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

In this modeling, we consider the structure in :math:`\mathrm{2D}`. The classical finite element method is used. Since the crack is meshed, the exchange condition between the lips of the crack is applied using the keywords GROUP_MA1/GROUP_MA2 of the keyword factor ECHANGE_PAROI of the operators AFFE_CHAR_THER and AFFE_CHAR_THER [:ref:`U4.44.02 <U4.44.02>`]. This modeling is used as a reference for the future.


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

We use the PLAN model of the THERMIQUE phenomenon.


Characteristics of the mesh
----------------------------

The structure is modelled by a regular mesh composed of :math:`100\times 100` QUAD8, respectively along the axes :math:`x` and :math:`y`. The crack is meshed.


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

The temperature is tested at the end of the last time step (:math:`t\mathrm{=}1\text{.}s`) at points :math:`{P}^{\text{+}}`, :math:`{P}^{\text{-}}` and :math:`Q` (see Figure).


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**"
    "Point :math:`{P}^{\text{+}}` - :math:`\mathit{TEMP}` ", "'AUTRE_ASTER'", "29,156091860463"," 0.1%"
    "Point :math:`{P}^{\text{-}}` - :math:`\mathit{TEMP}` ", "'AUTRE_ASTER'", "23,393394671258"," 0.1%"
    "Point :math:`Q` - :math:`\mathit{TEMP}` ", "'AUTRE_ASTER'", "26,25259365185"," 0.5%"