F modeling
==============


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

We are testing the criteria MATAKE_MODI_AC, DANG_VAN_MODI_AC, MATAKE_MODI_AV,, DANG_VAN_MODI_AV, FATESOCI_MODI_AV. We test the change in the direction of the critical plane on which the damage or shear is maximum (find the results of test cases SSLV135G)


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

Meshing is not required.


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


* **Criteria of** **DANG_VAN _ MODI_AC,** **of**, ****of**,** **of**, ****of**,** **of** DANG_VAN_MODI_AV ** MATAKE_MODI_AC

 For the results of :math:`{\phi }_{z}` to node :math:`\mathit{N1}` for elastic material.


.. csv-table::

    "**Value of** :math:`\alpha` ", "**Reference type**", "**Reference value**"
    "−1, -0.5, 0.. 10", "'ANALYTIQUE'", "45"


 For the results of :math:`{\phi }_{z}` at node :math:`\mathit{N1}` for an elastoplastic material.


.. csv-table::

    "**Value of** :math:`\alpha` ", "**Reference type**", "**Reference value**"
    "0, 1, 2, 3, 4", "'ANALYTIQUE'", "45"



*Criteria of** MATAKE_MODI_AV **


.. csv-table::

    "**Value of** :math:`\alpha` ", "**Reference type**", "**Reference value**"
    "−1", "'ANALYTIQUE'", "45"
    "−0.5", "'ANALYTIQUE'", "45.72"
    "0", "'ANALYTIQUE'", "46.43"
    "0.5", "'ANALYTIQUE'", "47.14"
    "1", "'ANALYTIQUE'", "47.86"
    "1.5", "'ANALYTIQUE'", "48.56"
    "2", "'ANALYTIQUE'", "49.27"
    "2.5", "'ANALYTIQUE'", "49.96"
    "3", "'ANALYTIQUE'", "50.65"
    "3.5", "'ANALYTIQUE'", "51.34"
    "4", "'ANALYTIQUE'", "52.02"
    "4.5", "'ANALYTIQUE'", "52.69"
    "5", "'ANALYTIQUE'", "53.35"
    "5.5", "'ANALYTIQUE'", "54"
    "6", "'ANALYTIQUE'", "54.65"
    "6.5", "'ANALYTIQUE'", "55.28"
    "7", "'ANALYTIQUE'", "55.9"
    "7.5", "'ANALYTIQUE'", "56.51"
    "8", "'ANALYTIQUE'", "57.11"
    "8.5", "'ANALYTIQUE'", "57.7"
    "9", "'ANALYTIQUE'", "58.28"
    "9.5", "'ANALYTIQUE'", "58.85"
    "10", "'ANALYTIQUE'", "59.41"


For the results of :math:`{\phi }_{z}` **at the knot** :math:`\mathit{N1}` for an elasto-plastic material.


.. csv-table::

    "**Value of** :math:`\alpha` ", "**Reference type**", "**Reference value**"
    "0", "'ANALYTIQUE'", "46.43"
    "1", "'ANALYTIQUE'", "47.86"
    "2", "'ANALYTIQUE'", "49.27"
    "3", "'ANALYTIQUE'", "50.65"
    "4", "'ANALYTIQUE'", "52.02"



* **Criteria of FATESOCI_MODI_AV**

For the results of :math:`{\varphi }_{z}` **at the knot** :math:`\mathit{N1}` for elastic material.


.. csv-table::

    "**Value of** :math:`\alpha` ", "**Reference type**", "**Reference value**"
    "−1", "'ANALYTIQUE'", "45"
    "−0.5", "'ANALYTIQUE'", "45.34"
    "0", "'ANALYTIQUE'", "45.67"
    "0.5", "'ANALYTIQUE'", "45.99"
    "1", "'ANALYTIQUE'", "46.31"
    "1.5", "'ANALYTIQUE'", "46.61"
    "2", "'ANALYTIQUE'", "46.91"
    "2.5", "'ANALYTIQUE'", "47.2"
    "3", "'ANALYTIQUE'", "47.48"
    "3.5", "'ANALYTIQUE'", "47.75"
    "4", "'ANALYTIQUE'", "48.01"
    "4.5", "'ANALYTIQUE'", "48.27"
    "5", "'ANALYTIQUE'", "48.51"
    "5.5", "'ANALYTIQUE'", "48.75"
    "6", "'ANALYTIQUE'", "48.98"
    "6.5", "'ANALYTIQUE'", "49.2"
    "7", "'ANALYTIQUE'", "49.42"
    "7.5", "'ANALYTIQUE'", "49.63"
    "8", "'ANALYTIQUE'", "49.83"
    "8.5", "'ANALYTIQUE'", "50.03"
    "9", "'ANALYTIQUE'", "50.22"
    "9.5", "'ANALYTIQUE'", "50.4"
    "10", "'ANALYTIQUE'", "50.58"


For the results of :math:`{\varphi }_{z}` **at the knot** :math:`\mathit{N1}` for an elasto-plastic material.


.. csv-table::

    "**Value of** :math:`\alpha` ", "**Reference type**", "**Reference value**"
    "0", "'ANALYTIQUE'", "45.67"
    "1", "'ANALYTIQUE'", "46.31"
    "2", "'ANALYTIQUE'", "46.91"
    "3", "'ANALYTIQUE'", "47.48"
    "4", "'ANALYTIQUE'", "48.01"