diff --git a/MaterialLib/SolidModels/MFront/CMakeLists.txt b/MaterialLib/SolidModels/MFront/CMakeLists.txt
index cb9de4f9425a5c782c1b8b156bad8673179ef877..3238725b977386b2fbddc685fffb892bbf3a1ee2 100644
--- a/MaterialLib/SolidModels/MFront/CMakeLists.txt
+++ b/MaterialLib/SolidModels/MFront/CMakeLists.txt
@@ -18,6 +18,8 @@ mfront_behaviours_check_library(
GuentherSalzer
Lubby2
Lubby2mod
+ ModCamClay_semiExpl
+ ModCamClay_semiExpl_absP
ModCamClay_semiExpl_constE
MohrCoulombAbboSloan
MohrCoulombAbboSloanAniso
diff --git a/MaterialLib/SolidModels/MFront/ModCamClay_TriaxTest.py b/MaterialLib/SolidModels/MFront/ModCamClay_TriaxTest.py
index 7c070357f467896d39fce1cb286096d257a0bfa6..08bdd7aa8340f5ad2052f617ddd9767703fbe41b 100644
--- a/MaterialLib/SolidModels/MFront/ModCamClay_TriaxTest.py
+++ b/MaterialLib/SolidModels/MFront/ModCamClay_TriaxTest.py
@@ -1,4 +1,4 @@
-import mtest
+import mtest as mtest
import numpy as np
import matplotlib.pyplot as plt
@@ -6,40 +6,58 @@ m = mtest.MTest()
mtest.setVerboseMode(mtest.VerboseLevel.VERBOSE_QUIET)
m.setMaximumNumberOfSubSteps(20)
m.setModellingHypothesis("Axisymmetrical")
-m.setBehaviour("generic", "src/libBehaviour.so", "ModCamClay_semiExpl_constE")
+
+mcc_models = [
+ "ModCamClay_semiExpl",
+ "ModCamClay_semiExpl_absP",
+ "ModCamClay_semiExpl_constE",
+]
+controls = ["stress", "strain"]
+
+# Set MCC material model implementation and path
+lib_path = "./src/libBehaviour.so"
+mcc_model = mcc_models[0]
+control = controls[0]
+
+m.setBehaviour("generic", lib_path, mcc_model)
# Material constants (according to Modified Cam clay model Report)
nu = 0.3 # Poisson ratio
-E = 2 * (1 + nu) * 20.0e6 # Young's modulus in Pa
-la = 7.7e-2 # slope of the virgin consolidation line
-ka = 6.6e-3 # slope of the swelling line
-M = 1.2 # slope of the critical state line (CSL)
-v0 = 1.788 # initial volume ratio
-phi0 = 1 - 1 / v0 # initial porosity
+la = 7.7e-2 # Slope of the virgin consolidation line
+ka = 6.6e-3 # Slope of the swelling line
+M = 1.2 # Slope of the critical state line (CSL)
+v0 = 1.7857 # Initial volume ratio
pc0 = 200.0e3 # Initial pre-consolidation pressure in Pa
-pamb = 1.0e3 # Ambient pressure in Pa
+phi0 = 1 - 1 / v0 # Initial porosity
+pamb = 0.0 # Ambient pressure in Pa
# Loading programme
tMax = 1.0 # s , total time
nTime = 200
ltime = np.linspace(0.0, tMax, nTime)
+p_con = pc0 # confining pressure
p_axi = 587387 # axial pressure, +12614 for reaching CSL
-p_con = 200000 # confining pressure
-e_con = p_con * (1 - 2 * nu) / E
-m.setImposedStress("SRR", {0: 0, 0.02: -p_con, 1.0: -p_con})
-m.setImposedStress("STT", {0: 0, 0.02: -p_con, 1.0: -p_con})
-# stress-controlled: works only until reaching the CSL
-m.setImposedStress("SZZ", {0: 0, 0.02: -p_con, 1.0: -p_axi})
-# strain-controlled: works, CSL reached asymptotically for EYY->inf
-# m.setImposedStrain('EZZ', {0:0, 0.02:-e_con, 1.0:-130*e_con})
+
+# Young's modulus: consistent initial value for the models
+E0 = 3 * (1 - 2 * nu) / (1 - phi0) * p_con / ka
+
+e_con = p_con * (1 - 2 * nu) / E0
+e_axi = 16 * e_con
# Environment parameters
m.setExternalStateVariable("Temperature", 293.15)
-m.setParameter("AmbientPressure", pamb)
# Material parameters
-m.setMaterialProperty("YoungModulus", E)
+if mcc_model == "ModCamClay_semiExpl_constE":
+ m.setMaterialProperty("YoungModulus", E0)
+ m.setParameter("AmbientPressure", pamb)
+ print("Young Modulus set to E =", E0 / 1e6, " MPa")
+if mcc_model in (
+ "ModCamClay_semiExpl",
+ "ModCamClay_semiExpl_absP",
+):
+ m.setMaterialProperty("InitialVolumeRatio", v0)
m.setMaterialProperty("PoissonRatio", nu)
m.setMaterialProperty("CriticalStateLineSlope", M)
m.setMaterialProperty("SwellingLineSlope", ka)
@@ -50,6 +68,23 @@ m.setMaterialProperty("CharacteristicPreConsolidationPressure", pc0)
m.setInternalStateVariableInitialValue("PreConsolidationPressure", pc0)
m.setInternalStateVariableInitialValue("VolumeRatio", v0)
+# Set initial stress and strain state
+eps_init = [-e_con, -e_con, -e_con, 0.0]
+sig_init = [-p_con, -p_con, -p_con, 0.0]
+m.setStress(sig_init)
+m.setStrain(eps_init)
+
+m.setImposedStress("SRR", {0: -p_con, 0.02: -p_con, 1.0: -p_con})
+m.setImposedStress("STT", {0: -p_con, 0.02: -p_con, 1.0: -p_con})
+
+if control == "stress":
+ # stress-controlled: works only until reaching the CSL
+ m.setImposedStress("SZZ", {0: -p_con, 0.02: -p_con, 1.0: -p_axi})
+if control == "strain":
+ # Strain-controlled: works, CSL reached asymptotically for EZZ->inf
+ m.setImposedStrain("EZZ", {0: -e_con, 0.02: -e_con, 1.0: -e_axi})
+ print("confining strain in z direction: ", e_con)
+
s = mtest.MTestCurrentState()
wk = mtest.MTestWorkSpace()
m.completeInitialisation()
@@ -57,15 +92,22 @@ m.initializeCurrentState(s)
m.initializeWorkSpace(wk)
# initialize output lists
-pCurve = np.array([pamb])
+pCurve = np.array([pamb + p_con])
qCurve = np.array([0.0])
eVCurve = np.array([0.0])
eQCurve = np.array([0.0])
lpCurve = np.array([0.0])
pcCurve = np.array([pc0])
phiCurve = np.array([phi0])
-strains = np.empty(shape=(6, nTime))
-stresses = np.empty(shape=(6, nTime))
+strains = np.empty(shape=(4, nTime))
+stresses = np.empty(shape=(4, nTime))
+
+# stresses[0][:] = sig_init
+for k in range(4):
+ strains[k][0] = eps_init[k]
+
+for k in range(4):
+ stresses[k][0] = sig_init[k]
# initialize yield functions
nPoints = 1000
@@ -151,7 +193,6 @@ print("final normal stress in z direction: ", s.s1[1], "Pa")
print("final von Mises stress: ", vMstress, "Pa")
print("final hydrostatic pressure: ", pressure, "Pa")
print("final pre-consolidation pressure: ", pc, "Pa")
-print("confining strain in z direction: ", e_con)
# plots
fig, ax = plt.subplots()
@@ -184,6 +225,7 @@ ax.set_xlabel("$p$ / Pa")
ax.set_ylabel("$q$ / Pa")
ax.grid()
ax.legend()
+fig.tight_layout()
fig.savefig("ModCamClay_TriaxStudy_YieldSurface.pdf")
fig, ax = plt.subplots()
diff --git a/MaterialLib/SolidModels/MFront/ModCamClay_semiExpl.mfront b/MaterialLib/SolidModels/MFront/ModCamClay_semiExpl.mfront
new file mode 100644
index 0000000000000000000000000000000000000000..7dc9595e305d998ac8b991398aee1ad28260fcea
--- /dev/null
+++ b/MaterialLib/SolidModels/MFront/ModCamClay_semiExpl.mfront
@@ -0,0 +1,233 @@
+@DSL Implicit;
+@Behaviour ModCamClay_semiExpl;
+@Author Christian Silbermann, Eric Simo, Miguel Mánica, Thomas Helfer, Thomas Nagel;
+@Date 10/01/2023;
+@Description{
+ The modified cam-clay model according to Callari (1998):
+ "A finite-strain cam-clay model in the framework of multiplicative elasto-plasticity"
+ but here in a consistent geometrically linear form (linearized volume ratio evolution)
+ semi-explicit due to explicit volume ratio update at the end of time step,
+ nonlinear hypoelastic behavior: pressure-dependent bulk modulus, constant Poisson ratio,
+ incremental formulation assuming constant elastic parameters over the time step,
+ normalized plastic flow direction, lower limit for a minimal pre-consolidation pressure,
+}
+
+/* Domain variables: dt (time increment)
+ (Input) theta (implicit time integration parameter)
+ eto, deto (total strain (increment))
+ eel, deel (elastic strain (increment))
+ sig (stress)
+ dlp (plastic increment)
+ dpc (pre-consolidation pressure increment)
+
+ Output: feel (strain residual depending on deel, dlp, dpc)
+ flp (yield function residual depending on deel, dpc)
+ fpc (pc evolution residual depending on deel, dlp, dpc, dphi)
+ df..._dd... partial derivatives of the residuals
+ */
+
+@Theta 1.0; // time integration scheme
+@Epsilon 1e-14; // tolerance of local stress integration algorithm
+@MaximumNumberOfIterations 20; // for local local stress integration algorithm
+@ModellingHypotheses{".+"}; // supporting all stress and strain states
+@Algorithm NewtonRaphson; //_NumericalJacobian;_LevenbergMarquardt
+
+// material parameters
+@MaterialProperty real nu;
+@PhysicalBounds nu in [-1:0.5];
+nu.setGlossaryName("PoissonRatio");
+
+@MaterialProperty real M;
+@PhysicalBounds M in [0:*[;
+M.setEntryName("CriticalStateLineSlope");
+
+@MaterialProperty real ka;
+@PhysicalBounds ka in [0:*[;
+ka.setEntryName("SwellingLineSlope");
+
+@MaterialProperty real la;
+@PhysicalBounds la in [0:*[;
+la.setEntryName("VirginConsolidationLineSlope");
+
+@MaterialProperty stress pc_char;
+pc_char.setEntryName("CharacteristicPreConsolidationPressure");
+@PhysicalBounds pc_char in [0:*[;
+
+// Initial value of the volume ratio represents the operating point for the linearization.
+@MaterialProperty real v0;
+@PhysicalBounds v0 in [1:*[;
+v0.setEntryName("InitialVolumeRatio");
+
+// state variables (beside eel):
+// A "standard" state variable is a persistent state variable and an integration variable.
+@StateVariable real lp;
+lp.setGlossaryName("EquivalentPlasticStrain");
+
+// Reduced (normalized) pre-consolidation pressure for better integration performance
+@IntegrationVariable strain rpc;
+
+// An auxiliary state variable is a persistent variable but not an integration variable.
+@AuxiliaryStateVariable stress pc;
+pc.setEntryName("PreConsolidationPressure");
+
+@AuxiliaryStateVariable real epl_V;
+epl_V.setEntryName("PlasticVolumetricStrain");
+
+@AuxiliaryStateVariable real v;
+@PhysicalBounds v in [1:*[;
+v.setEntryName("VolumeRatio"); // Total volume per solid volume = inv(1 - porosity)
+
+// local variables
+@LocalVariable StressStensor sig0;
+@LocalVariable StiffnessTensor dsig_deel;
+@LocalVariable bool withinElasticRange;
+@LocalVariable real M2;
+@LocalVariable real young;
+@LocalVariable real pc_min;
+@LocalVariable real rpc_min;
+
+@InitLocalVariables
+{
+ tfel::raise_if(la < ka, "Invalid parameters: la<ka");
+ M2 = M * M;
+
+ // update sig0
+ sig0 = sig;
+
+ // compute elastic stiffness (constant during time step)
+ const auto p = -trace(sig) / 3;
+ const auto K = v0 / ka * p;
+ const auto E = 3.0 * K * (1.0 - 2*nu);
+
+ young = E;
+ rpc = pc / young;
+ pc_min = 0.5e-8 * pc_char;
+ rpc_min = pc_min / young;
+
+ // stress derivative
+ dsig_deel = E / (1.0 + nu) * Stensor4::K() + K * Stensor4::IxI();
+
+ // elastic trial stress
+ const auto sig_el = sig0 + dsig_deel * deto;
+
+ // elastic estimators
+ const auto s_el = deviator(sig_el);
+ const auto q_el = std::sqrt(1.5 * s_el | s_el);
+ const auto p_el = -trace(sig_el) / 3;
+
+ const auto pc_el = pc;
+ const auto f_el = q_el * q_el + M2 * p_el * (p_el - pc_el);
+ withinElasticRange = f_el < 0;
+}
+
+@ComputeStress {
+ sig = sig0 + theta * dsig_deel * deel;
+}
+
+@Integrator
+{
+ constexpr const auto id2 = Stensor::Id();
+ constexpr const auto Pr4 = Stensor4::K();
+ const auto the = v0 / (la - ka);
+
+ // elastic range:
+ if (withinElasticRange)
+ {
+ feel -= deto;
+ return true;
+ }
+ // plastic range:
+ const auto epsr = strain(1.e-12);
+ // calculate invariants from current stress sig
+ const auto s = deviator(sig);
+ const auto q = std::sqrt(1.5 * s | s);
+ const auto p = -trace(sig) / 3;
+ // update the internal (state) variables (rpc holds the old value!)
+ const auto rpc_new = rpc + theta * drpc;
+ const auto pc_new = rpc_new * young;
+ // calculate the direction of plastic flow
+ const auto f = q * q + M2 * p * (p - pc_new);
+ const auto df_dp = M2 * (2 * p - pc_new);
+ const auto df_dsig = eval(3 * s - df_dp * id2 / 3);
+ auto norm = std::sqrt(6 * q * q + df_dp * df_dp / 3); // = std::sqrt(df_dsig|df_dsig);
+ norm = std::max(norm, epsr * young);
+ const auto n = df_dsig / norm;
+ const auto ntr = -df_dp / norm;
+ // plastic strain and volumetric part
+ const auto depl = eval(dlp * n);
+ const auto deplV = trace(depl);
+
+ const auto fchar = pc_char * young;
+
+ // residual
+ feel = deel + depl - deto;
+ flp = f / fchar;
+ frpc = drpc + deplV * the * (rpc_new - rpc_min);
+
+ // auxiliary derivatives
+ const auto dnorm_dsig = (9 * s - 2 * M2 / 9 * df_dp * id2) / norm;
+ const auto dn_ddeel = (3 * Pr4 + 2 * M2 / 9 * (id2 ^ id2) - (n ^ dnorm_dsig)) / norm * dsig_deel * theta;
+ const auto dn_ddrpc = (id2 + df_dp * n / norm) * M2 / (3 * norm) * theta * young;
+ const auto dfrpc_ddeplV = the * (rpc_new - rpc_min);
+
+ // jacobian (all other parts are zero)
+ dfeel_ddeel += dlp * dn_ddeel;
+ dfeel_ddlp = n;
+ dfeel_ddrpc = dlp * dn_ddrpc;
+
+ dflp_ddeel = (df_dsig | dsig_deel) * theta / fchar; // in case of problems with zero use:
+ dflp_ddlp = strain(0); // (q<epsr) ? strain(1) : strain(0);
+ dflp_ddrpc = -M2 * p * theta / fchar * young;
+
+ dfrpc_ddlp = dfrpc_ddeplV * ntr;
+ dfrpc_ddeel = dfrpc_ddeplV * dlp * (id2 | dn_ddeel);
+ dfrpc_ddrpc = 1 + deplV * the * theta + dfrpc_ddeplV * dlp * trace(dn_ddrpc);
+}
+
+@ComputeFinalStress {
+ // updating the stress at the end of the time step
+ sig = sig0 + dsig_deel * deel;
+}
+
+// explicit treatment as long as change of v (or e) during time increment is small
+@UpdateAuxiliaryStateVariables
+{
+ pc += drpc * young;
+ const auto deelV = trace(deel);
+ const auto detoV = trace(deto);
+ epl_V += detoV - deelV;
+ v += v0 * detoV;
+}
+
+@AdditionalConvergenceChecks
+{
+ if (converged)
+ {
+ if (!withinElasticRange)
+ {
+ if (dlp < 0)
+ {
+ converged = false;
+ withinElasticRange = true;
+ }
+ }
+ }
+}
+
+@TangentOperator // because no Brick StandardElasticity
+{
+ if ((smt == ELASTIC) || (smt == SECANTOPERATOR))
+ {
+ Dt = dsig_deel;
+ }
+ else if (smt == CONSISTENTTANGENTOPERATOR)
+ {
+ Stensor4 Je;
+ getPartialJacobianInvert(Je);
+ Dt = dsig_deel * Je;
+ }
+ else
+ {
+ return false;
+ }
+}
diff --git a/MaterialLib/SolidModels/MFront/ModCamClay_semiExpl_absP.mfront b/MaterialLib/SolidModels/MFront/ModCamClay_semiExpl_absP.mfront
new file mode 100644
index 0000000000000000000000000000000000000000..4ce070c89892a6ef051259a800d1444448bf1fdf
--- /dev/null
+++ b/MaterialLib/SolidModels/MFront/ModCamClay_semiExpl_absP.mfront
@@ -0,0 +1,277 @@
+@DSL Implicit;
+@Behaviour ModCamClay_semiExpl_absP;
+@Author Christian Silbermann, Eric Simo, Miguel Mánica, Thomas Helfer, Thomas Nagel;
+@Date 16/01/2023;
+@Description{
+ The modified cam-clay model according to Callari (1998):
+ "A finite-strain cam-clay model in the framework of multiplicative elasto-plasticity"
+ but here in a consistent geometrically linear form (linearized volume ratio evolution)
+ semi-explicit due to explicit volume ratio update at the end of time step,
+ nonlinear hypoelastic behavior: pressure-dependent bulk modulus, constant Poisson ratio,
+ absolute/integral formulation taking into account pressure-dependent elastic parameters,
+ normalized plastic flow direction, lower limit for a minimal pre-consolidation pressure,
+}
+
+/* Domain variables: dt (time increment)
+ (Input) theta (implicit time integration parameter)
+ eto, deto (total strain (increment))
+ eel, deel (elastic strain (increment))
+ sig (stress)
+ dlp (plastic increment)
+
+ Output: feel (strain residual depending on deel, dlp, dpc)
+ flp (yield function residual depending on deel, dpc)
+ fpc (pc evolution residual depending on deel, dlp, dpc, dphi)
+ df..._dd... partial derivatives of the residuals
+ */
+
+@Theta 1.0; // time integration scheme
+@Epsilon 1e-14; // tolerance of local stress integration algorithm
+@MaximumNumberOfIterations 20; // for local local stress integration algorithm
+@ModellingHypotheses{".+"}; // supporting all stress and strain states
+@Algorithm NewtonRaphson; //_NumericalJacobian;_LevenbergMarquardt
+
+// material parameters
+@MaterialProperty real nu;
+@PhysicalBounds nu in [-1:0.5];
+nu.setGlossaryName("PoissonRatio");
+
+@MaterialProperty real M;
+@PhysicalBounds M in [0:*[;
+M.setEntryName("CriticalStateLineSlope");
+
+@MaterialProperty real ka;
+@PhysicalBounds ka in [0:*[;
+ka.setEntryName("SwellingLineSlope");
+
+@MaterialProperty real la;
+@PhysicalBounds la in [0:*[;
+la.setEntryName("VirginConsolidationLineSlope");
+
+@MaterialProperty stress pc_char;
+pc_char.setEntryName("CharacteristicPreConsolidationPressure");
+@PhysicalBounds pc_char in [0:*[;
+
+// Initial value of the volume ratio represents the operating point for the linearization.
+@MaterialProperty real v0;
+@PhysicalBounds v0 in [1:*[;
+v0.setEntryName("InitialVolumeRatio");
+
+// state variables (beside eel):
+// A "standard" state variable is a persistent state variable and an integration variable.
+@StateVariable real lp;
+lp.setGlossaryName("EquivalentPlasticStrain");
+
+// An auxiliary state variable is a persistent variable but not an integration variable.
+@AuxiliaryStateVariable stress pc;
+pc.setEntryName("PreConsolidationPressure");
+
+@AuxiliaryStateVariable real epl_V;
+epl_V.setEntryName("PlasticVolumetricStrain");
+
+@AuxiliaryStateVariable real v;
+@PhysicalBounds v in [1:*[;
+v.setEntryName("VolumeRatio"); // Total volume per solid volume = inv(1 - porosity)
+
+// local variables
+@LocalVariable StiffnessTensor dsig_deel;
+@LocalVariable StressStensor s0;
+@LocalVariable bool withinElasticRange;
+@LocalVariable real M2;
+@LocalVariable real young;
+@LocalVariable real pc_min;
+@LocalVariable stress p0;
+
+@Includes{
+#ifndef MFRONT_PRESSUREDEPENDANTBULKMODULUS_IMPLEMENTATION
+#define MFRONT_PRESSUREDEPENDANTBULKMODULUS_IMPLEMENTATION 1
+ // compute the stress
+ template <unsigned short N, typename stress, typename strain>
+ void computeStress(tfel::math::st2tost2<N, stress> & dsig_deel,
+ tfel::math::stensor<N, stress> & sig,
+ tfel::math::stensor<N, stress> & s0,
+ const stress p0,
+ const tfel::math::stensor<N, strain>& eel,
+ const tfel::math::stensor<N, strain>& deel,
+ const double nu, const strain v0_ka)
+ {
+ using namespace tfel::math;
+ using Stensor = tfel::math::stensor<N, strain>;
+ using Stensor4 = tfel::math::st2tost2<N, strain>;
+
+ constexpr auto id = Stensor::Id();
+ const auto deelV = trace(deel);
+ const auto deelD = deviator(deel);
+ const auto alpha = 3 * (1 - 2 * nu) / (2 * (1 + nu));
+
+ // incremental computation of the hydrostatic pressure
+ const auto p = p0 * exp(-v0_ka * deelV);
+ const auto K = v0_ka * p;
+ const auto G = alpha * K;
+ // incremental form of Hooke's law for deviatoric stress
+ const auto s = s0 + 2 * G * deelD;
+ sig = s - p * id;
+ // stress derivative
+ dsig_deel = 2 * G * Stensor4::K() + K * Stensor4::IxI();
+ } // end of computeStress
+#endif /* MFRONT_PRESSUREDEPENDANTBULKMODULUS_IMPLEMENTATION */
+}
+
+
+@ComputeStress{
+ const auto eps_el = StrainStensor{eel};
+ const auto deps_el = StrainStensor{deel};
+ ::computeStress(dsig_deel, sig, s0, p0, eps_el, deps_el, nu, v0/ka);
+}
+
+@InitLocalVariables
+{
+ tfel::raise_if(la < ka, "Invalid parameters: la<ka");
+ M2 = M * M;
+
+ // get deviator and pressure from current stress
+ const auto s = deviator(sig);
+ const auto p = -trace(sig) / 3;
+ const auto K = v0/ka * p;
+
+ young = 3.0 * K * (1.0 - 2*nu);
+ pc_min = 0.5e-8 * pc_char;
+
+ s0 = s;
+ p0 = p;
+
+ // computation of the elastic prediction (does not work for plane stress!)
+ const auto eps_el = StrainStensor{eel + deto};
+ const auto deps_el = StrainStensor{deto};
+ auto sig_el = StressStensor{};
+ ::computeStress(dsig_deel, sig_el, s0, p0, eps_el, deps_el, nu, v0/ka);
+
+ // elastic estimators
+ const auto s_el = deviator(sig_el);
+ const auto q_el = std::sqrt(1.5 * s_el | s_el);
+ const auto p_el = -trace(sig_el) / 3;
+
+ const auto pc_el = pc;
+ const auto f_el = q_el * q_el + M2 * p_el * (p_el - pc_el);
+ withinElasticRange = f_el < 0;
+}
+
+@Integrator
+{
+ constexpr const auto id2 = Stensor::Id();
+ constexpr const auto Pr4 = Stensor4::K();
+ const auto the = v0 / (la - ka);
+
+ // elastic range:
+ if (withinElasticRange)
+ {
+ feel -= deto;
+ return true;
+ }
+ // plastic range:
+ const auto epsr = strain(1.e-12);
+ // calculate invariants from current stress sig
+ const auto s = deviator(sig);
+ const auto q = std::sqrt(1.5 * s | s);
+ const auto p = -trace(sig) / 3;
+ // update the internal (state) variables (pc holds the old value!)
+ const auto deelV = trace(deel);
+ const auto detoV = trace(deto);
+ auto deplV = detoV - deelV;
+ const auto pc_new = (pc - pc_min) * exp(-the * deplV) + pc_min;
+ // calculate the direction of plastic flow
+ const auto f = q * q + M2 * p * (p - pc_new);
+ const auto df_dp = M2 * (2 * p - pc_new);
+ const auto df_ds = 3 * s;
+ const auto df_dpc = -M2 * p;
+ const auto df_dsig = eval(3 * s - df_dp * id2 / 3);
+ auto norm = std::sqrt(6 * q * q + df_dp * df_dp / 3); // = std::sqrt(df_dsig|df_dsig);
+ norm = std::max(norm, epsr * young);
+ const auto n = df_dsig / norm;
+ const auto ntr = -df_dp / norm;
+ // plastic strain and volumetric part
+ const auto depl = eval(dlp * n);
+ deplV = trace(depl);
+
+ const auto fchar = pc_char * young;
+
+ // residual
+ feel = deel + depl - deto;
+ flp = f / fchar;
+
+ const auto alpha = 3 * (1 - 2 * nu) / (2 * (1 + nu));
+ const auto K = v0 / ka * p;
+ const auto G = alpha * K;
+
+ // auxiliary derivatives
+ const auto dp_ddeelV = -K;
+
+ const auto dn_dpc = 1 * (id2 + df_dp * n / norm) * M2 / (3 * norm);
+ const auto dn_dp = -2 * (id2 + df_dp * n / norm) * M2 / (3 * norm);
+
+ const auto dn_ddeelD = 3 / norm * (Pr4 - 3 / norm * (n ^ s)) * 2 * G;
+ const auto dn_ddeelV = eval(dn_dp * dp_ddeelV ^ id2);
+ const auto dn_ddeel = dn_ddeelD + dn_ddeelV;
+
+ const auto dpc_ddeplV = -the * (pc - pc_min) * exp(-the * deplV);
+ const auto ddeplV_ddlp = ntr;
+ const auto ddeplV_dn = eval(dlp * id2);
+
+ const auto dpc_ddlp = dpc_ddeplV * ddeplV_ddlp;
+ const auto dpc_ddeel = dpc_ddeplV * (ddeplV_dn | dn_ddeel);
+ //const auto dpc_dn = dpc_ddeplV * ddeplV_dn;
+ //const auto dpc_ddeel = dpc_deplV * theta * dlp * (id2 | dn_ddeel);
+
+ // jacobian (all other parts are zero)
+ const auto dfeel_dpc = dlp * dn_dpc;
+ dfeel_ddeel += dlp * dn_ddeel + eval(dfeel_dpc ^ dpc_ddeel);
+ dfeel_ddlp = n + dfeel_dpc * dpc_ddlp;
+
+ dflp_ddeel = (6 * s *G + df_dp * dp_ddeelV * id2 + df_dpc * dpc_ddeel) / fchar;
+ dflp_ddlp = strain(0) + 1 * df_dpc * dpc_ddlp / fchar;
+}
+
+// explicit treatment as long as change of v (or e) during time increment is small
+@UpdateAuxiliaryStateVariables
+{
+ const auto deelV = trace(deel);
+ const auto detoV = trace(deto);
+ const auto deplV = detoV - deelV;
+ epl_V += deplV;
+ pc = (pc - pc_min) * exp(-v0 / (la - ka) * deplV) + pc_min;
+ v += v0 * detoV;
+}
+
+@AdditionalConvergenceChecks
+{
+ if (converged)
+ {
+ if (!withinElasticRange)
+ {
+ if (dlp < 0)
+ {
+ std::cout << " Negative plastic increment! " << std::endl;
+ converged = false;
+ withinElasticRange = true;
+ }
+ }
+ }
+}
+
+@TangentOperator // because no Brick StandardElasticity
+{
+ if ((smt == ELASTIC) || (smt == SECANTOPERATOR))
+ {
+ Dt = dsig_deel;
+ }
+ else if (smt == CONSISTENTTANGENTOPERATOR)
+ {
+ Stensor4 Je;
+ getPartialJacobianInvert(Je);
+ Dt = dsig_deel * Je;
+ }
+ else
+ {
+ return false;
+ }
+}
diff --git a/MaterialLib/SolidModels/MFront/ModCamClay_semiExpl_constE.mfront b/MaterialLib/SolidModels/MFront/ModCamClay_semiExpl_constE.mfront
index 0d5dd181883d096c5a9f1535faab6f4d998ada2e..e0346711277ceae44bd30c13e589934e4c12e29b 100644
--- a/MaterialLib/SolidModels/MFront/ModCamClay_semiExpl_constE.mfront
+++ b/MaterialLib/SolidModels/MFront/ModCamClay_semiExpl_constE.mfront
@@ -130,11 +130,11 @@ v.setEntryName("VolumeRatio"); // Total volume per solid volume = inv(1 - poros
const auto q = std::sqrt(1.5 * s | s);
const auto p = -trace(sig) / 3 + pamb;
// update the internal (state) variables (rpc holds the old value!)
- const auto rpcNew = rpc + theta * drpc;
- const auto pcNew = rpcNew * young;
+ const auto rpc_new = rpc + theta * drpc;
+ const auto pc_new = rpc_new * young;
// calculate the direction of plastic flow
- const auto f = (q * q + M2 * p * (p - pcNew));
- const auto df_dp = M2 * (2 * p - pcNew);
+ const auto f = (q * q + M2 * p * (p - pc_new));
+ const auto df_dp = M2 * (2 * p - pc_new);
const auto df_dsig = eval(3 * s - df_dp * id2 / 3);
auto norm =
std::sqrt(6 * q * q + df_dp * df_dp / 3); // = std::sqrt(df_dsig|df_dsig);
@@ -142,7 +142,7 @@ v.setEntryName("VolumeRatio"); // Total volume per solid volume = inv(1 - poros
const auto n = df_dsig / norm;
const auto ntr = -df_dp / norm;
// plastic strain and volumetric part
- auto depl = eval(dlp * n);
+ const auto depl = eval(dlp * n);
const auto deplV = trace(depl);
const auto fchar = pc_char * young;
@@ -150,7 +150,7 @@ v.setEntryName("VolumeRatio"); // Total volume per solid volume = inv(1 - poros
// residual
feel += depl;
flp = f / fchar;
- frpc = drpc + deplV * the * (rpcNew - rpc_min);
+ frpc = drpc + deplV * the * (rpc_new - rpc_min);
// auxiliary derivatives
const auto dnorm_dsig = (9 * s - 2 * M2 / 9 * df_dp * id2) / norm;
@@ -159,7 +159,7 @@ v.setEntryName("VolumeRatio"); // Total volume per solid volume = inv(1 - poros
theta;
const auto dn_ddrpc =
(id2 + df_dp * n / norm) * M2 / (3 * norm) * theta * young;
- const auto dfrpc_ddeplV = the * (rpcNew - rpc_min);
+ const auto dfrpc_ddeplV = the * (rpc_new - rpc_min);
// jacobian (all other parts are zero)
dfeel_ddeel += dlp * dn_ddeel;
diff --git a/ProcessLib/SmallDeformation/Tests.cmake b/ProcessLib/SmallDeformation/Tests.cmake
index 5cdf0488059b9321ecfea0ccffd1d7474f63e281..5733f96fb526964741f45c8b93168f8fe52dc816 100644
--- a/ProcessLib/SmallDeformation/Tests.cmake
+++ b/ProcessLib/SmallDeformation/Tests.cmake
@@ -93,7 +93,9 @@ if (OGS_USE_MFRONT)
OgsTest(PROJECTFILE Mechanics/Burgers/cube_1e0_mfront_mod.prj)
OgsTest(PROJECTFILE Mechanics/ModifiedCamClay/square_1e0_shear.prj)
OgsTest(PROJECTFILE Mechanics/ModifiedCamClay/square_1e0_biax.prj)
- OgsTest(PROJECTFILE Mechanics/ModifiedCamClay/model_triaxtest.prj)
+ OgsTest(PROJECTFILE Mechanics/ModifiedCamClay/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/model_triaxtest.prj b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest.prj
similarity index 92%
rename from Tests/Data/Mechanics/ModifiedCamClay/model_triaxtest.prj
rename to Tests/Data/Mechanics/ModifiedCamClay/triaxtest.prj
index 22d55549c7471a6c6496a45f94b1c79b2fb903b2..0f06ed038244c77f1cdee867a3e3300e604a17e6 100644
--- a/Tests/Data/Mechanics/ModifiedCamClay/model_triaxtest.prj
+++ b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest.prj
@@ -31,6 +31,7 @@
</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>
@@ -132,7 +133,7 @@
<parameter>
<name>YoungModulus</name>
<type>Constant</type>
- <value>52e6</value> <!--Pa-->
+ <value>64.9345e6</value> <!--Pa-->
</parameter>
<parameter>
<name>PoissonRatio</name>
@@ -192,7 +193,7 @@
<value>-625.e3</value> <!--Pa-->
</parameter>
<parameter>
- <name>confining_pressure_value</name>
+ <name>loading_value_side</name>
<type>Constant</type>
<values>-200.e3</values> <!--Pa-->
</parameter>
@@ -200,19 +201,35 @@
<name>confining_pressure</name>
<type>CurveScaled</type>
<curve>pre_loading_curve</curve>
- <parameter>confining_pressure_value</parameter>
+ <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>0.0 0.32 1.0 </values>
+ <values>0.32 0.32 1.0 </values>
</curve>
<curve>
<name>pre_loading_curve</name>
<coords>0.0 0.02 1 </coords>
- <values>0.0 1.0 1.05 </values>
+ <values>1.0 1.0 1.05 </values>
</curve>
</curves>
<process_variables>
@@ -275,7 +292,7 @@
<vtkdiff>
<file>triaxtest_output_ts_99_t_0.484339.vtu</file>
<field>displacement</field>
- <absolute_tolerance>1e-14</absolute_tolerance>
+ <absolute_tolerance>7e-13</absolute_tolerance>
<relative_tolerance>0</relative_tolerance>
</vtkdiff>
<vtkdiff>
@@ -288,7 +305,7 @@
<vtkdiff>
<file>triaxtest_output_ts_99_t_0.484339.vtu</file>
<field>sigma</field>
- <absolute_tolerance>1e-7</absolute_tolerance>
+ <absolute_tolerance>2e-7</absolute_tolerance>
<relative_tolerance>0</relative_tolerance>
</vtkdiff>
<vtkdiff>
@@ -301,13 +318,13 @@
<vtkdiff>
<file>triaxtest_output_ts_99_t_0.484339.vtu</file>
<field>PreConsolidationPressure</field>
- <absolute_tolerance>9e-9</absolute_tolerance>
+ <absolute_tolerance>2e-7</absolute_tolerance>
<relative_tolerance>0</relative_tolerance>
</vtkdiff>
<vtkdiff>
<file>triaxtest_output_ts_199_t_1.000000.vtu</file>
<field>PreConsolidationPressure</field>
- <absolute_tolerance>1e-7</absolute_tolerance>
+ <absolute_tolerance>2e-7</absolute_tolerance>
<relative_tolerance>0</relative_tolerance>
</vtkdiff>
</test_definition>
diff --git a/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original.prj b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original.prj
new file mode 100644
index 0000000000000000000000000000000000000000..a6e8c715cc2d4c218254055681afaa2e6e3857e7
--- /dev/null
+++ b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original.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_semiExpl</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>1</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_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_output_ts_99_t_0.484339.vtu</file>
+ <field>displacement</field>
+ <absolute_tolerance>1e-14</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <vtkdiff>
+ <file>triaxtest_original_output_ts_199_t_1.000000.vtu</file>
+ <field>displacement</field>
+ <absolute_tolerance>7e-12</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <!--secondary field-->
+ <vtkdiff>
+ <file>triaxtest_original_output_ts_99_t_0.484339.vtu</file>
+ <field>sigma</field>
+ <absolute_tolerance>1e-7</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <vtkdiff>
+ <file>triaxtest_original_output_ts_199_t_1.000000.vtu</file>
+ <field>sigma</field>
+ <absolute_tolerance>2e-7</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <!--material-specific internal variable-->
+ <vtkdiff>
+ <file>triaxtest_original_output_ts_99_t_0.484339.vtu</file>
+ <field>PreConsolidationPressure</field>
+ <absolute_tolerance>9e-9</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <vtkdiff>
+ <file>triaxtest_original_output_ts_199_t_1.000000.vtu</file>
+ <field>PreConsolidationPressure</field>
+ <absolute_tolerance>2e-6</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ </test_definition>
+</OpenGeoSysProject>
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..5eb84c790cea7b9bc557f53fc5c47c03ee75a134
--- /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_semiExpl_absP</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>
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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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diff --git a/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original_output_ts_199_t_1.000000.vtu b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original_output_ts_199_t_1.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..cf0c844bd788fa843670b2679bada9f43ae6d2cf
--- /dev/null
+++ b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original_output_ts_199_t_1.000000.vtu
@@ -0,0 +1,42 @@
+<?xml version="1.0"?>
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+ </AppendedData>
+</VTKFile>
diff --git a/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original_output_ts_99_t_0.484339.vtu b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original_output_ts_99_t_0.484339.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..b7c5c75b5bd8a3fe6d32b37ab5e2d7a439423e70
--- /dev/null
+++ b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_original_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>
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+</VTKFile>
diff --git a/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_output_ts_199_t_1.000000.vtu b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_output_ts_199_t_1.000000.vtu
index f8115e71cc3f0fb05141fe19e3e86755504ccd3f..e8383e9a01460407a2dd2e984a235d52df2d382d 100644
--- a/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_output_ts_199_t_1.000000.vtu
+++ b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_output_ts_199_t_1.000000.vtu
@@ -2,42 +2,28 @@
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- <DataArray type="Float64" Name="sigma_ip" NumberOfComponents="4" NumberOfTuples="304" format="appended" RangeMin="691971.82024" RangeMax="691971.82024" offset="252" />
+ <DataArray type="Int8" Name="OGS_VERSION" NumberOfTuples="19" format="appended" RangeMin="45" RangeMax="103" offset="0" />
</FieldData>
<Piece NumberOfPoints="100" NumberOfCells="76" >
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diff --git a/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_output_ts_99_t_0.484339.vtu b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_output_ts_99_t_0.484339.vtu
index 789cb2295eaac637a67b6f834954abd87dac4bf5..4a3a0361bcda425deb274f77fd7738d944cadd4a 100644
--- a/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_output_ts_99_t_0.484339.vtu
+++ b/Tests/Data/Mechanics/ModifiedCamClay/triaxtest_output_ts_99_t_0.484339.vtu
@@ -2,42 +2,28 @@
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diff --git a/web/content/docs/benchmarks/small-deformations/ModifiedCamClay/ModifiedCamClay_report.pdf b/web/content/docs/benchmarks/small-deformations/ModifiedCamClay/ModifiedCamClay_report.pdf
index 81bf56db7286d684952f6a07c3ca5e64ba026775..1fef16001390362cf113c627ddb6f3098249b686 100644
Binary files a/web/content/docs/benchmarks/small-deformations/ModifiedCamClay/ModifiedCamClay_report.pdf and b/web/content/docs/benchmarks/small-deformations/ModifiedCamClay/ModifiedCamClay_report.pdf differ
diff --git a/web/content/docs/benchmarks/small-deformations/ModifiedCamClay/index.md b/web/content/docs/benchmarks/small-deformations/ModifiedCamClay/index.md
index 82e79cdddea87c95f1c20ca8c90b7129ff3a3c84..db16d14acad32a9d9b8985a7d71e6669c03a230e 100644
--- a/web/content/docs/benchmarks/small-deformations/ModifiedCamClay/index.md
+++ b/web/content/docs/benchmarks/small-deformations/ModifiedCamClay/index.md
@@ -1,6 +1,10 @@
+++
author = "Christian Silbermann, Thomas Nagel"
-project = ["Mechanics/ModifiedCamClay/square_1e0_shear.prj", "Mechanics/ModifiedCamClay/square_1e0_biax.prj", "Mechanics/ModifiedCamClay/model_triaxtest.prj"]
+project = ["Mechanics/ModifiedCamClay/square_1e0_shear.prj",
+ "Mechanics/ModifiedCamClay/square_1e0_biax.prj",
+ "Mechanics/ModifiedCamClay/triaxtest.prj",
+ "Mechanics/ModifiedCamClay/triaxtest_original.prj",
+ "Mechanics/ModifiedCamClay/triaxtest_original_abs.prj"]
date = "2020-12-14T14:39:39+01:00"
title = "Modified Cam clay model"
image = ""
@@ -8,10 +12,13 @@ image = ""
## Test cases
-Three tests are presented:
+Five tests are presented:
{{< data-link >}}
+of which the last three have the same test program but use different implementations of the modified Cam clay model.
+The mfront-files can be found at [here](MaterialLib/SolidModels/MFront).
+
## Problem description
We perform plane strain and axisymmetric mechanical tests using