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


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

:math:`\mathrm{2D}` axisymmetric modeling, AXIS:


.. image:: images/100007CC000069BB000067DFBB97E607D5BD7D2E.svg
    :width: 189
    :height: 185


.. _RefImage_100007CC000069BB000067DFBB97E607D5BD7D2E.svg:

**Boundary conditions:**

:math:`\mathit{N1}`: :math:`{u}_{y}=0`

:math:`\mathit{N2}`: :math:`{u}_{y}=0`

**Charging:**

Traction on the face :math:`\mathrm{[}34\mathrm{]}` (mesh SEG2)

Assigning the same temperature to all nodes

The total number of increments is :math:`501` (:math:`1` increment between :math:`t\mathrm{=}\mathrm{0s}` and :math:`t=\mathrm{1s}`, :math:`500` increments between :math:`t\mathrm{=}\mathrm{1s}` and :math:`t=\mathrm{2s}`)

Convergence is achieved if residue RESI_GLOB_RELA is less than or equal to :math:`{10}^{\mathrm{-}6}`.

**Behavior:**

For mechanical calculation, the keyword META_LEMA_ANI is used, with the following parameters (see [:ref:`R4.04.04 <R4.04.04>`] and [:ref:`R4.04.05 <R4.04.05>`]):

:math:`E=80000\mathrm{MPa}`

:math:`\nu =0.35`

:math:`{\alpha }_{f}=0.`

:math:`{\alpha }_{c}=0.`

:math:`{a}_{1}\mathrm{=}2.40\mathit{MPa}`

:math:`{m}_{1}=0.`

:math:`{n}_{1}\mathrm{=}4.40`

:math:`{Q}_{1}\mathrm{=}19900.K`

:math:`{M}_{\mathrm{rrrr}}^{1}=1.`

:math:`{M}_{\theta \theta \theta \theta }^{1}=1.`

:math:`{M}_{\mathrm{zzzz}}^{1}=1.`

:math:`{M}_{r\theta r\theta }^{1}=0.75`

:math:`{M}_{\mathrm{rzrz}}^{1}=0.75`

:math:`{M}_{\theta z\theta z}^{1}=0.75`

:math:`\mathit{TDEQ}=802.`

:math:`K=1.125E-2`

:math:`\text{NEQ}=2.217`

:math:`T1C=838.`

:math:`T2C=0.0`

:math:`\text{QSR\_K}=14600`

:math:`\mathit{AC}=1.60E-4`

:math:`M=\mathrm{4,5}`

:math:`T1R=950`

:math:`T2R=\mathrm{0,0}`

:math:`\mathit{AR}=-5.7`

:math:`\mathit{BR}=\mathrm{0,05}`

The parameters corresponding to mixture :math:`\alpha \beta` and to the hot phase do not play a role and are taken to be arbitrary.


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

Number of knots: 4

Number of meshes: 2

1 QUAD4

1 SEG2


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


.. csv-table::

    "**Identification**", "**Reference**"
    ":math:`t=2` Displacement :math:`\mathrm{DX}` (:math:`\mathrm{N3}`)", "-527.4259"
    ":math:`t=2` Constraints :math:`\mathrm{SIGYY}` (:math:`\mathrm{PG1}`)", "236.6860"
    ":math:`t=2` Variable :math:`p` :math:`V5` (:math:`\mathit{PG}1`)", "1.4984"
    ":math:`t=2` Variable :math:`{Z}_{b}` :math:`V6` (:math:`\mathrm{PG1}`)", "0.0"