F modeling
==============


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

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

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

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

The mesh (Figure 3.2-1) includes:


* 120 SEG3 meshes;


* 900 QUAD8 meshes.


.. image:: images/10000000000002980000025C0864A6965A55B884.png
    :width: 3.3398in
    :height: 3.0374in


.. _RefImage_10000000000002980000025C0864A6965A55B884.png:

**Figure** 8.2-a **: The F** 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%"