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


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

     Law of linear elastic behavior (*' ELAS '*)

**Barsoum elements**: *OPTION =' NOEUD_QUART '* on the *GROUP_NO_FOND =' FRONT_NODES '* using the command *MODI_MAILLAGE*

**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}}^{e}` 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}}^{e}(\mathit{kJ}/m\mathrm{²})` ", "1.91 101", "1.94 101", "2"