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


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

Material point (use of SIMU_POINT_MAT). Two resolution methods are tested:


* IMPLICITE


* RUNGE_KUTTA


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

**Implicit integration**


.. csv-table::

    "**Identification**", "**Instant**", "**Reference**", "**Implicit aster**", ":math:`\text{\%}` **difference**"
    ":math:`{\sigma }_{\mathrm{xx}}` ", "0.5", "156.115", "156.115", "0"
    ":math:`{\sigma }_{\mathrm{xx}}` ", "1.5", "-163.886", "-163.886", "0"
    ":math:`{\sigma }_{\mathrm{xx}}` ", "2.5", "163.182", "163.182", "0"


**Explicit integration (Runge-Kutta)**


.. csv-table::

    "**Identification**", "**Instant**", "**Reference**", "**Explicit aster**", ":math:`\text{\%}` **difference**"
    ":math:`{\sigma }_{\mathrm{xx}}` ", "0.5", "156.115", "156.115", "156.211", "0.1"
    ":math:`{\sigma }_{\mathrm{xx}}` ", "1.5", "-163.886", "-163.974", "0.1"
    ":math:`{\sigma }_{\mathit{xx}}` ", "2.5", "163.182", "163.281", "0.1"