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

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

The modeling used in the test case is as follows:

Elements :math:`\mathrm{2D}` **'** AXIS **' (** QUA8 **)**

**NB knot**

**NA node**

.. image:: images/100000000000021500000208E5614E2719692210.jpg
    :width: 3.1646in
    :height: 3.0874in


.. _RefImage_100000000000021500000208E5614E2719692210.jpg:

**Figure 3.1-a: Geometry and modeling mesh**


.. csv-table::

    "Cutting:", "5 stitches QUAD8selon the :math:`x` axis"
    "", "10 meshes QUAD8selon the :math:`y` axis"



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

Number of knots: 181

Number of meshes and types: 50 QUAD8, 30 SEG3.

Knot :math:`\mathit{NA}`: :math:`X\mathrm{=}\mathit{Rint},Y\mathrm{=}0.`

Knot :math:`\mathit{NB}`: :math:`X\mathrm{=}\mathit{Rext},Y\mathrm{=}0.`


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


.. csv-table::

    "**Identification**", "**Size**", "**Reference**"
    ":math:`t=49.2s` :math:`\mathit{NA}` "," SIXX ", "No regression"
    ":math:`t=49.2s` :math:`\mathit{NA}` "," SIZZ ", "No regression"
    ":math:`t=49.2s` :math:`\mathit{NA}` "," SIYY ", "No regression"
    ":math:`t=49.2s` :math:`\mathit{NA}` "," EPXX ", "No regression"
    ":math:`t=49.2s` :math:`\mathit{NA}` "," EPZZ ", "No regression"
    ":math:`t=49.2s` :math:`\mathit{NA}` "," EPYY ", "No regression"
    ":math:`t=49.2s` :math:`\mathit{NA}` ", "Cumulative viscous deformation V5", "Non-regression"
    ":math:`t=49.2s` :math:`\mathit{NA}` ", "Hill equivalent stress V8", "Non regression"
    ":math:`t=49.2s` :math:`\mathit{NA}` ", "Alpha V9 viscous stress", "Non-regression"
    ":math:`t=49.2s` :math:`\mathit{NA}` ", "Alpha/beta phase viscous stress V10", "Non-regression"
    ":math:`t=49.2s` :math:`\mathit{NA}` ", "V11 beta phase viscous stress", "Non-regression"



.. csv-table::

    "**Identification**", "**Size**", "**Reference**", "**Reference Value**"
    ":math:`t=44.4s` :math:`\mathit{NA}` ", "Proportion phase beta V6", "Analytics", "0.0"
    ":math:`t=47.6s` :math:`\mathit{NA}` ", "Proportion phase beta V6", "Other aster", "2.1496E-02"
    ":math:`t=49.2s` :math:`\mathit{NA}` ", "Proportion phase beta V6", "Other aster", "1.0664E-01"



.. csv-table::

    "**Identification**", "**Size**", "**Reference**", "**Reference Value**"
    ":math:`t=36.1s` :math:`\mathit{NA}` ", "Thermal Deformation V7", "Analytics", "0.004712"
    ":math:`t=46.0s` :math:`\mathit{NA}` ", "Thermal Deformation V7", "Analytics", "0.00654936"
    ":math:`t=49.2s` :math:`\mathit{NA}` ", "Thermal Deformation V7", "Analytics", "0.006996"



.. csv-table::

    "**Identification**", "**Size**", "**Reference**", "**Reference Value**"
    ":math:`t=46.0s` :math:`\mathit{NA}` ", "Phase Change Indicator V12", "Other aster", "0.0"
    ":math:`t=49.2s` :math:`\mathit{NA}` ", "Phase Change Indicator V12", "Other aster", "1.0"
    ":math:`t=49.2s` :math:`\mathit{NA}` ", "Phase Change Indicator V12", "Other aster", "1.0"



.. csv-table::

    "**Identification**", "**Size**", "**Reference**", "**Reference Value**"
    ":math:`t=44.4s` :math:`\mathit{NA}` ", "Instant where T= TDEQ V12", "Other aster", "0.0"
    ":math:`t=44.8s` :math:`\mathit{NA}` ", "Instant where T= TDEQ V12", "Other aster", "4.4477E+01"
    ":math:`t=49.2s` :math:`\mathit{NA}` ", "Instant where T= TDEQ V12", "Other aster", "4.4477E+01"



.. csv-table::

    "**Identification**", "**Size**", "**Reference**", "**Reference Value**"
    ":math:`t=44.4s` :math:`\mathit{NA}` ", "Instant where T= TFEQ V13", "Analytics", "0.0"
    ":math:`t=44.8s` :math:`\mathit{NA}` ", "Instant where T= TFEQ V13", "Analytics", "0.0"
    ":math:`t=49.2s` :math:`\mathit{NA}` ", "Instant where T= TFEQ V13", "Analytics", "0.0"