C modeling
==============

Calculation with CALC_G and POST_K1_K2_K3 in axisymmetry.


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


.. image:: images/10000000000002EC00000242694E4526F965A179.png
    :width: 4.4874in
    :height: 3.4689in


.. _RefImage_10000000000002EC00000242694E4526F965A179.png:

This modeling makes it possible to test the calculation of :math:`\mathit{K1}` using POST_K1_K2_K3 (method for extrapolating movements on the lips of the crack) axisymmetrically.

Only the traction load is retained in this modeling.


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

Number of knots: 1477

Number of meshes and type: 402 QUAD8 and 60 TRIA6

The middle nodes of the edges of the elements touching the bottom of the crack are moved to a quarter of these edges, to obtain better precision.


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


.. csv-table::

    "**Identification**", "**Method**", "**Reference**", "**Reference Type**", ":math:`\text{\%}` **Tolerance**"
    ":math:`G` "," CALC_G/OptiONG", "11.6"," ANALYTIQUE ", "1.8"
    "", "", "", "", ""
    ":math:`\mathit{K1}` "," POST_K1_K2_K3 ", "1.60E+006"," ANALYTIQUE ", "3"
    ":math:`\text{G\_IRWIN}` "," POST_K1_K2_K3 ", "11.6", "11.6"," ANALYTIQUE ", "1.8"



note
---------

A STAT_NON_LINE command is added to validate the changes made on xpesro.f. The results obtained from this test case will be compared with those obtained from the sslv134i test cases for :math:`\text{X-FEM}` in axi-symmetric mode. In addition to the simple traction applied to the top and bottom edges of the plate, a rotation of :math:`150\mathit{trs}\mathrm{/}\mathit{min}` around the symmetric axis is applied.

With option G, :math:`G\mathrm{=}\mathrm{21,4}` and :math:`{K}_{1}=219E+05`.