H modeling
==============

Characteristics of modeling
-----------------------------------

Simulation at the hardware point. The objective is to validate the compatibility of CALC_ESSAI_GEOMECA with the MCC behavior model. 
To do this, a monotonous drained triaxial test with imposed displacement ESSAI_TRIA_DR_M_D is carried out. 
The number of time steps is :math:`200`; the lockdown pressure is :math:`1` MPa; 
the maximum axial deformation is equal to 5% under compression. The convergence criterion is :math:`10^{-10}`.

The parameters for model MCC are given in :numref:`v6.07.112-table_parametres_MCC`.

.. _v6.07.112-table_parametres_MCC:

.. list-table:: Paramètres du modèle MCC utilisés dans la modélisation H.
  
 *-**Effect**
   - **Appellation**
   - **Definition**
   - **Symbol**
   - **Value**
 * - Isotropic nonlinear elasticity
   - | *BulkModulus*
     | *ShearModulus*
     | *SwellingIndex*
   - | Compressibility module
     | Shear module
     | Elastic nonlinearity index
   - |:math: `K`
     |:math: `\ mu`
     |:math: `\ kappa`
   - | 160 MPa
     | 100 MPa
     | 50
 * - Initial elasticity domain
   - | *initCritPress*
     | *critstateSlope*
     | *TensileYieldStress*
   - | Initial critical pressure
     | Critical state slope
     | Isotropic tensile strength
   - |:math: `p_ {c0} `
     |:math: `M`
     |:math: `\ sigma_0`
   - | 1 MPa
     | 1
     | 10 kPa
 * - Kinematic-isotropic work hardening
   - | *IncoplastIndex*
   - | Plastic incompressibility index
   - |:math: `\ beta`
   - | 50  


Tested sizes and results
------------------------------

Two non-regression tests are carried out at the end of the test on components SIG_LAT (lateral stress, SIXX or SIYY) and SIG_AXI (axial stress, SIZZ) components. 
Note that these constraints are positive (convention followed here by soil mechanics). The responses correspond to an evolution with positive work-hardening and contractiveness.

.. list-table::
  
 *-**Size**
   - **Aster code**
 * - SIG_LAT
   - :math:`1000000` Not
 * - SIG_AXI 
   - :math:`2392637.9437635597` Not
   
  
.. list-table:: 
   :width: 100%
 :class: borderless


   * -.. figure:: images/modelizationH_ EPS_AXI_QDEV .png
          :align: center
          :width: 960
          :height: 360

          Equivalent stress responses QDEV (Pa) with axial deformation EPS_AXI.
         
     -.. figure:: images/modelizationH_ EPS_AXI_EPS_VOL .png
          :align: center
          :width: 960
          :height: 360

          Volume deformation responses EPS_VOL with axial deformation EPS_AXI.