-8 </parameters> -->
+ <parameters>-ksp_type cg -pc_type hypre -pc_hypre_type boomeramg -pc_hypre_boomeramg_strong_threshold 0.7 -ksp_atol 1e-16 -ksp_rtol 1e-16 </parameters>
+ </petsc>
+ </linear_solver>
+ </linear_solvers>
+</OpenGeoSysProject>
diff --git a/Tests/Data/PhaseField/ME01_ext_2D_orth.vtu b/Tests/Data/PhaseField/ME01_ext_2D_orth.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..cb06508e89af91d70ceccf4a117e08c6dfd287c4
Binary files /dev/null and b/Tests/Data/PhaseField/ME01_ext_2D_orth.vtu differ
diff --git a/Tests/Data/PhaseField/ME01_ext_2D_para.prj b/Tests/Data/PhaseField/ME01_ext_2D_para.prj
new file mode 100644
index 0000000000000000000000000000000000000000..14655e01b0c34ebfa25855211f5085f8e74ac532
--- /dev/null
+++ b/Tests/Data/PhaseField/ME01_ext_2D_para.prj
@@ -0,0 +1,337 @@
+<?xml version="1.0" encoding="ISO-8859-1"?>
+<OpenGeoSysProject>
+ <meshes>
+ <mesh>ME01_ext_2D_para.vtu</mesh>
+ <mesh>me1_2D_p_0.vtu</mesh>
+ <mesh>me1_2D_p_1.vtu</mesh>
+ <mesh>me1_2D_p_3.vtu</mesh>
+ <mesh>me1_2D_top.vtu</mesh>
+ <mesh>me1_2D_bottom.vtu</mesh>
+ <mesh>me1_2D_left.vtu</mesh>
+ <mesh>me1_2D_right.vtu</mesh>
+ </meshes>
+ <processes>
+ <process>
+ <name>PhaseField</name>
+ <type>PHASE_FIELD</type>
+ <coupling_scheme>staggered</coupling_scheme>
+ <hydro_crack_scheme>static</hydro_crack_scheme>
+ <at_num>2</at_num>
+ <split_method>3</split_method>
+ <reg_param>-0.1</reg_param>
+ <integration_order>2</integration_order>
+ <pf_irrv>1.0</pf_irrv>
+ <constitutive_relation>
+ <type>LinearElasticIsotropic</type>
+ <youngs_modulus>E</youngs_modulus>
+ <poissons_ratio>nu</poissons_ratio>
+ </constitutive_relation>
+ <phasefield_parameters>
+ <residual_stiffness>k</residual_stiffness>
+ <crack_resistance>gc</crack_resistance>
+ <crack_length_scale>ls</crack_length_scale>
+ <kinetic_coefficient>M</kinetic_coefficient>
+ <history_field>H</history_field>
+ </phasefield_parameters>
+ <solid_density>rho_sr</solid_density>
+ <process_variables>
+ <phasefield>phasefield</phasefield>
+ <displacement>displacement</displacement>
+ </process_variables>
+ <specific_body_force>0 0 </specific_body_force>
+ </process>
+ </processes>
+ <time_loop>
+ <global_process_coupling>
+ <max_iter> 10000 </max_iter>
+ <convergence_criteria>
+ <!-- convergence criterion for the first process -->
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>NORM2</norm_type>
+ <abstol>1.e-1</abstol>
+ <reltol>1.e-1</reltol>
+ </convergence_criterion>
+ <!-- convergence criterion for the second process -->
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>INFINITY_N</norm_type>
+ <abstol>1.e-4</abstol>
+ <reltol>1.e-10</reltol>
+ </convergence_criterion>
+ </convergence_criteria>
+ </global_process_coupling>
+ <processes>
+ <process ref="PhaseField">
+ <nonlinear_solver>basic_newton_u</nonlinear_solver>
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>NORM2</norm_type>
+ <reltol>1.e-12</reltol>
+ </convergence_criterion>
+ <time_discretization>
+ <type>BackwardEuler</type>
+ </time_discretization>
+
+ <time_stepping>
+ <type>FixedTimeStepping</type>
+ <t_initial>0</t_initial>
+ <t_end>1.01</t_end>
+ <timesteps>
+ <pair>
+ <repeat>100</repeat>
+ <delta_t>0.05</delta_t>
+ </pair>
+ </timesteps>
+ </time_stepping>
+ </process>
+ <process ref="PhaseField">
+ <nonlinear_solver>petsc_snes</nonlinear_solver>
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>NORM2</norm_type>
+ <reltol>1.e-14</reltol>
+ </convergence_criterion>
+ <time_discretization>
+ <type>BackwardEuler</type>
+ </time_discretization>
+ <time_stepping>
+ <type>FixedTimeStepping</type>
+ <t_initial>0</t_initial>
+ <t_end>1.01</t_end>
+ <timesteps>
+ <pair>
+ <repeat>100</repeat>
+ <delta_t>0.05</delta_t>
+ </pair>
+ </timesteps>
+ </time_stepping>
+ </process>
+ </processes>
+ <output>
+ <variables>
+ <variable>displacement</variable>
+ <variable>phasefield</variable>
+ </variables>
+ <type>VTK</type>
+ <prefix>me01_ext_2D_para</prefix>
+ <timesteps>
+ <pair>
+ <repeat>100</repeat>
+ <each_steps>1</each_steps>
+ </pair>
+ <pair>
+ <repeat>10</repeat>
+ <each_steps>1</each_steps>
+ </pair>
+ <!--<pair><repeat>50</repeat><each_steps>100</each_steps></pair>-->
+ </timesteps>
+ </output>
+ </time_loop>
+ <parameters>
+ <!-- Mechanics -->
+ <parameter>
+ <name>E</name>
+ <type>Constant</type>
+ <value>30e9</value>
+ </parameter>
+ <parameter>
+ <name>nu</name>
+ <type>Constant</type>
+ <value>0.22</value>
+ </parameter>
+ <parameter>
+ <name>k</name>
+ <type>Constant</type>
+ <value>1e-8</value>
+ </parameter>
+ <parameter>
+ <name>gc</name>
+<!-- <type>Constant</type>
+ <value>100</value> -->
+ <type>MeshElement</type>
+ <field_name>Gc</field_name>
+ </parameter>
+ <parameter>
+ <name>ls</name>
+ <type>Constant</type>
+ <value>0.0005</value>
+ </parameter>
+ <parameter>
+ <name>H</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+ <parameter>
+ <name>rho_sr</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+ <parameter>
+ <name>displacement0</name>
+ <type>Constant</type>
+ <values>0 0</values>
+ </parameter>
+ <parameter>
+ <name>phasefield_ic</name>
+<!-- <type>MeshNode</type>
+ <field_name>pf-ic</field_name> -->
+ <type>Constant</type>
+ <value>1</value>
+ </parameter>
+ <parameter>
+ <name>phasefield_bc</name>
+ <type>Constant</type>
+ <value>1</value>
+ </parameter>
+ <parameter>
+ <name>dirichlet0</name>
+ <type>Constant</type>
+ <value>0</value>
+ </parameter>
+ <parameter>
+ <name>dirichlet_right</name>
+ <type>Constant</type>
+ <value>-30.0</value>
+ </parameter>
+ <parameter>
+ <name>dirichlet_top</name>
+ <type>Constant</type>
+ <value>-15.0</value>
+ </parameter>
+ <parameter>
+ <name>force_top</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+ <parameter>
+ <name>force_right</name>
+ <type>Constant</type>
+ <value>-5</value>
+ </parameter>
+ <parameter>
+ <name>M</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+ <parameter>
+ <name>dirichlet_top_y</name>
+ <type>CurveScaled</type>
+ <curve>dirichlet_time</curve>
+ <parameter>dirichlet_load</parameter>
+ </parameter>
+ <parameter>
+ <name>dirichlet_load</name>
+ <type>Constant</type>
+ <value>1</value>
+ </parameter>
+ </parameters>
+ <curves>
+ <curve>
+ <name>dirichlet_time</name>
+ <coords>0 1.0 </coords>
+ <!-- 2.91946, 2.93516-2.93536 AT1 -->
+ <values>0 -185.e-6</values>
+ </curve>
+ </curves>
+ <process_variables>
+ <process_variable>
+ <name>displacement</name>
+ <components>2</components>
+ <order>1</order>
+ <initial_condition>displacement0</initial_condition>
+ <boundary_conditions>
+ <boundary_condition>
+ <mesh>me1_2D_p_0</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>me1_2D_p_0</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>me1_2D_p_1</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>me1_2D_p_3</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>dirichlet_top_y</parameter>
+ </boundary_condition>
+ </boundary_conditions>
+ </process_variable>
+ <process_variable>
+ <name>phasefield</name>
+ <components>1</components>
+ <order>1</order>
+ <initial_condition>phasefield_ic</initial_condition>
+ <boundary_conditions>
+ <boundary_condition>
+ <mesh>me1_2D_top</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>phasefield_bc</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>me1_2D_bottom</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>phasefield_bc</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>me1_2D_left</mesh>
+ <type>PhaseFieldIrreversibleDamageOracleBoundaryCondition</type>
+ <component>0</component>
+ </boundary_condition>
+ </boundary_conditions>
+ </process_variable>
+ </process_variables>
+ <nonlinear_solvers>
+ <nonlinear_solver>
+ <name>petsc_snes</name>
+ <type>PETScSNES</type>
+ <max_iter>50</max_iter>
+ <linear_solver>linear_solver_d</linear_solver>
+ </nonlinear_solver>
+ <nonlinear_solver>
+ <name>basic_newton_u</name>
+ <type>Newton</type>
+ <max_iter>200</max_iter>
+ <linear_solver>linear_solver_u</linear_solver>
+ </nonlinear_solver>
+ </nonlinear_solvers>
+ <linear_solvers>
+ <linear_solver>
+ <name>linear_solver_d</name>
+ <eigen>
+ <solver_type>BiCGSTAB</solver_type>
+ <precon_type>ILUT</precon_type>
+ <max_iteration_step>10000</max_iteration_step>
+ <error_tolerance>1e-16</error_tolerance>
+ </eigen>
+ <petsc>
+ <parameters>-ksp_type cg -pc_type bjacobi -ksp_atol 1e-10 -ksp_rtol 1e-8 -snes_type vinewtonssls -snes_linesearch_type l2 -snes_atol 1.e-8 -snes_rtol 1.e-8 -snes_max_it 1000 -snes_monitor </parameters>
+ </petsc>
+ </linear_solver>
+ <linear_solver>
+ <name>linear_solver_u</name>
+ <!--eigen>
+ <solver_type>BiCGSTAB</solver_type>
+ <precon_type>ILUT</precon_type>
+ <max_iteration_step>10000</max_iteration_step>
+ <error_tolerance>1e-16</error_tolerance>
+ </eigen>-->
+ <petsc>
+ <!-- <parameters>-ksp_type cg -pc_type none -ksp_atol 1e-10 -ksp_rtol 1e-8 </parameters> -->
+ <parameters>-ksp_type cg -pc_type hypre -pc_hypre_type boomeramg -pc_hypre_boomeramg_strong_threshold 0.7 -ksp_atol 1e-16 -ksp_rtol 1e-16 </parameters>
+ </petsc>
+ </linear_solver>
+ </linear_solvers>
+</OpenGeoSysProject>
diff --git a/Tests/Data/PhaseField/ME01_ext_2D_para.vtu b/Tests/Data/PhaseField/ME01_ext_2D_para.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..cc846340b02b301a59e2394b12fcd77a98c64fee
Binary files /dev/null and b/Tests/Data/PhaseField/ME01_ext_2D_para.vtu differ
diff --git a/Tests/Data/PhaseField/me1_2D_bottom.vtu b/Tests/Data/PhaseField/me1_2D_bottom.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..5d85130ae7a08db9cb8b883ef6c0f24c186efe2e
--- /dev/null
+++ b/Tests/Data/PhaseField/me1_2D_bottom.vtu
@@ -0,0 +1,33 @@
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diff --git a/Tests/Data/PhaseField/me1_2D_left.vtu b/Tests/Data/PhaseField/me1_2D_left.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..a8ab3d12ae9eaa0cbb489cbbf3ed9132b18bce80
--- /dev/null
+++ b/Tests/Data/PhaseField/me1_2D_left.vtu
@@ -0,0 +1,33 @@
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diff --git a/Tests/Data/PhaseField/me1_2D_p_0.vtu b/Tests/Data/PhaseField/me1_2D_p_0.vtu
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diff --git a/Tests/Data/PhaseField/me1_2D_p_1.vtu b/Tests/Data/PhaseField/me1_2D_p_1.vtu
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diff --git a/Tests/Data/PhaseField/me1_2D_p_2.vtu b/Tests/Data/PhaseField/me1_2D_p_2.vtu
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diff --git a/Tests/Data/PhaseField/me1_2D_p_3.vtu b/Tests/Data/PhaseField/me1_2D_p_3.vtu
new file mode 100644
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new file mode 100644
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diff --git a/Tests/Data/PhaseField/me1_2D_top.vtu b/Tests/Data/PhaseField/me1_2D_top.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..ef795158a971bbfee23566a5cb9b0e2d9567ad73
--- /dev/null
+++ b/Tests/Data/PhaseField/me1_2D_top.vtu
@@ -0,0 +1,33 @@
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diff --git a/Tests/Data/PhaseField/me2_pf_case1.prj b/Tests/Data/PhaseField/me2_pf_case1.prj
new file mode 100644
index 0000000000000000000000000000000000000000..a2b04c3957ad24e8febc89b85a742f650fd1acb1
--- /dev/null
+++ b/Tests/Data/PhaseField/me2_pf_case1.prj
@@ -0,0 +1,425 @@
+<?xml version="1.0" encoding="ISO-8859-1"?>
+<OpenGeoSysProject>
+ <meshes>
+ <mesh>ME2_quarter_prop_rev2.vtu</mesh>
+ <mesh>BC_nearX.vtu</mesh>
+ <mesh>BC_nearY.vtu</mesh>
+ <mesh>BC_farX.vtu</mesh>
+ <mesh>BC_farY.vtu</mesh>
+ <mesh>BC_bottom.vtu</mesh>
+ <mesh>BC_top.vtu</mesh>
+ </meshes>
+
+ <processes>
+ <process>
+ <name>PhaseField</name>
+ <type>PHASE_FIELD</type>
+ <coupling_scheme>staggered</coupling_scheme>
+ <hydro_crack_scheme>propagating</hydro_crack_scheme>
+ <at_num>1</at_num>
+ <split_method>2</split_method>
+ <reg_param>-1.e-5</reg_param>
+ <integration_order>2</integration_order>
+ <constitutive_relation>
+ <type>LinearElasticIsotropic</type>
+ <youngs_modulus>E</youngs_modulus>
+ <poissons_ratio>nu</poissons_ratio>
+ </constitutive_relation>
+ <phasefield_parameters>
+ <residual_stiffness>k</residual_stiffness>
+ <crack_resistance>gc</crack_resistance>
+ <crack_length_scale>ls</crack_length_scale>
+ <kinetic_coefficient>M</kinetic_coefficient>
+ <history_field>H</history_field>
+ </phasefield_parameters>
+ <solid_density>rho_sr</solid_density>
+ <process_variables>
+ <phasefield>phasefield</phasefield>
+ <displacement>displacement</displacement>
+ </process_variables>
+ <secondary_variables>
+ <secondary_variable type="static" internal_name="sigma" output_name="sigma"/>
+ <secondary_variable type="static" internal_name="epsilon" output_name="epsilon"/>
+ </secondary_variables>
+ <specific_body_force>0 0 0</specific_body_force>
+ </process>
+ </processes>
+
+ <time_loop>
+ <global_process_coupling>
+ <max_iter> 1000 </max_iter>
+ <convergence_criteria>
+ <!-- convergence criterion for the first process -->
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>INFINITY_N</norm_type>
+ <abstol>1.e-1</abstol>
+ <reltol>1.e-1</reltol>
+ </convergence_criterion>
+ <!-- convergence criterion for the second process -->
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>INFINITY_N</norm_type>
+ <abstol>1.e-4</abstol>
+ <reltol>1.e-10</reltol>
+ </convergence_criterion>
+ </convergence_criteria>
+ </global_process_coupling>
+ <processes>
+ <process ref="PhaseField">
+ <nonlinear_solver>basic_newton_u</nonlinear_solver>
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>NORM2</norm_type>
+ <reltol>1.e-2</reltol>
+ </convergence_criterion>
+ <time_discretization>
+ <type>BackwardEuler</type>
+ </time_discretization>
+ <time_stepping>
+ <type>FixedTimeStepping</type>
+ <t_initial>0</t_initial>
+ <t_end>1.0</t_end>
+ <timesteps>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>1.e-3</delta_t>
+ </pair>
+ <pair>
+ <repeat>10</repeat>
+ <delta_t>1.e-4</delta_t>
+ </pair>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>1.e-3</delta_t>
+ </pair>
+ </timesteps>
+ </time_stepping>
+ </process>
+
+ <process ref="PhaseField">
+ <nonlinear_solver>petsc_snes</nonlinear_solver>
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>NORM2</norm_type>
+ <reltol>1.e-10</reltol>
+ </convergence_criterion>
+ <time_discretization>
+ <type>BackwardEuler</type>
+ </time_discretization>
+ <time_stepping>
+ <type>FixedTimeStepping</type>
+ <t_initial>0</t_initial>
+ <t_end>1.0</t_end>
+ <timesteps>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>1.e-3</delta_t>
+ </pair>
+ <pair>
+ <repeat>10</repeat>
+ <delta_t>1.e-4</delta_t>
+ </pair>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>1.e-3</delta_t>
+ </pair>
+ </timesteps>
+ </time_stepping>
+ </process>
+ </processes>
+ <output>
+ <type>VTK</type>
+ <prefix>ME2_miehe_case1</prefix>
+ <variables>
+ <variable>displacement</variable>
+ <variable>phasefield</variable>
+ </variables>
+ <timesteps>
+ <pair>
+ <repeat>10</repeat>
+ <each_steps>1</each_steps>
+ </pair>
+ <pair>
+ <repeat>10</repeat>
+ <each_steps>1</each_steps>
+ </pair>
+ </timesteps>
+ </output>
+ </time_loop>
+
+ <parameters>
+ <parameter>
+ <name>E</name>
+ <type>Constant</type>
+ <value>1.</value>
+ </parameter>
+ <parameter>
+ <name>nu</name>
+ <type>Constant</type>
+ <value>0.175</value>
+ </parameter>
+ <parameter>
+ <name>k</name>
+ <type>Constant</type>
+ <value>1e-8</value>
+ </parameter>
+ <parameter>
+ <name>gc</name>
+<!-- <type>Constant</type>
+ <value>1.</value> -->
+ <type>MeshElement</type>
+ <field_name>Gc</field_name>
+ </parameter>
+ <parameter>
+ <name>ls</name>
+ <type>Constant</type>
+ <value>0.0075</value>
+ </parameter>
+ <parameter>
+ <name>rho_sr</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+ <parameter>
+ <name>H</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+ <parameter>
+ <name>M</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+ <parameter>
+ <name>displacement_zero</name>
+ <type>Constant</type>
+ <values>0 0 0</values>
+ </parameter>
+
+ <parameter>
+ <name>dirichlet0</name>
+ <type>Constant</type>
+ <value>0.</value>
+ </parameter>
+
+ <parameter>
+ <name>phasefield_ic</name>
+ <type>MeshNode</type>
+ <field_name>phase-field</field_name>
+ <!--type>Constant</type>
+ <value>1</value>-->
+ </parameter>
+ <parameter>
+ <name>phasefield_bc</name>
+ <type>Constant</type>
+ <value>1.0</value>
+ </parameter>
+
+ <parameter>
+ <name>force_farX</name>
+ <type>Constant</type>
+ <value>-2.6</value>
+ </parameter>
+
+ <parameter>
+ <name>force_farY</name>
+ <type>Constant</type>
+ <value>-0.8</value>
+ </parameter>
+
+ <parameter>
+ <name>force_top</name>
+ <type>Constant</type>
+ <value>-0.</value>
+ </parameter>
+
+ <parameter>
+ <name>force_farX_t</name>
+ <type>CurveScaled</type>
+ <curve>force_time</curve>
+ <parameter>force_farX</parameter>
+ </parameter>
+ <parameter>
+ <name>force_farY_t</name>
+ <type>CurveScaled</type>
+ <curve>force_time</curve>
+ <parameter>force_farY</parameter>
+ </parameter>
+ </parameters>
+
+ <curves>
+ <curve>
+ <name>force_time</name>
+ <coords>0. 1.e-3 10.e-3</coords>
+ <values>0. 0.0 1.0</values>
+ </curve>
+ </curves>
+
+ <process_variables>
+
+
+ <process_variable>
+ <name>displacement</name>
+ <components>3</components>
+ <order>1</order>
+ <initial_condition>displacement_zero</initial_condition>
+ <boundary_conditions>
+
+ <boundary_condition>
+ <mesh>BC_nearX</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+
+ <boundary_condition>
+ <mesh>BC_farX</mesh>
+ <type>Neumann</type>
+ <component>0</component>
+ <parameter>force_farX_t</parameter>
+ </boundary_condition>
+
+ <boundary_condition>
+ <mesh>BC_nearY</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+
+ <boundary_condition>
+ <mesh>BC_farY</mesh>
+ <type>Neumann</type>
+ <component>1</component>
+ <parameter>force_farY_t</parameter>
+ </boundary_condition>
+
+<!-- <boundary_condition>
+ <mesh>BC_top</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>BC_top</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition> -->
+ <boundary_condition>
+ <mesh>BC_top</mesh>
+ <type>Neumann</type>
+ <component>2</component>
+ <parameter>force_top</parameter>
+ </boundary_condition>
+
+<!-- <boundary_condition>
+ <mesh>BC_bottom</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>BC_bottom</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition> -->
+ <boundary_condition>
+ <mesh>BC_bottom</mesh>
+ <type>Dirichlet</type>
+ <component>2</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+ </boundary_conditions>
+
+ </process_variable>
+
+ <process_variable>
+ <name>phasefield</name>
+ <components>1</components>
+ <order>1</order>
+ <initial_condition>phasefield_ic</initial_condition>
+ <boundary_conditions>
+
+ <boundary_condition>
+ <mesh>BC_top</mesh>
+ <type>PhaseFieldIrreversibleDamageOracleBoundaryCondition</type>
+ <component>0</component>
+ </boundary_condition>
+
+ <boundary_condition>
+ <mesh>BC_farX</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>phasefield_bc</parameter>
+ </boundary_condition>
+
+<!-- <boundary_condition>
+ <mesh>BC_nearY</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>phasefield_bc</parameter>
+ </boundary_condition> -->
+
+ <boundary_condition>
+ <mesh>BC_farY</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>phasefield_bc</parameter>
+ </boundary_condition>
+
+ <boundary_condition>
+ <mesh>BC_top</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>phasefield_bc</parameter>
+ </boundary_condition>
+
+ <boundary_condition>
+ <mesh>BC_bottom</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>phasefield_bc</parameter>
+ </boundary_condition>
+
+ </boundary_conditions>
+ </process_variable>
+ </process_variables>
+
+ <nonlinear_solvers>
+ <nonlinear_solver>
+ <name>petsc_snes</name>
+ <type>PETScSNES</type>
+ <max_iter>200</max_iter>
+ <linear_solver>linear_solver_d</linear_solver>
+ </nonlinear_solver>
+ <nonlinear_solver>
+ <name>basic_newton_u</name>
+ <type>Newton</type>
+ <max_iter>200</max_iter>
+ <linear_solver>linear_solver_u</linear_solver>
+ </nonlinear_solver>
+ </nonlinear_solvers>
+ <linear_solvers>
+ <linear_solver>
+ <name>linear_solver_d</name>
+ <eigen>
+ <solver_type>BiCGSTAB</solver_type>
+ <precon_type>ILUT</precon_type>
+ <max_iteration_step>10000</max_iteration_step>
+ <error_tolerance>1e-16</error_tolerance>
+ </eigen>
+ <petsc>
+ <parameters>-ksp_type cg -pc_type bjacobi -ksp_atol 1e-16 -ksp_rtol 1e-16 -snes_type vinewtonssls -snes_atol 1.e-4 -snes_rtol 1.e-4 -snes_max_it 10000 -snes_monitor -snes_divergence_tolerance 1e10 </parameters>
+ </petsc>
+ </linear_solver>
+ <linear_solver>
+ <name>linear_solver_u</name>
+ <petsc>
+ <parameters>-ksp_type cg -pc_type hypre -pc_hypre_type boomeramg -pc_hypre_boomeramg_strong_threshold 0.7 -ksp_atol 1e-12 -ksp_rtol 1e-12 </parameters>
+ </petsc>
+ </linear_solver>
+ </linear_solvers>
+
+</OpenGeoSysProject>
diff --git a/Tests/Data/PhaseField/me2_pf_case2.prj b/Tests/Data/PhaseField/me2_pf_case2.prj
new file mode 100644
index 0000000000000000000000000000000000000000..49ae83bcf840139679a68d7d1e2c47cc5ee0c094
--- /dev/null
+++ b/Tests/Data/PhaseField/me2_pf_case2.prj
@@ -0,0 +1,425 @@
+<?xml version="1.0" encoding="ISO-8859-1"?>
+<OpenGeoSysProject>
+ <meshes>
+ <mesh>ME2_quarter_prop_rev2.vtu</mesh>
+ <mesh>BC_nearX.vtu</mesh>
+ <mesh>BC_nearY.vtu</mesh>
+ <mesh>BC_farX.vtu</mesh>
+ <mesh>BC_farY.vtu</mesh>
+ <mesh>BC_bottom.vtu</mesh>
+ <mesh>BC_top.vtu</mesh>
+ </meshes>
+
+ <processes>
+ <process>
+ <name>PhaseField</name>
+ <type>PHASE_FIELD</type>
+ <coupling_scheme>staggered</coupling_scheme>
+ <hydro_crack_scheme>propagating</hydro_crack_scheme>
+ <at_num>1</at_num>
+ <split_method>2</split_method>
+ <reg_param>-1.e-5</reg_param>
+ <integration_order>2</integration_order>
+ <constitutive_relation>
+ <type>LinearElasticIsotropic</type>
+ <youngs_modulus>E</youngs_modulus>
+ <poissons_ratio>nu</poissons_ratio>
+ </constitutive_relation>
+ <phasefield_parameters>
+ <residual_stiffness>k</residual_stiffness>
+ <crack_resistance>gc</crack_resistance>
+ <crack_length_scale>ls</crack_length_scale>
+ <kinetic_coefficient>M</kinetic_coefficient>
+ <history_field>H</history_field>
+ </phasefield_parameters>
+ <solid_density>rho_sr</solid_density>
+ <process_variables>
+ <phasefield>phasefield</phasefield>
+ <displacement>displacement</displacement>
+ </process_variables>
+ <secondary_variables>
+ <secondary_variable type="static" internal_name="sigma" output_name="sigma"/>
+ <secondary_variable type="static" internal_name="epsilon" output_name="epsilon"/>
+ </secondary_variables>
+ <specific_body_force>0 0 0</specific_body_force>
+ </process>
+ </processes>
+
+ <time_loop>
+ <global_process_coupling>
+ <max_iter> 1000 </max_iter>
+ <convergence_criteria>
+ <!-- convergence criterion for the first process -->
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>INFINITY_N</norm_type>
+ <abstol>1.e-1</abstol>
+ <reltol>1.e-1</reltol>
+ </convergence_criterion>
+ <!-- convergence criterion for the second process -->
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>INFINITY_N</norm_type>
+ <abstol>1.e-4</abstol>
+ <reltol>1.e-10</reltol>
+ </convergence_criterion>
+ </convergence_criteria>
+ </global_process_coupling>
+ <processes>
+ <process ref="PhaseField">
+ <nonlinear_solver>basic_newton_u</nonlinear_solver>
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>NORM2</norm_type>
+ <reltol>1.e-5</reltol>
+ </convergence_criterion>
+ <time_discretization>
+ <type>BackwardEuler</type>
+ </time_discretization>
+ <time_stepping>
+ <type>FixedTimeStepping</type>
+ <t_initial>0</t_initial>
+ <t_end>1.0</t_end>
+ <timesteps>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>1.e-3</delta_t>
+ </pair>
+ <pair>
+ <repeat>10</repeat>
+ <delta_t>1.e-3</delta_t>
+ </pair>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>1.e-3</delta_t>
+ </pair>
+ </timesteps>
+ </time_stepping>
+ </process>
+
+ <process ref="PhaseField">
+ <nonlinear_solver>petsc_snes</nonlinear_solver>
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>NORM2</norm_type>
+ <reltol>1.e-10</reltol>
+ </convergence_criterion>
+ <time_discretization>
+ <type>BackwardEuler</type>
+ </time_discretization>
+ <time_stepping>
+ <type>FixedTimeStepping</type>
+ <t_initial>0</t_initial>
+ <t_end>1.0</t_end>
+ <timesteps>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>1.e-3</delta_t>
+ </pair>
+ <pair>
+ <repeat>10</repeat>
+ <delta_t>1.e-3</delta_t>
+ </pair>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>1.e-3</delta_t>
+ </pair>
+ </timesteps>
+ </time_stepping>
+ </process>
+ </processes>
+ <output>
+ <type>VTK</type>
+ <prefix>ME2_miehe_case2</prefix>
+ <variables>
+ <variable>displacement</variable>
+ <variable>phasefield</variable>
+ </variables>
+ <timesteps>
+ <pair>
+ <repeat>10</repeat>
+ <each_steps>1</each_steps>
+ </pair>
+ <pair>
+ <repeat>10</repeat>
+ <each_steps>1</each_steps>
+ </pair>
+ </timesteps>
+ </output>
+ </time_loop>
+
+ <parameters>
+ <parameter>
+ <name>E</name>
+ <type>Constant</type>
+ <value>1.</value>
+ </parameter>
+ <parameter>
+ <name>nu</name>
+ <type>Constant</type>
+ <value>0.175</value>
+ </parameter>
+ <parameter>
+ <name>k</name>
+ <type>Constant</type>
+ <value>1e-8</value>
+ </parameter>
+ <parameter>
+ <name>gc</name>
+<!-- <type>Constant</type>
+ <value>1.</value> -->
+ <type>MeshElement</type>
+ <field_name>Gc</field_name>
+ </parameter>
+ <parameter>
+ <name>ls</name>
+ <type>Constant</type>
+ <value>0.0075</value>
+ </parameter>
+ <parameter>
+ <name>rho_sr</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+ <parameter>
+ <name>H</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+ <parameter>
+ <name>M</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+ <parameter>
+ <name>displacement_zero</name>
+ <type>Constant</type>
+ <values>0 0 0</values>
+ </parameter>
+
+ <parameter>
+ <name>dirichlet0</name>
+ <type>Constant</type>
+ <value>0.</value>
+ </parameter>
+
+ <parameter>
+ <name>phasefield_ic</name>
+ <type>MeshNode</type>
+ <field_name>phase-field</field_name>
+ <!--type>Constant</type>
+ <value>1</value>-->
+ </parameter>
+ <parameter>
+ <name>phasefield_bc</name>
+ <type>Constant</type>
+ <value>1.0</value>
+ </parameter>
+
+ <parameter>
+ <name>force_farX</name>
+ <type>Constant</type>
+ <value>-0.0</value>
+ </parameter>
+
+ <parameter>
+ <name>force_farY</name>
+ <type>Constant</type>
+ <value>-2.2</value>
+ </parameter>
+
+ <parameter>
+ <name>force_top</name>
+ <type>Constant</type>
+ <value>-3.</value>
+ </parameter>
+
+ <parameter>
+ <name>force_farX_t</name>
+ <type>CurveScaled</type>
+ <curve>force_time</curve>
+ <parameter>force_farX</parameter>
+ </parameter>
+ <parameter>
+ <name>force_farY_t</name>
+ <type>CurveScaled</type>
+ <curve>force_time</curve>
+ <parameter>force_farY</parameter>
+ </parameter>
+ </parameters>
+
+ <curves>
+ <curve>
+ <name>force_time</name>
+ <coords>0. 2.e-3</coords>
+ <values>0. 1.0</values>
+ </curve>
+ </curves>
+
+ <process_variables>
+
+
+ <process_variable>
+ <name>displacement</name>
+ <components>3</components>
+ <order>1</order>
+ <initial_condition>displacement_zero</initial_condition>
+ <boundary_conditions>
+
+ <boundary_condition>
+ <mesh>BC_nearX</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+
+ <boundary_condition>
+ <mesh>BC_farX</mesh>
+ <type>Neumann</type>
+ <component>0</component>
+ <parameter>force_farX_t</parameter>
+ </boundary_condition>
+
+ <boundary_condition>
+ <mesh>BC_nearY</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+
+ <boundary_condition>
+ <mesh>BC_farY</mesh>
+ <type>Neumann</type>
+ <component>1</component>
+ <parameter>force_farY_t</parameter>
+ </boundary_condition>
+
+<!-- <boundary_condition>
+ <mesh>BC_top</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>BC_top</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition> -->
+ <boundary_condition>
+ <mesh>BC_top</mesh>
+ <type>Neumann</type>
+ <component>2</component>
+ <parameter>force_top</parameter>
+ </boundary_condition>
+
+<!-- <boundary_condition>
+ <mesh>BC_bottom</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>BC_bottom</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition> -->
+ <boundary_condition>
+ <mesh>BC_bottom</mesh>
+ <type>Dirichlet</type>
+ <component>2</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+ </boundary_conditions>
+
+ </process_variable>
+
+ <process_variable>
+ <name>phasefield</name>
+ <components>1</components>
+ <order>1</order>
+ <initial_condition>phasefield_ic</initial_condition>
+ <boundary_conditions>
+
+ <boundary_condition>
+ <mesh>BC_top</mesh>
+ <type>PhaseFieldIrreversibleDamageOracleBoundaryCondition</type>
+ <component>0</component>
+ </boundary_condition>
+
+ <boundary_condition>
+ <mesh>BC_farX</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>phasefield_bc</parameter>
+ </boundary_condition>
+
+<!-- <boundary_condition>
+ <mesh>BC_nearY</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>phasefield_bc</parameter>
+ </boundary_condition> -->
+
+ <boundary_condition>
+ <mesh>BC_farY</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>phasefield_bc</parameter>
+ </boundary_condition>
+
+ <boundary_condition>
+ <mesh>BC_top</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>phasefield_bc</parameter>
+ </boundary_condition>
+
+ <boundary_condition>
+ <mesh>BC_bottom</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>phasefield_bc</parameter>
+ </boundary_condition>
+
+ </boundary_conditions>
+ </process_variable>
+ </process_variables>
+
+ <nonlinear_solvers>
+ <nonlinear_solver>
+ <name>petsc_snes</name>
+ <type>PETScSNES</type>
+ <max_iter>200</max_iter>
+ <linear_solver>linear_solver_d</linear_solver>
+ </nonlinear_solver>
+ <nonlinear_solver>
+ <name>basic_newton_u</name>
+ <type>Newton</type>
+ <max_iter>200</max_iter>
+ <linear_solver>linear_solver_u</linear_solver>
+ </nonlinear_solver>
+ </nonlinear_solvers>
+ <linear_solvers>
+ <linear_solver>
+ <name>linear_solver_d</name>
+ <eigen>
+ <solver_type>BiCGSTAB</solver_type>
+ <precon_type>ILUT</precon_type>
+ <max_iteration_step>10000</max_iteration_step>
+ <error_tolerance>1e-16</error_tolerance>
+ </eigen>
+ <petsc>
+ <parameters>-ksp_type cg -pc_type bjacobi -ksp_atol 1e-16 -ksp_rtol 1e-16 -snes_type vinewtonssls -snes_atol 1.e-4 -snes_rtol 1.e-4 -snes_max_it 10000 -snes_monitor -snes_divergence_tolerance 1e10 </parameters>
+ </petsc>
+ </linear_solver>
+ <linear_solver>
+ <name>linear_solver_u</name>
+ <petsc>
+ <parameters>-ksp_type cg -pc_type hypre -pc_hypre_type boomeramg -pc_hypre_boomeramg_strong_threshold 0.7 -ksp_atol 1e-12 -ksp_rtol 1e-12 </parameters>
+ </petsc>
+ </linear_solver>
+ </linear_solvers>
+
+</OpenGeoSysProject>
diff --git a/Tests/Data/PhaseField/tpb_rgranite.prj b/Tests/Data/PhaseField/tpb_rgranite.prj
new file mode 100644
index 0000000000000000000000000000000000000000..a84e6de733e57152d0bb993dcaff8092f2f2a154
--- /dev/null
+++ b/Tests/Data/PhaseField/tpb_rgranite.prj
@@ -0,0 +1,382 @@
+<?xml version="1.0" encoding="ISO-8859-1"?>
+<OpenGeoSysProject>
+ <meshes>
+ <mesh>TPB_RGranite_small_rev8.vtu</mesh>
+ <mesh>BC_TPB_tamper1.vtu</mesh>
+ <mesh>BC_TPB_tamper2.vtu</mesh>
+ <mesh>BC_TPB_bot_dx.vtu</mesh>
+ <mesh>BC_TPB_bot_sx.vtu</mesh>
+ <mesh>BC_LinearElastic_rev8.vtu</mesh>
+ </meshes>
+
+
+ <processes>
+ <process>
+ <name>PhaseField</name>
+ <type>PHASE_FIELD</type>
+ <coupling_scheme>staggered</coupling_scheme>
+ <at_num>2</at_num>
+ <integration_order>2</integration_order>
+ <constitutive_relation>
+ <type>LinearElasticIsotropic</type>
+ <youngs_modulus>E</youngs_modulus>
+ <poissons_ratio>nu</poissons_ratio>
+ </constitutive_relation>
+ <phasefield_parameters>
+ <residual_stiffness>k</residual_stiffness>
+ <crack_resistance>gc</crack_resistance>
+ <crack_length_scale>ls</crack_length_scale>
+ <kinetic_coefficient>M</kinetic_coefficient>
+ <history_field>H</history_field>
+ </phasefield_parameters>
+
+ <solid_density>rho_sr</solid_density>
+ <process_variables>
+ <phasefield>phasefield</phasefield>
+ <displacement>displacement</displacement>
+ </process_variables>
+ <secondary_variables>
+ <secondary_variable type="static" internal_name="sigma" output_name="sigma"/>
+ <secondary_variable type="static" internal_name="epsilon" output_name="epsilon"/>
+ </secondary_variables>
+ <specific_body_force>0 0 0</specific_body_force>
+ </process>
+ </processes>
+
+ <time_loop>
+ <global_process_coupling>
+ <max_iter> 1000 </max_iter>
+ <convergence_criteria>
+ <!-- convergence criterion for the first process -->
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>INFINITY_N</norm_type>
+ <abstol>1.e-1</abstol>
+ <reltol>1.e-1</reltol>
+ </convergence_criterion>
+ <!-- convergence criterion for the second process -->
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>INFINITY_N</norm_type>
+ <abstol>1.e-4</abstol>
+ <reltol>1.e-10</reltol>
+ </convergence_criterion>
+ </convergence_criteria>
+ </global_process_coupling>
+ <processes>
+ <process ref="PhaseField">
+ <nonlinear_solver>basic_newton_u</nonlinear_solver>
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>NORM2</norm_type>
+ <reltol>1.e-10</reltol>
+ </convergence_criterion>
+ <time_discretization>
+ <type>BackwardEuler</type>
+ </time_discretization>
+ <time_stepping>
+ <type>FixedTimeStepping</type>
+ <t_initial>0</t_initial>
+ <t_end>1.0</t_end>
+ <timesteps>
+ <pair>
+ <repeat>10000</repeat>
+ <delta_t>0.01</delta_t>
+ </pair>
+ </timesteps>
+ </time_stepping>
+ </process>
+ <process ref="PhaseField">
+ <nonlinear_solver>petsc_snes</nonlinear_solver>
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>NORM2</norm_type>
+ <reltol>1.e-10</reltol>
+ </convergence_criterion>
+ <time_discretization>
+ <type>BackwardEuler</type>
+ </time_discretization>
+ <time_stepping>
+ <type>FixedTimeStepping</type>
+ <t_initial>0</t_initial>
+ <t_end>1.0</t_end>
+ <timesteps>
+ <pair>
+ <repeat>10000</repeat>
+ <delta_t>0.01</delta_t>
+ </pair>
+ </timesteps>
+ </time_stepping>
+ </process>
+ </processes>
+ <output>
+ <type>VTK</type>
+ <prefix>Rockville_AT1</prefix>
+ <variables>
+ <variable>displacement</variable>
+ <variable>sigma</variable>
+ <variable>epsilon</variable>
+ <variable>phasefield</variable>
+ </variables>
+ <timesteps>
+ <pair>
+ <repeat>100</repeat>
+ <each_steps>1</each_steps>
+ </pair>
+ <pair>
+ <repeat>10</repeat>
+ <each_steps>1</each_steps>
+ </pair>
+ </timesteps>
+ </output>
+ </time_loop>
+
+ <parameters>
+ <parameter>
+ <name>E</name>
+ <type>Constant</type>
+ <value>1.0</value>
+ </parameter>
+ <parameter>
+ <name>nu</name>
+ <type>Constant</type>
+ <value>0.175</value>
+ </parameter>
+ <parameter>
+ <name>k</name>
+ <type>Constant</type>
+ <value>1e-8</value>
+ </parameter>
+ <parameter>
+ <name>gc</name>
+ <type>Constant</type>
+ <value>1.</value>
+ <!--type>MeshElement</type>
+ <field_name>Gc</field_name>-->
+ </parameter>
+ <parameter>
+ <name>ls</name>
+ <type>Constant</type>
+ <value>0.0015</value>
+ </parameter>
+ <parameter>
+ <name>H</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+ <parameter>
+ <name>rho_sr</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+ <parameter>
+ <name>M</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+
+ <parameter>
+ <name>displacement0</name>
+ <type>Constant</type>
+ <values>0 0 0</values>
+ </parameter>
+
+ <parameter>
+ <name>Dirichlet_left_x</name>
+ <type>Constant</type>
+ <value>0.</value>
+ </parameter>
+ <parameter>
+ <name>Dirichlet_left_y</name>
+ <type>Constant</type>
+ <value>0.</value>
+ </parameter>
+ <parameter>
+ <name>Dirichlet_left_z</name>
+ <type>Constant</type>
+ <value>0.</value>
+ </parameter>
+ <parameter>
+ <name>Dirichlet_right_y</name>
+ <type>Constant</type>
+ <value>0.</value>
+ </parameter>
+ <parameter>
+ <name>Dirichlet_front</name>
+ <type>Constant</type>
+ <value>0.</value>
+ </parameter>
+
+ <parameter>
+ <name>Dirichlet_top_spatial</name>
+ <type>Constant</type>
+ <value>1</value>
+ </parameter>
+
+ <parameter>
+ <name>Dirichlet_top</name>
+ <type>CurveScaled</type>
+ <curve>Dirichlet_top_temporal</curve>
+ <parameter>Dirichlet_top_spatial</parameter>
+ </parameter>
+
+ <parameter>
+ <name>phasefield_ic</name>
+ <type>MeshNode</type>
+ <field_name>pf-ic</field_name>
+ <!--type>Constant</type>
+ <value>1</value>-->
+ </parameter>
+ <parameter>
+ <name>phasefield_bc</name>
+ <type>Constant</type>
+ <value>1.0</value>
+ </parameter>
+ </parameters>
+
+ <curves>
+ <curve>
+ <name>Dirichlet_top_temporal</name>
+ <coords>0. 1.</coords>
+ <values>0. -3.0</values>
+ </curve>
+
+ </curves>
+
+ <process_variables>
+ <process_variable>
+ <name>displacement</name>
+ <components>3</components>
+ <order>1</order>
+
+ <initial_condition>displacement0</initial_condition>
+
+ <boundary_conditions>
+ <!-- fixed boundaries -->
+ <!--boundary_condition>
+ <mesh>BC_TPB_bot_sx</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>Dirichlet_left_x</parameter>
+ </boundary_condition>-->
+
+ <boundary_condition>
+ <mesh>BC_TPB_bot_sx</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>Dirichlet_left_y</parameter>
+ </boundary_condition>
+
+ <boundary_condition>
+ <mesh>BC_TPB_bot_sx</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>Dirichlet_left_y</parameter>
+ </boundary_condition>
+ <!--boundary_condition>
+ <mesh>BC_TPB_p1</mesh>
+ <type>Dirichlet</type>
+ <component>2</component>
+ <parameter>Dirichlet_left_z</parameter>
+ </boundary_condition>-->
+
+ <!--boundary_condition>
+ <mesh>BC_TPB_p3</mesh>
+ <type>Dirichlet</type>
+ <component>2</component>
+ <parameter>Dirichlet_left_z</parameter>
+ </boundary_condition>-->
+
+
+ <boundary_condition>
+ <mesh>BC_TPB_bot_dx</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>Dirichlet_right_y</parameter>
+ </boundary_condition>
+
+ <boundary_condition>
+ <mesh>BC_TPB_tamper1</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>Dirichlet_top</parameter>
+ </boundary_condition>
+
+ <boundary_condition>
+ <mesh>BC_TPB_tamper2</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>Dirichlet_top</parameter>
+ </boundary_condition>
+
+ </boundary_conditions>
+
+ </process_variable>
+
+ <process_variable>
+ <name>phasefield</name>
+ <components>1</components>
+ <order>1</order>
+ <initial_condition>phasefield_ic</initial_condition>
+ <boundary_conditions>
+
+ <!--boundary_condition>
+ <mesh>BC_TPB_bot_dx</mesh>
+ <type>PhaseFieldIrreversibleDamageOracleBoundaryCondition</type>
+ <component>0</component>
+ </boundary_condition>-->
+
+ <!--boundary_condition>
+ <mesh>BC_TPB_tamper</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>phasefield_bc</parameter>
+ </boundary_condition>-->
+
+ <boundary_condition>
+ <mesh>BC_LinearElastic_rev8</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>phasefield_bc</parameter>
+ </boundary_condition>
+
+ </boundary_conditions>
+ </process_variable>
+ </process_variables>
+
+ <nonlinear_solvers>
+ <nonlinear_solver>
+ <name>petsc_snes</name>
+ <type>PETScSNES</type>
+ <max_iter>200</max_iter>
+ <linear_solver>linear_solver_d</linear_solver>
+ </nonlinear_solver>
+ <nonlinear_solver>
+ <name>basic_newton_u</name>
+ <type>Newton</type>
+ <max_iter>200</max_iter>
+ <linear_solver>linear_solver_u</linear_solver>
+ </nonlinear_solver>
+ </nonlinear_solvers>
+ <linear_solvers>
+ <linear_solver>
+ <name>linear_solver_d</name>
+ <eigen>
+ <solver_type>BiCGSTAB</solver_type>
+ <precon_type>ILUT</precon_type>
+ <max_iteration_step>10000</max_iteration_step>
+ <error_tolerance>1e-16</error_tolerance>
+ </eigen>
+ <petsc>
+ <parameters>-ksp_type cg -pc_type bjacobi -ksp_atol 1e-6 -ksp_rtol 1e-8 -snes_type vinewtonssls -snes_linesearch_type l2 -snes_atol 1.e-6 -snes_rtol 1.e-6 -snes_max_it 1000 -snes_monitor</parameters>
+ </petsc>
+ </linear_solver>
+ <linear_solver>
+ <name>linear_solver_u</name>
+ <petsc>
+ <parameters>-ksp_type cg -pc_type bjacobi -ksp_atol 1e-6 -ksp_rtol 1e-8 </parameters>
+ </petsc>
+ </linear_solver>
+ </linear_solvers>
+
+</OpenGeoSysProject>
diff --git a/web/content/docs/benchmarks/phase-field/ME1_ext_2D_orth_result.png b/web/content/docs/benchmarks/phase-field/ME1_ext_2D_orth_result.png
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diff --git a/web/content/docs/benchmarks/phase-field/Yoshioka_percolation.pdf b/web/content/docs/benchmarks/phase-field/Yoshioka_percolation.pdf
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diff --git a/web/content/docs/benchmarks/phase-field/pf_perc.pandoc b/web/content/docs/benchmarks/phase-field/pf_perc.pandoc
new file mode 100644
index 0000000000000000000000000000000000000000..7ea612737b308a4dd65ff7dfef1c3fbb7c568616
--- /dev/null
+++ b/web/content/docs/benchmarks/phase-field/pf_perc.pandoc
@@ -0,0 +1,27 @@
++++
+project = "PhaseField/me2_pf_case1.prj"
+author = "Keita Yoshioka"
+date = "2017-05-19T09:10:33+01:00"
+title = "Fluid driven percolation"
+weight = 158
+
+[menu]
+ [menu.benchmarks]
+ parent = "Phase-Field"
+
++++
+
+{{< data-link >}}
+
+## Problem description
+
+We simulate two different fluid percolation experiments performed on rock salt samples with a true tri-axial loading system as described in [this] (../Yoshioka_percolation.pdf). The experiments were performed under two different stress configurations as below.
+{{< img src="../ME2_stress_state_1.pdf" >}}
+{{< img src="../ME2_stress_state_2.pdf" >}}
+
+## Results and evaluation
+
+Simulated crack pathes (phase-field) for the two cases are shown below:
+
+{{< img src="../VPF_ME2_case1.png" >}}
+{{< img src="../VPF_ME2_case2.png" >}}
diff --git a/web/content/docs/benchmarks/phase-field/pf_tpb.pandoc b/web/content/docs/benchmarks/phase-field/pf_tpb.pandoc
new file mode 100644
index 0000000000000000000000000000000000000000..739e1cc1938c881adee1a23d6d57da714ef983a8
--- /dev/null
+++ b/web/content/docs/benchmarks/phase-field/pf_tpb.pandoc
@@ -0,0 +1,29 @@
++++
+project = "PhaseField/tpb_rgranite.prj"
+author = "Keita Yoshioka"
+date = "2017-05-19T09:10:33+01:00"
+title = "Three point bending test"
+weight = 158
+
+[menu]
+ [menu.benchmarks]
+ parent = "Phase-Field"
+
++++
+
+{{< data-link >}}
+
+## Problem description
+
+We simulate a three point bending test performed on Rockville granite as shown below. Details of the experiment can be found in Tarok et al. 2017.
+{{< img src="../TPB_exp.png" >}}
+
+## Results and evaluation
+
+Developed crack (phase-field) and the crack mouth opening displacement (CMOD) vs. the force are shown below.
+
+{{< img src="../VPF_ME1_frac.png" >}}
+{{< img src="../VPF_ME1_NF_CMOD_comp.png" >}}
+
+
+The model is able to simulate up to the brittle elastic failure, but as cracked surfaces are currently treated as frictionless, the behavior after the failure deviates from the experiment results.
diff --git a/web/content/docs/benchmarks/phase-field/pf_tpb_ani.pandoc b/web/content/docs/benchmarks/phase-field/pf_tpb_ani.pandoc
new file mode 100644
index 0000000000000000000000000000000000000000..c7e82cf69baec23d336b210afd73de1e153a0efe
--- /dev/null
+++ b/web/content/docs/benchmarks/phase-field/pf_tpb_ani.pandoc
@@ -0,0 +1,31 @@
++++
+project = "PhaseField/ME01_ext_2D_orth.prj"
+author = "Keita Yoshioka"
+date = "2020-07-27"
+title = "Three point bending test on anisotropic rock"
+weight = 158
+
+[menu]
+ [menu.benchmarks]
+ parent = "Phase-Field"
+
++++
+
+{{< data-link >}}
+
+## Problem description
+
+We simulate three point bending tests performed on lamination orthogonal and parallel. The layer lamination is represented through the fracture toughnss $G_c$ as shown below.
+{{< img src="../ME1_ext_2D_orthogonal_init.png" >}}
+{{< img src="../ME1_ext_2D_parallel_init.png" >}}
+
+## Results and evaluation
+
+Simulated crack path (phase-field) for the lamination orthogonal and the parallel are shown below:
+
+{{< img src="../ME1_ext_2D_orth_result.png" >}}
+{{< img src="../ME1_ext_2D_para_result.png" >}}
+
+The responses of crack mouth opening displacement (CMOD) vs. force is as follows.
+
+{{< img src="../VPF_ME1_ex_NF_CMOD.png" >}}
\ No newline at end of file