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


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

The model consists of:


* 1008 elements,


* 675 knots,

of which:


* 72 Q4G NTS elements,


* 144 T3G elements,


* 84 elements DSQ,


* 84 elements DKQ,


* 312 elements DST,


* 312 DKT items.

The elements are squares whose length is equal to :math:`0.05m`.

Edges :math:`\mathrm{AB}`, :math:`\mathrm{BC}`, :math:`\mathrm{CD}`, and :math:`\mathrm{DA}` are embedded.

The plate is subjected to a temperature gradient of :math:`100°C` in thickness. This gradient is uniform across the plate.


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

:math:`\mathrm{Rx}` = reaction according to :math:`\mathrm{Ox}`

:math:`\mathrm{Ry}` = reaction according to :math:`\mathrm{Oy}`


.. csv-table::

    "**Identification**", "**Reference Type**", "**Reference**", "**Tolerance**"
    ":math:`\mathrm{N104}` (on the :math:`\mathrm{AD}` edge in the mesh part in DKT)", "'ANALYTIQUE'", ":math:`\mathit{DRx}\mathrm{=}71.4286`
    :math:`\mathit{DRy}\mathrm{=}95.2381` "," :math:`3.{10}^{\mathrm{-}5}`
    :math:`3.{10}^{\mathrm{-}5}`"
    "", "", "", ""
    ":math:`\mathit{N260}` (on the :math:`\mathrm{AD}` edge in the mesh part in DSQ)", "'ANALYTIQUE'", ":math:`\mathit{DRx}\mathrm{=}71.4286`
    :math:`\mathit{DRy}\mathrm{=}95.2381` "," :math:`3.{10}^{\mathrm{-}5}`
    :math:`3.{10}^{\mathrm{-}5}`"
    "", "", "", ""
    ":math:`\mathrm{N270}` (on the :math:`\mathrm{AD}` edge in the Q4G mesh part)", "'ANALYTIQUE'", ":math:`\mathit{DRx}\mathrm{=}71.4286`
    :math:`\mathit{DRy}\mathrm{=}95.2381` "," :math:`3.{10}^{\mathrm{-}5}`
    :math:`3.{10}^{\mathrm{-}5}`"
    "", "", "", ""
    ":math:`\mathrm{N8}` (on the :math:`\mathrm{AB}` edge in the mesh part in DKT)", "'ANALYTIQUE'", ":math:`\mathit{DRx}\mathrm{=}95.2381`
    :math:`\mathit{DRy}\mathrm{=}71.4286` "," :math:`3.{10}^{\mathrm{-}5}`
    :math:`3.{10}^{\mathrm{-}5}`"
    "", "", "", ""
    ":math:`\mathrm{N21}` (on the :math:`\mathrm{AB}` edge in the mesh part in DST)", "'ANALYTIQUE'", ":math:`\mathit{DRx}\mathrm{=}95.2381`
    :math:`\mathit{DRy}\mathrm{=}71.4286` "," :math:`3.{10}^{\mathrm{-}5}`
    :math:`3.{10}^{\mathrm{-}5}`"
    "", "", "", ""
    ":math:`\mathrm{N102}` (on the :math:`\mathrm{BC}` edge in the mesh part in DST)", "'ANALYTIQUE'", ":math:`\mathit{DRx}\mathrm{=}71.4286`
    :math:`\mathit{DRy}\mathrm{=}95.2381` "," :math:`3.{10}^{\mathrm{-}5}`
    :math:`3.{10}^{\mathrm{-}5}`"
    "", "", "", ""
    ":math:`\mathrm{N466}` (on the :math:`\mathrm{BC}` edge in the mesh part in DKQ)", "'ANALYTIQUE'", ":math:`\mathit{DRx}\mathrm{=}71.4286`
    :math:`\mathit{DRy}\mathrm{=}95.2381` "," :math:`3.{10}^{\mathrm{-}5}`
    :math:`3.{10}^{\mathrm{-}5}`"
    "", "", "", ""



.. csv-table::

    "", "", "", ""
    ":math:`\mathit{N544}` (on the :math:`\mathit{BC}` edge in the T3G mesh part)", "'ANALYTIQUE'", ":math:`\mathit{DRx}\mathrm{=}71.4286`
    :math:`\mathit{DRy}\mathrm{=}95.2381` "," :math:`3.{10}^{\mathrm{-}5}`
    :math:`3.{10}^{\mathrm{-}5}`"
    "", "", "", ""
    ":math:`\mathit{N477}` (on the :math:`\mathit{CD}` edge in the Q4G mesh part)", "'ANALYTIQUE'", ":math:`\mathrm{DRx}=71.4286`
    :math:`\mathrm{DRy}=95.2381` "," :math:`3.{10}^{\mathrm{-}5}`
    :math:`3.{10}^{\mathrm{-}5}`"


.. csv-table::

    "", "", "", ""
    ":math:`\mathit{N666}` (on the :math:`\mathit{CD}` edge in the T3G mesh part)", "'ANALYTIQUE'", ":math:`\mathit{DRx}\mathrm{=}71.4286`
    :math:`\mathrm{DRy}=95.2381` "," :math:`3.{10}^{\mathrm{-}5}`
    :math:`3.{10}^{\mathrm{-}5}`"



notes
---------

The nodes tested are roughly placed as follows:


.. image:: images/Shape2.gif


.. _RefSchema_Shape2.gif: