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


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

The modeling used in the test case is as follows:

**2D elements AXIS (QUA8)**


.. image:: images/Object_1.svg
    :width: 355
    :height: 328


.. _RefImage_Object_1.svg:

**Figure 3.1-a: Geometry and mesh of the modeling used**


.. csv-table::

    "Cutting:", "5 QUAD8 meshes along the :math:`x` axis"
    "", "5 QUAD8 meshes along the :math:`y` axis"


Knots:

:math:`A`: knit :math:`\mathit{M13}` knot :math:`\mathit{N39}`

:math:`B`: knit :math:`\mathit{M19}` knot :math:`\mathit{N66}`

:math:`C`: knit :math:`\mathit{M19}` knot :math:`\mathit{N70}`


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

Number of knots: 96

Number of meshes and types: 25 QUAD8, 20 SEG3.


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


.. csv-table::

    "**Identification**", "**Size**", "**Reference**"
    "t=30s M13 N39"," :math:`\mathit{V1}` ", "1.0"
    "t=30s M19 N66"," :math:`\mathit{V3}` ", "315.0"
    "t=120s M13 N39"," :math:`\mathit{V1}` ", "0.0"
    "t=120s M19 N66"," :math:`\mathit{V3}` ", "1200.0"
    "t=240s M13 N39"," :math:`\mathit{V1}` ", "0.9999"
    "t=240s M19 N70"," :math:`\mathit{V3}` ", "20.0"


:math:`\mathit{V1}`: proportion of the cold phase :math:`\alpha`

:math:`\mathit{V2}`: proportion of the cold phase :math:`\alpha`, mixed with the phase :math:`\beta`

:math:`\mathit{V3}`: temperatures at knots

:math:`\mathit{V4}`: time corresponding to the start or end temperature of transformation at equilibrium