Modeling A
==============


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

Modeling A is done in sub-integrated 3D (3D_ HM_SI), using STAT_NON_LINE.

The time step is from :math:`\mathrm{\Delta }t=\mathrm{0,4}\mathit{sec}` to :math:`t=\mathrm{9,6}\mathit{sec}` (purely elastic phase), then from :math:`\mathrm{\Delta }t=\mathrm{0,025}\mathit{sec}` to :math:`t=12\mathit{sec}` (plastic phase). The automatic redistribution of the time step is activated.


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


Tested values
~~~~~~~~~~~~~~~~

The solutions are calculated at point:math: `C` and compared to the solution given by SIMU_POINT_MAT at the final time:math: `t=12\ mathit {sec} `. They are given in terms of effective horizontal stress:math: `{\ mathrm {\ sigma}} _ {\ mathit {xx}}}`, hydraulic pressure:math: `p`, as well as those of plastic volume deformation:math: math: math: `{\ mathrm {\ epsilon}}} _ {v} ^ {p}` and plastic deviatoric deformation:math: `| {\ mathrm {\ epsilon}} _ {d} ^ {p} |=\ sqrt {\ frac {3} {2}\ left (\ mathrm {\ epsilon} -\ frac {{\ mathrm {\ mathrm {\ epsilon}}} _ {v} ^ {p}}} {3} I\ right)\ mathrm {:}\ left (\ mathron}} m {\ epsilon} -\ frac {{\ mathrm {\ mathrm {\ epsilon}}} _ {v} ^ {p}} {3} I\ right)} `, and summarized in the following table:


.. csv-table::

    ":math:`t=12\mathit{sec}` ", "Reference", "Relative Error", "Absolute Error"
    ":math:`{\mathrm{\sigma }}_{\mathit{xx}}` ", "-30777.31", "3.E-4", "-"
    ":math:`p` ", "-19226.58", "5.E-4", "-"
    ":math:`{\mathrm{\epsilon }}_{v}^{p}` ", "1.262378E-05", "-", "1.E-6"
    ":math:`{\mathrm{\epsilon }}_{d}^{p}` ", "2.270058E-05", "-", "1.E-6"


**Table** 2.2.1-1 **: Validation of results for modeling A**