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


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

It is a modeling in plane deformations (D_ PLAN). Absorbent borders are modeled by D_ PLAN_ABSO elements.


.. image:: images/100000000000033E0000025B48AE9902E4AAFA33.png
    :width: 5.1516in
    :height: 3.7425in


.. _RefImage_100000000000033E0000025B48AE9902E4AAFA33.png:


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

Number of knots: 646

Number of meshes and types: 600 QUAD4, 245 SEG2


.. csv-table::

    "Crown 1:", ":math:`{R}_{\text{inf}}=3.` "," :math:`{R}_{\text{sup}}=10.`"
    "Crown 2:", ":math:`{R}_{\text{inf}}=5.` "," :math:`{R}_{\text{sup}}=15.`"
    "Crown 3:", ":math:`{R}_{\text{inf}}=5.` "," :math:`{R}_{\text{sup}}=18.`"



Boundary conditions
----------------------

Compulsory trips:


.. csv-table::

    "Node group :math:`\mathit{grnm}1` "," :math:`\mathit{DY}=0.`"
    "Node group :math:`\mathit{grnm}2` "," :math:`\mathit{DX}=0.`"
    "Node group :math:`\mathit{grnm}3` "," :math:`\mathit{DX}\mathrm{=}0.` :math:`\mathit{DY}\mathrm{=}0.`"



Results
---------

The values tested are those of the :math:`G` energy restoration rate on the various integration rings.


.. csv-table::

    "**Identification**", "**Reference Type**", "**Reference**", "Tolerance :math:`\text{\%}`"
    "Instant :math:`t=2e-3` ", "", "", ""
    ":math:`G`, crown no. 1", "'ANALYTIQUE'", "5.67700E5", "1,4"
    ":math:`G`, crown #2", "'ANALYTIQUE'", "5.67700E5", "1,4"
    ":math:`G`, crown #3", "'ANALYTIQUE'", "5.67700E5", "1,4"
    "Instant :math:`t=4e-3` ", "", "", ""
    ":math:`G`, crown no. 1", "'ANALYTIQUE'", "1.135000E6", "1.4"
    ":math:`G`, crown no. 2", "'ANALYTIQUE'", "1.135000E6", "1,4"
    ":math:`G`, crown #3", "'ANALYTIQUE'", "1.135000E6", "1,4"
    "Instant :math:`t=6e-3` ", "", "", ""
    ":math:`G`, crown no. 1", "'ANALYTIQUE'", "1.703000E6", "1,4"
    ":math:`G`, crown #2", "'ANALYTIQUE'", "1.703000E6", "1,4"
    ":math:`G`, crown #3", "'ANALYTIQUE'", "1.703000E6", "1.703000E6", "1,4"