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


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

It is a nonlinear elasticity calculation under the hypothesis of small displacements, in axisymmetric mode. The crack is open in pure I mode. Only half of the structure is represented by symmetry.


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

The mesh is identical to that of modeling A.


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

The results obtained for three different integration rings are compared:


.. csv-table::

    "* crown 1: :math:`{R}_{\mathit{inf}}=10\mathit{mm}` ", ", "; :math:`{R}_{\text{sup}}=15\mathit{mm}`"
    "* crown 2: :math:`{R}_{\mathit{inf}}=15\mathit{mm}` ", ", "; :math:`{R}_{\text{sup}}=20\mathit{mm}`"
    "* crown 3: :math:`{R}_{\mathit{inf}}=20\mathit{mm}` ", ", "; :math:`{R}_{\text{sup}}=25\mathit{mm}`"


The reference values of G from method 3 POST_K1_K2_K3 selected as well as the associated details are provided in the table below.


.. csv-table::

    "**Calculation instant**", "**Surface effort**
    **taxed**
    (MPa)", "**Reference**: :math:`G(N/m)`
    From POST_K1_K2_K3 (method 3)", "**Tolerance**
    **(%)**"
    "1"," :math:`\mathrm{0,7}\ast \text{SY}=105` ", "3.35679E+03", "1.5"
    "2"," :math:`\text{SY}=150` ", "1.01970E+04", "0, 6"
    "3"," :math:`3\ast \text{SY}=450` ", "1.64979E+05", "0, 3"