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

Calculate with CALC_G and POST_K1_K2_K3 in 3D for modes 1 and 3.


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


.. image:: images/10000000000002EC000002429D32A376464251EB.png
    :width: 4.7118in
    :height: 3.6228in


.. _RefImage_10000000000002EC000002429D32A376464251EB.png:

The following boundary conditions are applied successively:


* traction: as for modeling B;


* twisting.

This modeling makes it possible to test the calculation of :math:`\mathrm{K1}` and :math:`\mathrm{K3}` combined using POST_K1_K2_K3 (method for extrapolating movements on the lips of the crack).

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.


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

Number of knots: 6536

Number of meshes and type: 432 PENTA15 and 987 HEXA20

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.


note
--------

Both load cases (traction and torsion) are taken into account. It is therefore necessary to combine the values of :math:`G` for both loads.

So

:math:`G(s)\mathrm{=}(11.586+7.356)\mathrm{=}18.943J\mathrm{/}{m}^{2}`

Only traction contributes to :math:`\mathrm{K1}`, only twisting contributes to :math:`\mathrm{K3}`.


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


.. csv-table::

    "**Identification**", "**Method**", "**Location**", "**Location**", "**Reference Type**", ":math:`\text{\%}` **Tolerance**"
    "G", "CALC_GLegendre ", "Node 49", "18.94"," ANALYTIQUE ", "3.0"
    "G", "CALC_GLegendre ", "Node 1710", "18.94"," ANALYTIQUE ", "2.0"
    "G", "CALC_GLegendre ", "Node 77", "18.94"," ANALYTIQUE ", "3.0"
    "", "", "", "", "", ""
    "K1"," POST_K1_K1_K3 ", "Node 49", "1.596 106"," ANALYTIQUE ", "1.0"
    "K1"," POST_K1_K1_K3 ", "Node 1710", "1.596 106"," ANALYTIQUE ", "1.0"
    "K1"," POST_K1_K1_K3 ", "Node 77", "1.596 106"," ANALYTIQUE ", "2.0"
    "", "", "", "", "", ""
    "K3"," POST_K1_K1_K3 ", "Node 49", "1.064 106"," ANALYTIQUE ", "2.0"
    "K3"," POST_K1_K1_K3 ", "Node 1710", "1.064 106"," ANALYTIQUE ", "2.0"
    "K3"," POST_K1_K1_K3 ", "Node 77", "1.064 106"," ANALYTIQUE ", "1.0"
    "", "", "", "", "", ""
    "G", "POST_K1_K1_K3 ", "Node 49", "18.94"," ANALYTIQUE ", "2.0"
    "G", "POST_K1_K1_K3 ", "Node 1710", "18.94"," ANALYTIQUE ", "2.0"
    "G", "POST_K1_K1_K3 ", "Node 77", "18.94"," ANALYTIQUE ", "2.0"