D modeling
==================


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

.. figure:: images/Object_44.svg
 :align: center
 :width: 480
 :height: 360
  
 Axisymmetric modeling.

.. _RefImage_Object_44.svg:

.. list-table:: Caractéristiques du maillage.
  
 * - Number of knots
   - 8
 * - Number of meshes
   - | 1 of the QUAD 8 type
     | 4 of the SEG3 type
     

We define the mesh*AB*, *BC*, *BC*, *CD* and *DA*. To represent 1/4 of the structure, the boundary conditions are as follows:

*On*AB*, :math:`DY=0`;

*On*AD*, :math:`DY=0`.

Equal pressure is imposed on the*BC* and *CD* meshes to simulate a hydrostatic test.


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

The :math:`\varepsilon_{xx}` component at the *C* node has been tested and compared to the reference solution:

.. list-table:: Résultats de la modélisation D.
  
 *-**Moment**
   - **Reference**
   - **Aster code**
 * - :math:`5000`
   - :math:`-0.00912014800`
   - :math:`-0.00912014817`
 * - :math:`6000`
   - :math:`-0.010153303`
   - :math:`-0.010153304`
 * - :math:`6500`
   - :math:`-0.01242118`
   - :math:`-0.01242118`
 * - :math:`7000`
   - :math:`-0.0145209`
   - :math:`-0.014520906`
 * - :math:`7500`
   - :math:`-0.016475700`
   - :math:`-0.016475704`
 * - :math:`8000`
   - :math:`-0.018304290`
   - :math:`-0.018304296`
 * - :math:`9000`
   - :math:`-0.016674090`
   - :math:`-0.016674097`
 * - :math:`10000`
   - :math:`-0.00652079300`
   - :math:`-0.00652079381`