O modeling
==============


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

Meshing with ``3D_ INCO_UP "and" DEFORMATION =' GDEF_LOG '``elements
incompressible types PENTA15 only.


.. image:: images/100000000000021000000165F7E8B7418F1BD67E.png
    :width: 3.1492in
    :height: 2.1256in


.. _RefImage_100000000000021000000165F7E8B7418F1BD67E.png:

The boundary conditions are:

* Zero vertical displacement on 'FACSUP' and 'FACINF' faces
  :math:`\mathit{AEFD}` (:math:`z=0` and :math:`z=0.01`): DZ = 0.
* Normal movement stuck on the 'FACEAB' faces (side :math:`\mathit{AB}`,
  DX = 0) and 'FACEEF' (side :math:`\mathit{EF}`, DNOR = 0.)
* Imposed displacement on the inside of the cylinder 'FACEAE':
  face :math:`\mathit{AE}` DNOR = -6.10-5


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

Number of knots: 1861

Number of meshes: 480 PENTA15


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

Displacements and constraints are evaluated in points :math:`A` and :math:`F`. The components of field SIEQ_NOEU are tested at point :math:`A` only.


+------------------+----------------------------+------------------+-------------+-------------+
|**Identification**                             |**Reference type**|**Reference**|**Tolerance**|
+------------------+----------------------------+------------------+-------------+-------------+
|:math:`A`         |:math:`\mathit{u}` (X)      |ANALYTIQUE        |             | #. 10-5     |
+                  +                            +                  +             +             +
|                  |                            |                  |             |             |
+------------------+----------------------------+------------------+-------------+-------------+
|                  |:math:`\mathit{v}` (DY)     |ANALYTIQUE        | #. 10-5     | #. 10-3     |
+                  +                            +                  +             +             +
|                  |                            |                  |             |             |
+------------------+----------------------------+------------------+-------------+-------------+
|                  |:math:`\mathit{\sigma_{xx}}`|ANALYTIQUE        |99.9566      |0.0002       |
+------------------+----------------------------+------------------+-------------+-------------+
|                  |:math:`\mathit{\sigma_{yy}}`|ANALYTIQUE        |-59.9955     |0.003        |
+------------------+----------------------------+------------------+-------------+-------------+
|                  |:math:`\mathit{\sigma_{zz}}`|ANALYTIQUE        |19.9326      |0.007        |
+------------------+----------------------------+------------------+-------------+-------------+
|                  |:math:`\mathit{\sigma_{xy}}`|ANALYTIQUE        |             |0.0008       |
+------------------+----------------------------+------------------+-------------+-------------+
|                  |VMIS                        |ANALYTIQUE        |138.5226     |0.001        |
+------------------+----------------------------+------------------+-------------+-------------+
|                  |TRESCA                      |ANALYTIQUE        |159.9521     |0.001        |
+------------------+----------------------------+------------------+-------------+-------------+
|                  |PRIN_1                      |ANALYTIQUE        |-59.9955     |0.003        |
+------------------+----------------------------+------------------+-------------+-------------+
|                  |PRIN_2                      |ANALYTIQUE        |19.9326      |0.008        |
+------------------+----------------------------+------------------+-------------+-------------+
|                  |PRIN_3                      |ANALYTIQUE        |99.9566      |0.0002       |
+------------------+----------------------------+------------------+-------------+-------------+
|                  |VMIS_SG                     |ANALYTIQUE        |138.5226     |0.001        |
+------------------+----------------------------+------------------+-------------+-------------+


+------------------+----------------------------+------------------+-------------+-------------+
|**Identification**                             |**Reference type**|**Reference**|**Tolerance**|
+------------------+----------------------------+------------------+-------------+-------------+
|:math:`F`         |:math:`\mathit{u}` (X)      |ANALYTIQUE        |-2.1217 10-5 | #. 10-3     |
+                  +                            +                  +             +             +
|                  |                            |                  |             |             |
+------------------+----------------------------+------------------+-------------+-------------+
|                  |:math:`\mathit{v}` (DY)     |ANALYTIQUE        |2.1217 10-5  | #. 10-3     |
+                  +                            +                  +             +             +
|                  |                            |                  |             |             |
+------------------+----------------------------+------------------+-------------+-------------+
|                  |:math:`\mathit{\sigma_{xx}}`|ANALYTIQUE        |20.003       |0.007        |
+------------------+----------------------------+------------------+-------------+-------------+
|                  |:math:`\mathit{\sigma_{yy}}`|ANALYTIQUE        |20.003       |0.0006       |
+------------------+----------------------------+------------------+-------------+-------------+
|                  |:math:`\mathit{\sigma_{zz}}`|ANALYTIQUE        |20.003       | #. 10-5     |
+                  +                            +                  +             +             +
|                  |                            |                  |             |             |
+------------------+----------------------------+------------------+-------------+-------------+
|                  |:math:`\mathit{\sigma_{xy}}`|ANALYTIQUE        |20.003       |0.0004       |
+------------------+----------------------------+------------------+-------------+-------------+