Modeling I
==============


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

Modeling: 3D.

Law of linear elastic behavior.

The pre-deformation introduced via the keyword PRE_EPSI in AFFE_CHAR_MECA is defined by an analytical function.

This calculation consists of a 3D modeling of the D model, which is axisymmetric.


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

The mesh is obtained from that of modeling A and extended by revolution around the :math:`\vec{\mathit{oy}}` axis over an angle of 90° over 10 elements. The rest of the structure is not represented by symmetry.


.. image:: images/100000000000057400000259BF0AEA1BCA90D92E.jpg
    :width: 6.2008in
    :height: 2.6689in


.. _RefImage_100000000000057400000259BF0AEA1BCA90D92E.jpg:

Number of knots: 11433

Number of meshes and types:


* 90 TETRA10


* 270 HEXA27


* 140 PYRAM13


* 3360 PENTA15

Elements of BARSOUM are used for the meshes connected to the bottom of the crack.


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

Only the point in the middle of the crack front shown is tested.


.. csv-table::

    "**Identification**", ":math:`G` **(Reference)**", ":math:`\text{\%}` Tolerance"
    "Crown 1: :math:`\mathrm{Rinf}=1`, :math:`\text{Rsup}=5` ", "0.6305"," :math:`\text{0.0 1 \%}`"
    "Crown 2: :math:`\mathrm{Rinf}=5`, :math:`\text{Rsup}=10`", "0.6304"," :math:`\text{0.0 1 \%}`"
    "Crown 3: :math:`\mathrm{Rinf}=10`, :math:`\text{Rsup}=20` ", "0.6303"," :math:`\text{0.0 1 \%}`"
    "Crown 4: :math:`\mathrm{Rinf}=20`, :math:`\text{Rsup}=30`", "0.6302"," :math:`\text{0.0 1 \%}`"