D modeling
==============


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

The objective is to validate the compatibility of **CALC_ESSAI_GEOMECA** **with Iwan's law. The number of time increments is equal to 200. The initial containment pressure is :math:`{\mathrm{\sigma }}_{0}=50\mathit{kPa}`. The convergence criterion is** RESI_GLOB_RELA **** = 10-8.


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

The solutions are compared to the solution obtained directly by **SIMU_POINT_MAT** ** in the ssnv205b test case.

Case 1: :math:`{\text{d}\mathrm{ϵ}}_{\mathit{xy}}=2e-5`

.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**"
    ":math:`\mathit{SIXY}-\mathit{INST}=5` ", "'AUTRE_ASTER'", "-1297.65875776"," 0.5%"
    ":math:`\mathit{SIXY}-\mathit{INST}=10` ", "'AUTRE_ASTER'", "-2343.93741663"," 0.5%"
    ":math:`\mathit{SIXY}-\mathit{INST}=30` ", "'AUTRE_ASTER'", "2343.86416193"," 0.5%"
    ":math:`\mathit{SIXY}-\mathit{INST}=50` ", "'AUTRE_ASTER'", "-2343.86423947"," 0.5%"


Case 2: :math:`{\text{d}\mathrm{ϵ}}_{\mathit{xy}}=2e-4`

.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**"
    ":math:`\mathit{SIXY}-\mathit{INST}=5` ", "'AUTRE_ASTER'", "-7532.17502946"," 0.5%"
    ":math:`\mathit{SIXY}-\mathit{INST}=10` ", "'AUTRE_ASTER'", "-10852.9781787"," 0.5%"
    ":math:`\mathit{SIXY}-\mathit{INST}=20` ", "'AUTRE_ASTER'", "4213.07055785"," 0.6%"
    ":math:`\mathit{SIXY}-\mathit{INST}=30` ", "'AUTRE_ASTER'", "10852.9310857"," 0.5%"
    ":math:`\mathit{SIXY}-\mathit{INST}=40` ", "'AUTRE_ASTER'", "-4213.07619046"," 0.6%"
    ":math:`\mathit{SIXY}-\mathit{INST}=50` ", "'AUTRE_ASTER'", "-10852.9310864"," 0.5%"


Case 3: :math:`{\text{d}\mathrm{ϵ}}_{\mathit{xy}}=2e-3`

.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**"
    ":math:`\mathit{SIXY}-\mathit{INST}=5` ", "'AUTRE_ASTER'", "-19270.5640459"," 0.5%"
    ":math:`\mathit{SIXY}-\mathit{INST}=10` ", "'AUTRE_ASTER'", "-23316.7694931"," 0.5%"
    ":math:`\mathit{SIXY}-\mathit{INST}=20` ", "'AUTRE_ASTER'", "15228.3800807"," 0.5%"
    ":math:`\mathit{SIXY}-\mathit{INST}=30` ", "'AUTRE_ASTER'", "23315.5132772"," 0.5%"
    ":math:`\mathit{SIXY}-\mathit{INST}=40` ", "'AUTRE_ASTER'", "-15228.1639186"," 0.5%"
    ":math:`\mathit{SIXY}-\mathit{INST}=50` ", "'AUTRE_ASTER'", "-23315.469541"," 0.5%"


Table 8.2-1: Validation of results for modeling D