Modeling
=============


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

     Law of elasto-plastic behavior (*' VMIS_ISOT_TRAC '*)

**Charging:**

Pressure :math:`P` on the inner wall and the corresponding background effect.

:math:`P=36.97\mathit{MPa}`

Next bending moment (:math:`-Y`) distributed over the face of the upper pipe.

:math:`M=-5989.46\mathit{kNm}` where :math:`M` is the moment on the :math:`Y` axis.


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

Number of knots: 53794

Number of meshes and types:

 *3D_SI*: 8605 TETRA10 and 8425 HEXA20

 *3D*: 240 PENTA15, 290 PYRAM13


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

The value tested is the local energy recovery rate :math:`{J}_{\text{fond}}` on the node at the bottom of the crack. (option G from CALC_G). This value is tested for an integration ring defined by NB_COUCHE_INF =2 and NB_COUCHE_SUP =5.


.. csv-table::

    "**Identification**", "**Reference**", "**Calculated value** e", ":math:`\text{\%}` **tolerance**"
    "", "", "", ""
    ":math:`{J}_{\text{fond}}(\mathit{KJ}/m\mathrm{²})` ", "271.0", "272.147", "1"