diff --git a/MaterialLib/FractureModels/CohesiveZoneModeI.cpp b/MaterialLib/FractureModels/CohesiveZoneModeI.cpp
index c61cd207939160bc843b5380c272a1e8a7b0d22e..57eb517d9d2e86c6b3ad817d91d14ae8e023ddef 100644
--- a/MaterialLib/FractureModels/CohesiveZoneModeI.cpp
+++ b/MaterialLib/FractureModels/CohesiveZoneModeI.cpp
@@ -41,7 +41,7 @@ void CohesiveZoneModeI<DisplacementDim>::computeConstitutiveRelation(
     ParameterLib::SpatialPosition const& x,
     double const aperture0,
     Eigen::Ref<Eigen::VectorXd const>
-    /*sigma0*/,
+        sigma0,
     Eigen::Ref<Eigen::VectorXd const>
     /*w_prev*/,
     Eigen::Ref<Eigen::VectorXd const>
@@ -87,10 +87,10 @@ void CohesiveZoneModeI<DisplacementDim>::computeConstitutiveRelation(
         mp.Kn *
         logPenaltyDerivative(aperture0, aperture, _penalty_aperture_cutoff);
 
+    sigma.noalias() += sigma0;
+
     // Exit if fracture is closing
-    // TODO (nagel) to be based on the stress state when initial stress effects
-    // are included.
-    if (w_n < 0)
+    if (sigma[index_ns] < 0)
     {
         return;  /// Undamaged stiffness used in compression.
     }
@@ -98,22 +98,29 @@ void CohesiveZoneModeI<DisplacementDim>::computeConstitutiveRelation(
     //
     // Continue with fracture opening.
     //
+    // effective opening calculated by shift to state corresponding to sigma0=0
+    const double w_n_effective = w_n + sigma0[index_ns] / mp.Kn;
     double degradation = 0.0;
-    if (mp.w_nf == 0.0)
+    if (mp.w_nf == 0.0)  // can be used to model tension-cutoff
     {
         state.damage_prev = 1.0;
         state.damage = 1.0;
     }
     else
     {
-        state.damage = computeDamage(state.damage_prev, w_n, mp.w_np, mp.w_nf);
+        state.damage =
+            computeDamage(state.damage_prev, w_n_effective, mp.w_np, mp.w_nf);
         degradation = ((1 - state.damage) * mp.w_np) /
                                    (mp.w_np + state.damage * (mp.w_nf - mp.w_np));
     }
 
     // Degrade stiffness tensor in tension.
     C = C * degradation;
-    sigma = C * w;
+    // Create effective relative displacement vector
+    Eigen::VectorXd w_eff = w;
+    // Only origin of normal entry is shifted, shear unaffected
+    w_eff[index_ns] = w_n_effective;
+    sigma = C * w_eff;
 
     if (state.damage > state.damage_prev)
     {
@@ -126,7 +133,7 @@ void CohesiveZoneModeI<DisplacementDim>::computeConstitutiveRelation(
         dd_dw[index_ns] =
             (mp.w_np * mp.w_nf) / ((mp.w_nf - mp.w_np) * (tmp * tmp));
 
-        C -= C * w * (dd_dw).transpose();
+        C -= C * w_eff * (dd_dw).transpose();
     }
 
     // TODO (nagel) Initial stress not considered, yet.
diff --git a/ProcessLib/LIE/HydroMechanics/Tests.cmake b/ProcessLib/LIE/HydroMechanics/Tests.cmake
index be148f0e964f331403c59fe60c920d56fab8c3d3..7f6a01a720d12afe9e600c78b83ee8fc92d27ff2 100644
--- a/ProcessLib/LIE/HydroMechanics/Tests.cmake
+++ b/ProcessLib/LIE/HydroMechanics/Tests.cmake
@@ -174,3 +174,49 @@ AddTest(
     expected_single_fracture_3compartments_flow_linear_aperture0_e_pcs_0_ts_1108_t_10000.000000.vtu single_fracture_3compartments_flow_linear_aperture0_e_pcs_0_ts_1108_t_10000.000000.vtu stress_yy stress_yy 1e-12 1e-15
     expected_single_fracture_3compartments_flow_linear_aperture0_e_pcs_0_ts_1108_t_10000.000000.vtu single_fracture_3compartments_flow_linear_aperture0_e_pcs_0_ts_1108_t_10000.000000.vtu velocity velocity 1e-15 1e-15
 )
+
+AddTest(
+    NAME LIE_HM_single_fracture_3compartments_flow_CHZ
+    PATH LIE/HydroMechanics
+    EXECUTABLE ogs
+    EXECUTABLE_ARGS single_fracture_3compartments_flow_CHZ.prj
+    WRAPPER time
+    TESTER vtkdiff
+    REQUIREMENTS NOT (OGS_USE_LIS OR OGS_USE_MPI)
+    DIFF_DATA
+    expected_single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu pressure pressure 1e-15 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu pressure_interpolated pressure_interpolated 1e-15 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu displacement displacement 1e-15 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu displacement_jump1 displacement_jump1 1e-15 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu nodal_w nodal_w 1e-15 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu nodal_aperture nodal_aperture 1e-15 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu strain_xx strain_xx 1e-15 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu strain_yy strain_yy 1e-15 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu strain_xy strain_xy 1e-15 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu stress_xx stress_xx 1e-10 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu stress_yy stress_yy 2e-10 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu velocity velocity 1e-15 1e-15
+)
+
+AddTest(
+    NAME LIE_HM_single_fracture_3compartments_flow_CHZ_sigma0
+    PATH LIE/HydroMechanics
+    EXECUTABLE ogs
+    EXECUTABLE_ARGS single_fracture_3compartments_flow_CHZ_sigma0.prj
+    WRAPPER time
+    TESTER vtkdiff
+    REQUIREMENTS NOT (OGS_USE_LIS OR OGS_USE_MPI)
+    DIFF_DATA
+    expected_single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu pressure pressure 1e-10 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu pressure_interpolated pressure_interpolated 1e-10 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu displacement displacement 1e-15 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu displacement_jump1 displacement_jump1 1e-15 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu nodal_w nodal_w 1e-15 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu nodal_aperture nodal_aperture 1e-15 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu strain_xx strain_xx 1e-15 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu strain_yy strain_yy 1e-15 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu strain_xy strain_xy 1e-15 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu stress_xx stress_xx 3e-10 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu stress_yy stress_yy 1e-12 1e-15
+    expected_single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu velocity velocity 1e-15 1e-15
+)
diff --git a/Tests/Data/LIE/HydroMechanics/expected_single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu b/Tests/Data/LIE/HydroMechanics/expected_single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..e505feb3200edec1e12bf1df93d91a0475968356
--- /dev/null
+++ b/Tests/Data/LIE/HydroMechanics/expected_single_fracture_3compartments_flow_CHZ_pcs_0_ts_356_t_500.000000.vtu
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a9fde7817d0014ccc63f17891d73de482267f1d40d65c0fd770635b194c5328
+size 19706
diff --git a/Tests/Data/LIE/HydroMechanics/expected_single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu b/Tests/Data/LIE/HydroMechanics/expected_single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..3e77d0cc3a5b2d717fa35303583a3787989f9b19
--- /dev/null
+++ b/Tests/Data/LIE/HydroMechanics/expected_single_fracture_3compartments_flow_CHZ_sigma0_pcs_0_ts_356_t_500.000000.vtu
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88d67797d2e7619998c2b19fc11bf078326380671f5320005ebb2c62b2c10b7d
+size 19586
diff --git a/Tests/Data/LIE/HydroMechanics/single_fracture_3compartments_flow_CHZ.prj b/Tests/Data/LIE/HydroMechanics/single_fracture_3compartments_flow_CHZ.prj
new file mode 100644
index 0000000000000000000000000000000000000000..563a05168ea9a8754bb247d19230709cb231a99f
--- /dev/null
+++ b/Tests/Data/LIE/HydroMechanics/single_fracture_3compartments_flow_CHZ.prj
@@ -0,0 +1,347 @@
+<?xml version="1.0" encoding="ISO-8859-1"?>
+<OpenGeoSysProject>
+    <mesh>single_fracture_2x2.vtu</mesh>
+    <geometry>single_fracture_2x2.gml</geometry>
+    <processes>
+        <process>
+            <name>HM</name>
+            <type>HYDRO_MECHANICS_WITH_LIE</type>
+            <integration_order>3</integration_order>
+            <dimension>2</dimension>
+            <process_variables>
+                <process_variable>pressure</process_variable>
+                <process_variable>displacement</process_variable>
+                <process_variable>displacement_jump1</process_variable>
+            </process_variables>
+            <constitutive_relation>
+                <type>LinearElasticIsotropic</type>
+                <youngs_modulus>E</youngs_modulus>
+                <poissons_ratio>nu</poissons_ratio>
+            </constitutive_relation>
+            <intrinsic_permeability>k</intrinsic_permeability>
+            <specific_storage>S</specific_storage>
+            <fluid_viscosity>mu</fluid_viscosity>
+            <biot_coefficient>biot_m</biot_coefficient>
+            <porosity>phi</porosity>
+            <solid_density>rho_sr</solid_density>
+            <fluid_density>rho_fr</fluid_density>
+            <specific_body_force>0 0</specific_body_force>
+            <initial_effective_stress>effective_stress0</initial_effective_stress>
+            <!--fracture_model>
+                <type>LinearElasticIsotropic</type>
+                <normal_stiffness>Kn</normal_stiffness>
+                <shear_stiffness>Ks</shear_stiffness>
+                <penalty_aperture_cutoff>0</penalty_aperture_cutoff>
+                <tension_cutoff>1</tension_cutoff>
+            </fracture_model-->
+            <fracture_model>
+                <type>CohesiveZoneModeI</type>
+                <normal_stiffness>Kn</normal_stiffness>
+                <shear_stiffness>Ks</shear_stiffness>
+                <fracture_toughness>Gc</fracture_toughness>
+                <peak_normal_traction>t_np</peak_normal_traction>
+                <penalty_aperture_cutoff>1e-8</penalty_aperture_cutoff>
+                <tension_cutoff>1</tension_cutoff>
+            </fracture_model>
+            <fracture_properties>
+                <material_id>0</material_id>
+                <initial_aperture>aperture0</initial_aperture>
+                <specific_storage>S_f</specific_storage>
+                <biot_coefficient>biot_f</biot_coefficient>
+                <permeability_model>
+                    <type>CubicLaw</type>
+                </permeability_model>
+            </fracture_properties>
+            <initial_fracture_effective_stress>fracture_effective_stress0</initial_fracture_effective_stress>
+            <deactivate_matrix_in_flow>true</deactivate_matrix_in_flow>
+            <secondary_variables>
+            </secondary_variables>
+        </process>
+    </processes>
+    <time_loop>
+        <processes>
+            <process ref="HM">
+                <nonlinear_solver>basic_newton</nonlinear_solver>
+                <convergence_criterion>
+                    <type>PerComponentResidual</type>
+                    <norm_type>NORM2</norm_type>
+                    <abstols>1e-10 1e-7 1e-5 1e-6 1e-6</abstols>
+                </convergence_criterion>
+                <time_discretization>
+                    <type>BackwardEuler</type>
+                </time_discretization>
+                 <time_stepping>
+                    <type>FixedTimeStepping</type>
+                    <t_initial>0</t_initial>
+                    <t_end>500</t_end>
+                    <timesteps>
+                        <pair>
+                            <repeat>300</repeat>
+                            <delta_t>0.1</delta_t>
+                        </pair>
+                        <pair>
+                            <repeat>10</repeat>
+                            <delta_t>1</delta_t>
+                        </pair>
+                        <pair>
+                            <repeat>1</repeat>
+                            <delta_t>10</delta_t>
+                        </pair>
+                    </timesteps>
+                </time_stepping>
+            </process>
+        </processes>
+        <output>
+            <type>VTK</type>
+            <prefix>single_fracture_3compartments_flow_CHZ</prefix>
+            <timesteps>
+                <pair>
+                    <repeat>1</repeat>
+                    <each_steps>1000</each_steps>
+                </pair>
+            </timesteps>
+            <variables>
+                <variable>pressure</variable>
+                <variable>displacement</variable>
+                <variable>displacement_jump1</variable>
+            </variables>
+        </output>
+    </time_loop>
+    <parameters>
+        <!-- Fluid phase properties -->
+        <parameter>
+            <name>rho_fr</name>
+            <type>Constant</type>
+            <value>1e3</value>
+        </parameter>
+        <parameter>
+            <name>mu</name>
+            <type>Constant</type>
+            <value>1e-3</value>
+        </parameter>
+        <!-- Solid phase properties -->
+        <parameter>
+            <name>rho_sr</name>
+            <type>Constant</type>
+            <value>0.0</value>
+        </parameter>
+        <!-- Porous medium properties -->
+        <parameter>
+            <name>phi</name>
+            <type>Constant</type>
+            <value>1e-3</value>
+        </parameter>
+        <parameter>
+            <name>k</name>
+            <type>Constant</type>
+            <value>1e-17</value>
+        </parameter>
+        <parameter>
+            <name>S</name>
+            <type>Constant</type>
+            <value>1</value>
+        </parameter>
+        <parameter>
+            <name>biot_m</name>
+            <type>Constant</type>
+            <value>0</value>
+        </parameter>
+        <parameter>
+            <name>E</name>
+            <type>Constant</type>
+            <value>1e9</value>
+        </parameter>
+        <parameter>
+            <name>nu</name>
+            <type>Constant</type>
+            <value>0.3</value>
+        </parameter>
+        <!-- Fracture properties -->
+        <parameter>
+            <name>aperture0</name>
+            <type>Constant</type>
+            <value>1e-5</value>
+        </parameter>
+        <parameter>
+            <name>S_f</name>
+            <type>Constant</type>
+            <value>0</value>
+        </parameter>
+        <parameter>
+            <name>biot_f</name>
+            <type>Constant</type>
+            <value>1</value>
+        </parameter>
+		<!--fracture model-->
+        <parameter>
+            <name>Kn</name>
+            <type>Constant</type>
+            <value>1e9</value>
+        </parameter>
+        <parameter>
+            <name>Ks</name>
+            <type>Constant</type>
+            <value>1e8</value>
+        </parameter>
+        <parameter>
+            <name>Gc</name>
+            <type>Constant</type>
+            <value>4</value>
+        </parameter>
+        <parameter>
+            <name>t_np</name>
+            <type>Constant</type>
+            <value>0.5e5</value>
+        </parameter>
+        <!-- Flow properties -->
+        <parameter>
+            <name>p0</name>
+            <type>Constant</type>
+            <values>0</values>
+        </parameter>
+        <parameter>
+            <name>p_in</name>
+            <type>Constant</type>
+            <values>1E5</values>
+        </parameter>
+        <parameter>
+            <name>p_out</name>
+            <type>Constant</type>
+            <values>0</values>
+        </parameter>
+        <!-- Mechanics properties -->
+        <parameter>
+            <name>displacement0</name>
+            <type>Constant</type>
+            <values>0 0</values>
+        </parameter>
+        <parameter>
+            <name>effective_stress0</name>
+            <type>Constant</type>
+            <values>-0e5 -0e5 -0e5 0</values>
+        </parameter>
+        <parameter>
+            <name>fracture_effective_stress0</name>
+            <type>Constant</type>
+            <values>0 -0e5</values>
+        </parameter>
+        <parameter>
+            <name>zero_u</name>
+            <type>Constant</type>
+            <value>0</value>
+        </parameter>
+        <parameter>
+            <name>load_top</name>
+            <type>Constant</type>
+            <value>0.0</value>
+        </parameter>
+        <parameter>
+            <name>load_bottom</name>
+            <type>Constant</type>
+            <value>1e5</value>
+        </parameter>
+    </parameters>
+    <process_variables>
+        <process_variable>
+            <name>pressure</name>
+            <components>1</components>
+            <order>1</order>
+            <initial_condition>p0</initial_condition>
+            <boundary_conditions>
+                <boundary_condition>
+                    <geometrical_set>single_fracture</geometrical_set>
+                    <geometry>InjectionPoint</geometry>
+                    <type>Dirichlet</type>
+                    <parameter>p_in</parameter>
+                </boundary_condition>
+                <boundary_condition>
+                    <geometrical_set>single_fracture</geometrical_set>
+                    <geometry>OutletPoint</geometry>
+                    <type>Dirichlet</type>
+                    <parameter>p_out</parameter>
+                </boundary_condition>
+            </boundary_conditions>
+        </process_variable>
+        <process_variable>
+            <name>displacement</name>
+            <components>2</components>
+            <order>2</order>
+            <initial_condition>displacement0</initial_condition>
+            <boundary_conditions>
+                <boundary_condition>
+                    <geometrical_set>single_fracture</geometrical_set>
+                    <geometry>PLY_SOUTH</geometry>
+                    <type>Dirichlet</type>
+                    <component>1</component>
+                    <parameter>zero_u</parameter>
+                </boundary_condition>
+                <boundary_condition>
+                    <geometrical_set>single_fracture</geometrical_set>
+                    <geometry>PLY_WEST</geometry>
+                    <type>Dirichlet</type>
+                    <component>0</component>
+                    <parameter>zero_u</parameter>
+                </boundary_condition>
+                <boundary_condition>
+                    <geometrical_set>single_fracture</geometrical_set>
+                    <geometry>PLY_EAST</geometry>
+                    <type>Dirichlet</type>
+                    <component>0</component>
+                    <parameter>zero_u</parameter>
+                </boundary_condition>
+                <boundary_condition>
+                    <geometrical_set>single_fracture</geometrical_set>
+                    <geometry>PLY_NORTH</geometry>
+                    <type>Dirichlet</type>
+                    <component>1</component>
+                    <parameter>zero_u</parameter>
+                </boundary_condition>
+            </boundary_conditions>
+        </process_variable>
+        <process_variable>
+            <name>displacement_jump1</name>
+            <components>2</components>
+            <order>2</order>
+            <initial_condition>displacement0</initial_condition>
+            <boundary_conditions>
+                <boundary_condition>
+                    <geometrical_set>single_fracture</geometrical_set>
+                    <geometry>InjectionPoint</geometry>
+                    <type>Dirichlet</type>
+                    <component>0</component>
+                    <parameter>zero_u</parameter>
+                </boundary_condition>
+                <boundary_condition>
+                    <geometrical_set>single_fracture</geometrical_set>
+                    <geometry>OutletPoint</geometry>
+                    <type>Dirichlet</type>
+                    <component>0</component>
+                    <parameter>zero_u</parameter>
+                </boundary_condition>
+            </boundary_conditions>
+        </process_variable>
+    </process_variables>
+    <nonlinear_solvers>
+        <nonlinear_solver>
+            <name>basic_newton</name>
+            <type>Newton</type>
+            <max_iter>100</max_iter>
+            <linear_solver>general_linear_solver</linear_solver>
+        </nonlinear_solver>
+    </nonlinear_solvers>
+    <linear_solvers>
+        <linear_solver>
+            <name>general_linear_solver</name>
+            <!--This is working but extremely slow
+            <lis>-i bicgstab -p ssor -ssor_w 1.5 -tol 1e-12 -maxiter 100000</lis>
+            -->
+            <eigen>
+                <!--
+                <solver_type>PardisoLU</solver_type>
+                -->
+                <solver_type>SparseLU</solver_type>
+                <scaling>1</scaling>
+            </eigen>
+        </linear_solver>
+    </linear_solvers>
+</OpenGeoSysProject>
diff --git a/Tests/Data/LIE/HydroMechanics/single_fracture_3compartments_flow_CHZ_sigma0.prj b/Tests/Data/LIE/HydroMechanics/single_fracture_3compartments_flow_CHZ_sigma0.prj
new file mode 100644
index 0000000000000000000000000000000000000000..66bd2d9f97244d5eecb2071175131efd0e78376a
--- /dev/null
+++ b/Tests/Data/LIE/HydroMechanics/single_fracture_3compartments_flow_CHZ_sigma0.prj
@@ -0,0 +1,347 @@
+<?xml version="1.0" encoding="ISO-8859-1"?>
+<OpenGeoSysProject>
+    <mesh>single_fracture_2x2.vtu</mesh>
+    <geometry>single_fracture_2x2.gml</geometry>
+    <processes>
+        <process>
+            <name>HM</name>
+            <type>HYDRO_MECHANICS_WITH_LIE</type>
+            <integration_order>3</integration_order>
+            <dimension>2</dimension>
+            <process_variables>
+                <process_variable>pressure</process_variable>
+                <process_variable>displacement</process_variable>
+                <process_variable>displacement_jump1</process_variable>
+            </process_variables>
+            <constitutive_relation>
+                <type>LinearElasticIsotropic</type>
+                <youngs_modulus>E</youngs_modulus>
+                <poissons_ratio>nu</poissons_ratio>
+            </constitutive_relation>
+            <intrinsic_permeability>k</intrinsic_permeability>
+            <specific_storage>S</specific_storage>
+            <fluid_viscosity>mu</fluid_viscosity>
+            <biot_coefficient>biot_m</biot_coefficient>
+            <porosity>phi</porosity>
+            <solid_density>rho_sr</solid_density>
+            <fluid_density>rho_fr</fluid_density>
+            <specific_body_force>0 0</specific_body_force>
+            <initial_effective_stress>effective_stress0</initial_effective_stress>
+            <!--fracture_model>
+                <type>LinearElasticIsotropic</type>
+                <normal_stiffness>Kn</normal_stiffness>
+                <shear_stiffness>Ks</shear_stiffness>
+                <penalty_aperture_cutoff>0</penalty_aperture_cutoff>
+                <tension_cutoff>1</tension_cutoff>
+            </fracture_model-->
+            <fracture_model>
+                <type>CohesiveZoneModeI</type>
+                <normal_stiffness>Kn</normal_stiffness>
+                <shear_stiffness>Ks</shear_stiffness>
+                <fracture_toughness>Gc</fracture_toughness>
+                <peak_normal_traction>t_np</peak_normal_traction>
+                <penalty_aperture_cutoff>1e-8</penalty_aperture_cutoff>
+                <tension_cutoff>1</tension_cutoff>
+            </fracture_model>
+            <fracture_properties>
+                <material_id>0</material_id>
+                <initial_aperture>aperture0</initial_aperture>
+                <specific_storage>S_f</specific_storage>
+                <biot_coefficient>biot_f</biot_coefficient>
+                <permeability_model>
+                    <type>CubicLaw</type>
+                </permeability_model>
+            </fracture_properties>
+            <initial_fracture_effective_stress>fracture_effective_stress0</initial_fracture_effective_stress>
+            <deactivate_matrix_in_flow>true</deactivate_matrix_in_flow>
+            <secondary_variables>
+            </secondary_variables>
+        </process>
+    </processes>
+    <time_loop>
+        <processes>
+            <process ref="HM">
+                <nonlinear_solver>basic_newton</nonlinear_solver>
+                <convergence_criterion>
+                    <type>PerComponentResidual</type>
+                    <norm_type>NORM2</norm_type>
+                    <abstols>1e-10 1e-7 1e-5 1e-6 1e-6</abstols>
+                </convergence_criterion>
+                <time_discretization>
+                    <type>BackwardEuler</type>
+                </time_discretization>
+                 <time_stepping>
+                    <type>FixedTimeStepping</type>
+                    <t_initial>0</t_initial>
+                    <t_end>500</t_end>
+                    <timesteps>
+                        <pair>
+                            <repeat>300</repeat>
+                            <delta_t>0.1</delta_t>
+                        </pair>
+                        <pair>
+                            <repeat>10</repeat>
+                            <delta_t>1</delta_t>
+                        </pair>
+                        <pair>
+                            <repeat>1</repeat>
+                            <delta_t>10</delta_t>
+                        </pair>
+                    </timesteps>
+                </time_stepping>
+            </process>
+        </processes>
+        <output>
+            <type>VTK</type>
+            <prefix>single_fracture_3compartments_flow_CHZ_sigma0</prefix>
+            <timesteps>
+                <pair>
+                    <repeat>1</repeat>
+                    <each_steps>1000</each_steps>
+                </pair>
+            </timesteps>
+            <variables>
+                <variable>pressure</variable>
+                <variable>displacement</variable>
+                <variable>displacement_jump1</variable>
+            </variables>
+        </output>
+    </time_loop>
+    <parameters>
+        <!-- Fluid phase properties -->
+        <parameter>
+            <name>rho_fr</name>
+            <type>Constant</type>
+            <value>1e3</value>
+        </parameter>
+        <parameter>
+            <name>mu</name>
+            <type>Constant</type>
+            <value>1e-3</value>
+        </parameter>
+        <!-- Solid phase properties -->
+        <parameter>
+            <name>rho_sr</name>
+            <type>Constant</type>
+            <value>0.0</value>
+        </parameter>
+        <!-- Porous medium properties -->
+        <parameter>
+            <name>phi</name>
+            <type>Constant</type>
+            <value>1e-3</value>
+        </parameter>
+        <parameter>
+            <name>k</name>
+            <type>Constant</type>
+            <value>1e-17</value>
+        </parameter>
+        <parameter>
+            <name>S</name>
+            <type>Constant</type>
+            <value>1</value>
+        </parameter>
+        <parameter>
+            <name>biot_m</name>
+            <type>Constant</type>
+            <value>0</value>
+        </parameter>
+        <parameter>
+            <name>E</name>
+            <type>Constant</type>
+            <value>1e9</value>
+        </parameter>
+        <parameter>
+            <name>nu</name>
+            <type>Constant</type>
+            <value>0.3</value>
+        </parameter>
+        <!-- Fracture properties -->
+        <parameter>
+            <name>aperture0</name>
+            <type>Constant</type>
+            <value>1e-5</value>
+        </parameter>
+        <parameter>
+            <name>S_f</name>
+            <type>Constant</type>
+            <value>0</value>
+        </parameter>
+        <parameter>
+            <name>biot_f</name>
+            <type>Constant</type>
+            <value>1</value>
+        </parameter>
+		<!--fracture model-->
+        <parameter>
+            <name>Kn</name>
+            <type>Constant</type>
+            <value>1e9</value>
+        </parameter>
+        <parameter>
+            <name>Ks</name>
+            <type>Constant</type>
+            <value>1e8</value>
+        </parameter>
+        <parameter>
+            <name>Gc</name>
+            <type>Constant</type>
+            <value>4</value>
+        </parameter>
+        <parameter>
+            <name>t_np</name>
+            <type>Constant</type>
+            <value>0.5e5</value>
+        </parameter>
+        <!-- Flow properties -->
+        <parameter>
+            <name>p0</name>
+            <type>Constant</type>
+            <values>0</values>
+        </parameter>
+        <parameter>
+            <name>p_in</name>
+            <type>Constant</type>
+            <values>1E5</values>
+        </parameter>
+        <parameter>
+            <name>p_out</name>
+            <type>Constant</type>
+            <values>0</values>
+        </parameter>
+        <!-- Mechanics properties -->
+        <parameter>
+            <name>displacement0</name>
+            <type>Constant</type>
+            <values>0 0</values>
+        </parameter>
+        <parameter>
+            <name>effective_stress0</name>
+            <type>Constant</type>
+            <values>-2e5 -2e5 -2e5 0</values>
+        </parameter>
+        <parameter>
+            <name>fracture_effective_stress0</name>
+            <type>Constant</type>
+            <values>0 -2e5</values>
+        </parameter>
+        <parameter>
+            <name>zero_u</name>
+            <type>Constant</type>
+            <value>0</value>
+        </parameter>
+        <parameter>
+            <name>load_top</name>
+            <type>Constant</type>
+            <value>0.0</value>
+        </parameter>
+        <parameter>
+            <name>load_bottom</name>
+            <type>Constant</type>
+            <value>1e5</value>
+        </parameter>
+    </parameters>
+    <process_variables>
+        <process_variable>
+            <name>pressure</name>
+            <components>1</components>
+            <order>1</order>
+            <initial_condition>p0</initial_condition>
+            <boundary_conditions>
+                <boundary_condition>
+                    <geometrical_set>single_fracture</geometrical_set>
+                    <geometry>InjectionPoint</geometry>
+                    <type>Dirichlet</type>
+                    <parameter>p_in</parameter>
+                </boundary_condition>
+                <boundary_condition>
+                    <geometrical_set>single_fracture</geometrical_set>
+                    <geometry>OutletPoint</geometry>
+                    <type>Dirichlet</type>
+                    <parameter>p_out</parameter>
+                </boundary_condition>
+            </boundary_conditions>
+        </process_variable>
+        <process_variable>
+            <name>displacement</name>
+            <components>2</components>
+            <order>2</order>
+            <initial_condition>displacement0</initial_condition>
+            <boundary_conditions>
+                <boundary_condition>
+                    <geometrical_set>single_fracture</geometrical_set>
+                    <geometry>PLY_SOUTH</geometry>
+                    <type>Dirichlet</type>
+                    <component>1</component>
+                    <parameter>zero_u</parameter>
+                </boundary_condition>
+                <boundary_condition>
+                    <geometrical_set>single_fracture</geometrical_set>
+                    <geometry>PLY_WEST</geometry>
+                    <type>Dirichlet</type>
+                    <component>0</component>
+                    <parameter>zero_u</parameter>
+                </boundary_condition>
+                <boundary_condition>
+                    <geometrical_set>single_fracture</geometrical_set>
+                    <geometry>PLY_EAST</geometry>
+                    <type>Dirichlet</type>
+                    <component>0</component>
+                    <parameter>zero_u</parameter>
+                </boundary_condition>
+                <boundary_condition>
+                    <geometrical_set>single_fracture</geometrical_set>
+                    <geometry>PLY_NORTH</geometry>
+                    <type>Dirichlet</type>
+                    <component>1</component>
+                    <parameter>zero_u</parameter>
+                </boundary_condition>
+            </boundary_conditions>
+        </process_variable>
+        <process_variable>
+            <name>displacement_jump1</name>
+            <components>2</components>
+            <order>2</order>
+            <initial_condition>displacement0</initial_condition>
+            <boundary_conditions>
+                <boundary_condition>
+                    <geometrical_set>single_fracture</geometrical_set>
+                    <geometry>InjectionPoint</geometry>
+                    <type>Dirichlet</type>
+                    <component>0</component>
+                    <parameter>zero_u</parameter>
+                </boundary_condition>
+                <boundary_condition>
+                    <geometrical_set>single_fracture</geometrical_set>
+                    <geometry>OutletPoint</geometry>
+                    <type>Dirichlet</type>
+                    <component>0</component>
+                    <parameter>zero_u</parameter>
+                </boundary_condition>
+            </boundary_conditions>
+        </process_variable>
+    </process_variables>
+    <nonlinear_solvers>
+        <nonlinear_solver>
+            <name>basic_newton</name>
+            <type>Newton</type>
+            <max_iter>100</max_iter>
+            <linear_solver>general_linear_solver</linear_solver>
+        </nonlinear_solver>
+    </nonlinear_solvers>
+    <linear_solvers>
+        <linear_solver>
+            <name>general_linear_solver</name>
+            <!--This is working but extremely slow
+            <lis>-i bicgstab -p ssor -ssor_w 1.5 -tol 1e-12 -maxiter 100000</lis>
+            -->
+            <eigen>
+                <!--
+                <solver_type>PardisoLU</solver_type>
+                -->
+                <solver_type>SparseLU</solver_type>
+                <scaling>1</scaling>
+            </eigen>
+        </linear_solver>
+    </linear_solvers>
+</OpenGeoSysProject>