B modeling
==============


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:**

The keywords ELAS and LEMAITRE are used, with the following parameters:

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

:math:`\nu =0.35`

:math:`n=4.39`

:math:`\frac{1}{K}=0.003944`

:math:`\text{UN\_SUR\_M}=0.`


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

Number of knots: 4

Number of meshes: 2

1 QUAD4

1 SEG2


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


.. csv-table::

    "**Identification**", "**Reference**", "**Tolerance**"
    ":math:`t\mathrm{=}2` Displacement :math:`\mathit{DX}` (:math:`\mathit{N3}`)", "-527.4259"," 1.0%"
    ":math:`t\mathrm{=}2` Constraints :math:`\mathit{SIGYY}` (:math:`\mathit{PG1}`)", "236.6860"," 1.0%"
    ":math:`t\mathrm{=}2` Variable :math:`p` :math:`\mathit{VARI}` (:math:`\mathit{PG1}`)", "1.4984"," 1.5%"