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


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

It is a modeling in plane deformations (D_ PLAN).

Young's modulus :math:`{E}_{1}={E}_{2}` and Poisson's coefficients :math:`{\nu }_{1}={\nu }_{2}` are :math:`1.0E9\mathit{Pa}` and :math:`0.2` respectively. The pressure applied to the outer edge is :math:`1.0E7+\mathrm{10E5.cos}(2\theta )(\mathit{Pa})`, :math:`\theta` being the polar angle.


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

The mesh (Figure 3.2-1) includes:


* 240 SEG2 meshes;


* 3120 QUAD4 meshes.


.. image:: images/10000000000002B90000025501B1BA1B66FA7C6C.png
    :width: 3.0752in
    :height: 2.6335in


.. _RefImage_10000000000002B90000025501B1BA1B66FA7C6C.png:

**Figure** 3.2-a **: The A** modeling mesh**


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

The minimum value and the maximum value of the movements and of the contact pressure at the interface are tested.


.. csv-table::

    "**Identification**", "**Reference Type**", "**Reference Value**", "**Tolerance**"
    "DX max (calcul_1)", "analytics", "0.00441230599078"," 0.1%"
    "DY max (calcul_1)", "analytics", "0.00422769400922"," 0.1%"
    "LAGS_C max (calcul_1)", "analytics", "-9852073.73272"," 0.1%"
    "DX min (calcul_1)", "analytics", "-0.00441230599078"," 0.1%"
    "DY min (calcul_1)", "analytics", "-0.00422769400922"," 0.1%"
    "LAGS_C min (calcul_1)", "analytics", "-10147926.2673"," 0.1%"
    "DX max (calcul_2)", "analytics", "0.00441230599078"," 0.1%"
    "DY max (calcul_2)", "analytics", "0.00422769400922"," 0.1%"
    "DX min (calcul_2)", "analytics", "-0.00441230599078"," 0.1%"
    "DY min (calcul_2)", "analytics", "-0.00422769400922"," 0.1%"