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


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

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

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

:math:`M=-5216\mathit{kNm}` where :math:`M` is the moment on the :math:`Y` axis.


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

Number of knots: 40733

Number of meshes and types:

 *3D_ INCO_UPG*: 8865 TETRA10, 5580, 5580 HEXA20 and 240 PENTA15

 *3D*: 295 PYRAM13


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

The value tested is the local energy release rate :math:`{J}_{\text{fond}}` on the node at the bottom of the crack (option G of 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})` ", "9.8102", "1.25410", "31"
 



**Note**

 In the reference used [:ref:`bib1 <bib1>`], no comparison value is available for the law of behavior *' VMIS_ISOT_TRAC '.* Indeed, this reference only uses a non-linear elastic law of behavior. Hence the significant difference observed for this F modeling.