C modeling
==============


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

Modeling in plane deformations with second gradient: D_ PLAN_THMS_DIL

Second gradient stiffness: :math:`{a}_{1}=2.166\mathrm{.}{10}^{9}N`


Result of the C modeling
-----------------------------

This is a regression test to verify the use of the second gradient model in THMS.

**Node array at the time** :math:`5\mathrm{\times }{10}^{5}s` **:**


.. csv-table::

    ":math:`N°` **KNOT**", ":math:`\mathrm{COOR}\text{\_}X` "," "," :math:`\mathrm{COOR}\text{\_}Y` "," "," "," :math:`\mathrm{TEMP}(°C)` ", "**Tolerance** :math:`(\text{\%})`" :math:`(\text{\%})` :math:`\mathrm{PRE1}(\mathrm{Pa})`
    ":math:`2` ", "0"," :math:`20` "," "," :math:`43.31` "," "," :math:`{10}^{-6}` "," :math:`8.02\times {10}^{6}` "," :math:`{10}^{-6}`"
    ":math:`7` ", "0"," :math:`19.8` "," "," :math:`33.10` "," "," :math:`{10}^{-6}` "," :math:`7.79\times {10}^{6}` "," :math:`{10}^{-6}`"
    ":math:`12` ", "0"," :math:`19.6` "," "," :math:`24.68` "," "," :math:`{10}^{-6}` "," :math:`7.12\times {10}^{6}` "," :math:`{10}^{-6}`"
    ":math:`17` ", "0"," :math:`19.4` "," "," :math:`17.93` "," "," :math:`{10}^{-6}` "," :math:`6.10\times {10}^{6}` "," :math:`{10}^{-6}`"
    ":math:`22` ", "0"," :math:`19.2` "," "," :math:`12.68` "," "," :math:`{10}^{-6}` "," :math:`4.87\times {10}^{6}` "," :math:`{10}^{-6}`"