B modeling
==============


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

In this modeling, the simplex method is tested for crack propagation.

Level-sets are determined by solving the updating equations.


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

The same mesh as in modeling A. is used here.


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

For each propagation step, we test the value of the stress intensity factors :math:`{K}_{I}` and :math:`{K}_{\mathrm{II}}` given by CALC_G.


Results on :math:`{K}_{I}`:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


.. csv-table::

    "**Identification**", "**Code_Aster**", "**Reference**", "**difference**"
    "CALC_G ", "", "", ""
    "KI_1 ", "4.1749 106", "4.205998 106", "4.205998 106", "0.73%"
    "KI_2 ", "4.6025 106", "4.63286 106", "4.6025 106", "0.65%"
    "KI_3 ", "5.0675 106", "5.09492 106", "5.0675 106", "0.54%"
    "KI_4 ", "5.5758 106", "5.59908 106", "0.41%"
    "KI_5 ", "6.1344 106", "6.15349 106", "6.1344 106", "0.31%"
    "KI_6 ", "6.7511 106", "6.76776 106", "0.24%"
    "KI_7 ", "7.4352 106", "7.4531 106", "7.4352 106", "0.24%"
    "KI_8 ", "8,1976 106", "8,2224 106", "0,30%"
    "KI_9 ", "9.0516 106", "9.0905 106", "0.42%"
    "KI_10 ", "1.0013 106", "1.0074 107", "0.60%"
    "KI_11 ", "1.1101 106", "1.192.106", "1.192.107", "0.80%"
    "KI_12 ", "1.2341 106", "1.2465 107", "0.98%"
    "KI_13 ", "1.37608 106", "1.3916 106", "1.3916 107", "1.09%"
    "KI_14 ", "1.5405 106", "1.55716 107", "1.06%"
    "KI_15 ", "1.7317 106", "1.74586 107", "0.80%"



Results on :math:`{K}_{\mathrm{II}}`:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


.. csv-table::

    "**Identification**", "**Code_Aster**", "**Reference**"
    "CALC_G ", "", ""
    "KII_1 ", "-294.543283239", "0"
    "KII_2 ", "140.53299141", "0"
    "KII_3 ", "-92.1854404834", "0"
    "KII_4 ", "31.5966858116", "0"
    "KII_5 ", "-22.0812184567", "0"
    "KII_6 ", "1.80888843609", "0"
    "KII_7 ", "-14.6528361549", "0"
    "KII_8 ", "-12.9336699382", "0"
    "KII_9 ", "-21.8747247036", "0"
    "KII_10 ", "-27.5009059699", "0"
    "KII_11 ", "-36.8193114189", "0"
    "KII_12 ", "-47.1435134216", "0"
    "KII_13 ", "-60.5512354886", "0"
    "KII_14 ", "-77.2532857738", "0"
    "KII_15 ", "-98.7961435219", "0"