diff --git a/ProcessLib/SmallDeformation/Tests.cmake b/ProcessLib/SmallDeformation/Tests.cmake
index c1a716146c3afae481e958ccd7a7b141cc6acfde..d52315c9c328db10e572b3db189ba02c6dcfb167 100644
--- a/ProcessLib/SmallDeformation/Tests.cmake
+++ b/ProcessLib/SmallDeformation/Tests.cmake
@@ -95,6 +95,7 @@ if (OGS_USE_MFRONT)
OgsTest(PROJECTFILE Mechanics/ModifiedCamClay/square_1e0_biax.prj)
OgsTest(PROJECTFILE Mechanics/ModifiedCamClay/model_triaxtest.prj)
OgsTest(PROJECTFILE Mechanics/ModifiedCamClay/triaxtest_original.prj)
+ OgsTest(PROJECTFILE Mechanics/ModifiedCamClay/triaxtest_original_abs.prj)
OgsTest(PROJECTFILE Mechanics/Ehlers/MFront/square_1e1_2_matIDs.prj RUNTIME 4)
OgsTest(PROJECTFILE Mechanics/Ehlers/MFront/square_1e1_2_matIDs_restart.prj RUNTIME 4)
OgsTest(PROJECTFILE Mechanics/Ehlers/MFront/two_material_ids_single_solid.prj RUNTIME 1)
diff --git a/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original_abs.prj b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original_abs.prj
new file mode 100644
index 0000000000000000000000000000000000000000..4fe729adbad44145e01ed4083b6c5b21cf47656c
--- /dev/null
+++ b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original_abs.prj
@@ -0,0 +1,326 @@
+<?xml version="1.0" encoding="ISO-8859-1"?>
+<!-- units: kg, m, s, N -->
+<OpenGeoSysProject>
+ <meshes>
+ <mesh axially_symmetric="true">model.vtu</mesh>
+ <mesh axially_symmetric="true">geometry_left.vtu</mesh>
+ <mesh axially_symmetric="true">geometry_right.vtu</mesh>
+ <mesh axially_symmetric="true">geometry_top.vtu</mesh>
+ <mesh axially_symmetric="true">geometry_bottom.vtu</mesh>
+ </meshes>
+ <processes>
+ <process>
+ <name>SD</name>
+ <type>SMALL_DEFORMATION</type>
+ <integration_order>2</integration_order>
+ <constitutive_relation>
+ <type>MFront</type>
+ <behaviour>ModCamClay_semiExplParaInitNLnu_abs</behaviour>
+ <material_properties>
+ <material_property name="PoissonRatio" parameter="PoissonRatio"/>
+ <material_property name="CriticalStateLineSlope" parameter="CriticalStateLineSlope"/>
+ <material_property name="SwellingLineSlope" parameter="SwellingLineSlope"/>
+ <material_property name="VirginConsolidationLineSlope" parameter="VirginConsolidationLineSlope"/>
+ <material_property name="CharacteristicPreConsolidationPressure" parameter="InitialPreConsolidationPressure"/>
+ <material_property name="InitialVolumeRatio" parameter="InitialVolumeRatio"/>
+ </material_properties>
+ <initial_values>
+ <state_variable name="PreConsolidationPressure" parameter="InitialPreConsolidationPressure"/>
+ <state_variable name="VolumeRatio" parameter="InitialVolumeRatio"/>
+ </initial_values>
+ </constitutive_relation>
+ <solid_density>rho_sr</solid_density>
+ <specific_body_force>0 0</specific_body_force>
+ <initial_stress>InitialEffectiveStressField</initial_stress>
+ <process_variables>
+ <process_variable>displacement</process_variable>
+ </process_variables>
+ <secondary_variables>
+ <secondary_variable internal_name="sigma" output_name="sigma"/>
+ <secondary_variable internal_name="epsilon" output_name="epsilon"/>
+ <secondary_variable internal_name="ElasticStrain" output_name="ElasticStrain"/>
+ <secondary_variable internal_name="EquivalentPlasticStrain" output_name="EquivalentPlasticStrain"/>
+ <secondary_variable internal_name="PreConsolidationPressure" output_name="PreConsolidationPressure"/>
+ <secondary_variable internal_name="VolumeRatio" output_name="VolumeRatio"/>
+ <secondary_variable internal_name="PlasticVolumetricStrain" output_name="PlasticVolumetricStrain"/>
+ </secondary_variables>
+ </process>
+ </processes>
+ <time_loop>
+ <processes>
+ <process ref="SD">
+ <nonlinear_solver>basic_newton</nonlinear_solver>
+ <convergence_criterion>
+ <type>DeltaX</type>
+ <norm_type>INFINITY_N</norm_type>
+ <abstol>1e-13</abstol>
+ </convergence_criterion>
+ <time_discretization>
+ <type>BackwardEuler</type>
+ </time_discretization>
+ <time_stepping>
+ <type>FixedTimeStepping</type>
+ <t_initial>0</t_initial>
+ <t_end>0.95</t_end>
+ <timesteps>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>0.001</delta_t>
+ </pair>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>0.0012</delta_t>
+ </pair>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>0.00144</delta_t>
+ </pair>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>0.001728</delta_t>
+ </pair>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>0.002074</delta_t>
+ </pair>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>0.002488</delta_t>
+ </pair>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>0.002986</delta_t>
+ </pair>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>0.003583</delta_t>
+ </pair>
+ <pair>
+ <repeat>2</repeat>
+ <delta_t>0.0043</delta_t>
+ </pair>
+ <pair>
+ <repeat>188</repeat>
+ <delta_t>0.00516</delta_t>
+ </pair>
+ <pair>
+ <repeat>1</repeat>
+ <delta_t>0.004863</delta_t>
+ </pair>
+ </timesteps>
+ </time_stepping>
+ </process>
+ </processes>
+ <output>
+ <type>VTK</type>
+ <prefix>triaxtest_original_abs_output</prefix>
+ <timesteps>
+ <pair>
+ <repeat>10000</repeat>
+ <each_steps>1</each_steps>
+ </pair>
+ </timesteps>
+ <variables>
+ <variable>displacement</variable>
+ <variable>sigma</variable>
+ <variable>epsilon</variable>
+ <variable>PreConsolidationPressure</variable>
+ </variables>
+ </output>
+ </time_loop>
+ <parameters>
+ <!--Modified Cam clay parameters-->
+ <parameter>
+ <name>PoissonRatio</name>
+ <type>Constant</type>
+ <value>0.3</value>
+ </parameter>
+ <parameter>
+ <name>CriticalStateLineSlope</name>
+ <type>Constant</type>
+ <value>1.2</value>
+ </parameter>
+ <parameter>
+ <name>SwellingLineSlope</name>
+ <type>Constant</type>
+ <value>6.6e-3</value>
+ </parameter>
+ <parameter>
+ <name>VirginConsolidationLineSlope</name>
+ <type>Constant</type>
+ <value>7.7e-2</value>
+ </parameter>
+ <parameter>
+ <name>InitialPreConsolidationPressure</name>
+ <type>Constant</type>
+ <value>200.e3</value> <!--Pa-->
+ </parameter>
+ <parameter>
+ <name>InitialVolumeRatio</name>
+ <type>Constant</type>
+ <value>1.78571428571428571429</value>
+ </parameter>
+ <!-- Initial and boundary values -->
+ <parameter>
+ <name>rho_sr</name>
+ <type>Constant</type>
+ <value>0</value>
+ </parameter>
+ <parameter>
+ <name>displacement0</name>
+ <type>Constant</type>
+ <values>0 0</values>
+ </parameter>
+ <parameter>
+ <name>zero</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </parameter>
+ <parameter>
+ <name>axial_pressure</name>
+ <type>CurveScaled</type>
+ <curve>ax_loading_curve</curve>
+ <parameter>loading_value_top</parameter>
+ </parameter>
+ <parameter>
+ <name>loading_value_top</name>
+ <type>Constant</type>
+ <value>-625.e3</value> <!--Pa-->
+ </parameter>
+ <parameter>
+ <name>loading_value_side</name>
+ <type>Constant</type>
+ <values>-200.e3</values> <!--Pa-->
+ </parameter>
+ <parameter>
+ <name>confining_pressure</name>
+ <type>CurveScaled</type>
+ <curve>pre_loading_curve</curve>
+ <parameter>loading_value_side</parameter>
+ </parameter>
+ <parameter>
+ <name>InitialEffectiveStressField</name> <!--Pa-->
+ <type>Function</type>
+ <expression> <!--xx-->
+ -200.e3
+ </expression>
+ <expression> <!--yy-->
+ -200.e3
+ </expression>
+ <expression> <!--zz-->
+ -200.e3
+ </expression>
+ <expression> <!--xy-->
+ 0
+ </expression>
+ </parameter>
+ </parameters>
+ <curves>
+ <curve>
+ <name>ax_loading_curve</name>
+ <coords>0.0 0.02 1 </coords>
+ <values>0.32 0.32 1.0 </values>
+ </curve>
+ <curve>
+ <name>pre_loading_curve</name>
+ <coords>0.0 0.02 1 </coords>
+ <values>1.0 1.0 1.05 </values>
+ </curve>
+ </curves>
+ <process_variables>
+ <process_variable>
+ <name>displacement</name>
+ <components>2</components>
+ <order>1</order>
+ <initial_condition>displacement0</initial_condition>
+ <boundary_conditions>
+ <!--fix left in radial direction-->
+ <boundary_condition>
+ <mesh>geometry_left</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>zero</parameter>
+ </boundary_condition>
+ <!--fix bottom in axial direction-->
+ <boundary_condition>
+ <mesh>geometry_bottom</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>zero</parameter>
+ </boundary_condition>
+ <!--compression in axial direction -->
+ <boundary_condition>
+ <mesh>geometry_top</mesh>
+ <type>Neumann</type>
+ <component>1</component>
+ <parameter>axial_pressure</parameter>
+ </boundary_condition>
+ <!--compression in -radial direction-->
+ <boundary_condition>
+ <mesh>geometry_right</mesh>
+ <type>Neumann</type>
+ <component>0</component>
+ <parameter>confining_pressure</parameter>
+ </boundary_condition>
+ </boundary_conditions>
+ </process_variable>
+ </process_variables>
+ <nonlinear_solvers>
+ <nonlinear_solver>
+ <name>basic_newton</name>
+ <type>Newton</type>
+ <max_iter>60</max_iter>
+ <linear_solver>general_linear_solver</linear_solver>
+ </nonlinear_solver>
+ </nonlinear_solvers>
+ <linear_solvers>
+ <linear_solver>
+ <name>general_linear_solver</name>
+ <eigen>
+ <solver_type>SparseLU</solver_type>
+ <scaling>true</scaling>
+ </eigen>
+ </linear_solver>
+ </linear_solvers>
+ <test_definition>
+ <!--primary field-->
+ <vtkdiff>
+ <file>triaxtest_original_abs_output_ts_99_t_0.484339.vtu</file>
+ <field>displacement</field>
+ <absolute_tolerance>1e-12</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <vtkdiff>
+ <file>triaxtest_original_abs_output_ts_189_t_0.948739.vtu</file>
+ <field>displacement</field>
+ <absolute_tolerance>1e-12</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <!--secondary field-->
+ <vtkdiff>
+ <file>triaxtest_original_abs_output_ts_99_t_0.484339.vtu</file>
+ <field>sigma</field>
+ <absolute_tolerance>6e-5</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <vtkdiff>
+ <file>triaxtest_original_abs_output_ts_189_t_0.948739.vtu</file>
+ <field>sigma</field>
+ <absolute_tolerance>6e-5</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <!--material-specific internal variable-->
+ <vtkdiff>
+ <file>triaxtest_original_abs_output_ts_99_t_0.484339.vtu</file>
+ <field>PreConsolidationPressure</field>
+ <absolute_tolerance>6e-5</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <vtkdiff>
+ <file>triaxtest_original_abs_output_ts_189_t_0.948739.vtu</file>
+ <field>PreConsolidationPressure</field>
+ <absolute_tolerance>6e-5</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ </test_definition>
+</OpenGeoSysProject>
diff --git a/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original_abs_output_ts_189_t_0.948739.vtu b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original_abs_output_ts_189_t_0.948739.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..4880f72c9f81fb7e569659942d351e634e557912
--- /dev/null
+++ b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original_abs_output_ts_189_t_0.948739.vtu
@@ -0,0 +1,42 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="1.0" byte_order="LittleEndian" header_type="UInt64" compressor="vtkZLibDataCompressor">
+ <UnstructuredGrid>
+ <FieldData>
+ <DataArray type="Int8" Name="IntegrationPointMetaData" NumberOfTuples="97" format="appended" RangeMin="34" RangeMax="125" offset="0" />
+ <DataArray type="Int8" Name="OGS_VERSION" NumberOfTuples="26" format="appended" RangeMin="45" RangeMax="121" offset="160" />
+ <DataArray type="Float64" Name="sigma_ip" NumberOfComponents="4" NumberOfTuples="304" format="appended" RangeMin="671633.97344" RangeMax="671633.97344" offset="252" />
+ </FieldData>
+ <Piece NumberOfPoints="100" NumberOfCells="76" >
+ <PointData>
+ <DataArray type="Float64" Name="ElasticStrain" NumberOfComponents="4" format="appended" RangeMin="0.0049924578026" RangeMax="0.0049924578026" offset="6296" />
+ <DataArray type="Float64" Name="EquivalentPlasticStrain" format="appended" RangeMin="0.1748514562" RangeMax="0.1748514562" offset="8328" />
+ <DataArray type="Float64" Name="MaterialForces" NumberOfComponents="2" format="appended" RangeMin="3.1622776602e+149" RangeMax="-nan" offset="8620" />
+ <DataArray type="Float64" Name="NodalForces" NumberOfComponents="2" format="appended" RangeMin="6.2821391557e-08" RangeMax="443825653.32" offset="8700" />
+ <DataArray type="Float64" Name="PlasticVolumetricStrain" format="appended" RangeMin="-0.046827792539" RangeMax="-0.046827792539" offset="9728" />
+ <DataArray type="Float64" Name="PreConsolidationPressure" format="appended" RangeMin="655970.93653" RangeMax="655970.93653" offset="10056" />
+ <DataArray type="Float64" Name="VolumeRatio" format="appended" RangeMin="1.6985799397" RangeMax="1.6985799397" offset="10384" />
+ <DataArray type="Float64" Name="displacement" NumberOfComponents="2" format="appended" RangeMin="0" RangeMax="15.876473575" offset="10644" />
+ <DataArray type="Float64" Name="epsilon" NumberOfComponents="4" format="appended" RangeMin="0.17607175511" RangeMax="0.17607175511" offset="11728" />
+ <DataArray type="Float64" Name="sigma" NumberOfComponents="4" format="appended" RangeMin="671633.97344" RangeMax="671633.97344" offset="13672" />
+ </PointData>
+ <CellData>
+ <DataArray type="Int32" Name="MaterialIDs" format="appended" RangeMin="0" RangeMax="0" offset="15744" />
+ <DataArray type="Float64" Name="principal_stress_values" NumberOfComponents="3" format="appended" RangeMin="671633.97344" RangeMax="671633.97344" offset="15808" />
+ <DataArray type="Float64" Name="principal_stress_vector_1" NumberOfComponents="3" format="appended" RangeMin="1" RangeMax="1" offset="16572" />
+ <DataArray type="Float64" Name="principal_stress_vector_2" NumberOfComponents="3" format="appended" RangeMin="1" RangeMax="1" offset="17404" />
+ <DataArray type="Float64" Name="principal_stress_vector_3" NumberOfComponents="3" format="appended" RangeMin="1" RangeMax="1" offset="18016" />
+ </CellData>
+ <Points>
+ <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="0" RangeMax="103.07764064" offset="18480" />
+ </Points>
+ <Cells>
+ <DataArray type="Int64" Name="connectivity" format="appended" RangeMin="" RangeMax="" offset="19576" />
+ <DataArray type="Int64" Name="offsets" format="appended" RangeMin="" RangeMax="" offset="20116" />
+ <DataArray type="UInt8" Name="types" format="appended" RangeMin="" RangeMax="" offset="20384" />
+ </Cells>
+ </Piece>
+ </UnstructuredGrid>
+ <AppendedData encoding="base64">
+ 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+ </AppendedData>
+</VTKFile>
diff --git a/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original_abs_output_ts_99_t_0.484339.vtu b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original_abs_output_ts_99_t_0.484339.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..4c3cb9492f32b78468e3c36504a499cd00eb8378
--- /dev/null
+++ b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original_abs_output_ts_99_t_0.484339.vtu
@@ -0,0 +1,42 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="1.0" byte_order="LittleEndian" header_type="UInt64" compressor="vtkZLibDataCompressor">
+ <UnstructuredGrid>
+ <FieldData>
+ <DataArray type="Int8" Name="IntegrationPointMetaData" NumberOfTuples="97" format="appended" RangeMin="34" RangeMax="125" offset="0" />
+ <DataArray type="Int8" Name="OGS_VERSION" NumberOfTuples="26" format="appended" RangeMin="45" RangeMax="121" offset="160" />
+ <DataArray type="Float64" Name="sigma_ip" NumberOfComponents="4" NumberOfTuples="304" format="appended" RangeMin="494908.58524" RangeMax="494908.58524" offset="252" />
+ </FieldData>
+ <Piece NumberOfPoints="100" NumberOfCells="76" >
+ <PointData>
+ <DataArray type="Float64" Name="ElasticStrain" NumberOfComponents="4" format="appended" RangeMin="0.0028239625858" RangeMax="0.0028239625858" offset="5788" />
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