Modeling E
==============


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

We test the criteria in formulas, 'MATAKE_MODI_AV', '', 'DANG_VAN_MODI_AV', 'FATESOCI_MODI_AV' (find the results of the test cases SSLV135B)


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

Meshing is not required.


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

For the criteria 'MATAKE_MODI_AV' and the associated formula criterion (SSLV135B)

For results with option COURBE_GRD_VIE =' WOHLER 'and for option COURBE_GRD_VIE =' FORM_VIE 'and FORMULE_VIE =' WHOL ':


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**"
    "component :math:`x` of :math:`{n}_{1}` and :math:`{n}_{2}` ", "'AUTRE_ASTER'", "-0.38268343236509
    0.38268343236509"
    "component :math:`y` of :math:`{n}_{1}` and :math:`{n}_{2}` ", "'AUTRE_ASTER'", "0.92718385456679
    0.92387953251129"
    "component :math:`z` of :math:`{n}_{1}` and :math:`{n}_{2}` ", "'AUTRE_ASTER'", "0.0000000000000E+00"
    ":math:`\text{ENDO}({n}_{1})` ", "'AUTRE_ASTER'", "7.0532362250863E-04"


In the table above, components :math:`x` and :math:`y` of :math:`{n}_{1}` and :math:`{n}_{2}` have two values because there are two vectors that correspond to the same damage value :math:`\text{ENDO}({n}_{1})` = :math:`\text{ENDO}({n}_{2})`.

For results with option COURBE_GRD_VIE = 'FORM_VIE' and FORMULE_VIE = WHOL_F:


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**"
    "component :math:`x` of :math:`{n}_{1}` and :math:`{n}_{2}` ", "'AUTRE_ASTER'", "-0.38268343236509
    0.38268343236509"
    "component :math:`y` of :math:`{n}_{1}` and :math:`{n}_{2}` ", "'AUTRE_ASTER'", "0.92718385456679
    0.92387953251129"
    "component :math:`z` of :math:`{n}_{1}` and :math:`{n}_{2}` ", "'AUTRE_ASTER'", "0.0000000000000E+00"
    ":math:`\text{ENDO}({n}_{1})` ", "'AUTRE_ASTER'", "3.3180845213285E-04"


In the table above, components :math:`x` and :math:`y` of :math:`{n}_{1}` and :math:`{n}_{2}` have two values because there are two vectors that correspond to the same damage value :math:`\text{ENDO}({n}_{1})` = :math:`\text{ENDO}({n}_{2})`.

For the criteria 'DANG_VAN_MODI_AV' and the associated formula criterion (SSLV135B)

For results with option COURBE_GRD_VIE =' WOHLER 'and for option COURBE_GRD_VIE =' FORM_VIE' and FORMULE_VIE = WHOL:


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**"
    "component :math:`x` of :math:`{n}_{1}` and :math:`{n}_{2}` ", "'AUTRE_ASTER'", "-7.0710678118655E-01
    7.0710678118655E-01"
    "component :math:`y` of :math:`{n}_{1}` and :math:`{n}_{2}` ", "'AUTRE_ASTER'", "7.0710678118655E-01", "''", "7.0710678118655E-01"
    "component :math:`z` of :math:`{n}_{1}` and :math:`{n}_{2}` ", "'AUTRE_ASTER'", "0.0000000000000E+00"
    ":math:`\text{ENDO}({n}_{1})` ", "'AUTRE_ASTER'", "1.3419917535855E-04", "1.3419917535855E-04"


In the table above, components :math:`x` and :math:`y` of :math:`{n}_{1}` and :math:`{n}_{2}` have two values because there are two vectors that correspond to the same damage value :math:`\text{ENDO}({n}_{1})` = :math:`\text{ENDO}({n}_{2})`.

For results with option COURBE_GRD_VIE = 'FORM_VIE' and FORMULE_VIE = WHOL_F:


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**"
    "component :math:`x` of :math:`{n}_{1}` and :math:`{n}_{2}` ", "'AUTRE_ASTER'", "-7.0710678118655E-01
    7.0710678118655E-01"
    "component :math:`y` of :math:`{n}_{1}` and :math:`{n}_{2}` ", "'AUTRE_ASTER'", "7.0710678118655E-01", "''", "7.0710678118655E-01"
    "component :math:`z` of :math:`{n}_{1}` and :math:`{n}_{2}` ", "'AUTRE_ASTER'", "0"
    ":math:`\text{ENDO}({n}_{1})` ", "'AUTRE_ASTER'", "8.7633062468223E-05"


In the table above, components :math:`x` and :math:`y` of :math:`{n}_{1}` and :math:`{n}_{2}` have two values because there are two vectors that correspond to the same damage value :math:`\text{ENDO}({n}_{1})` = :math:`\text{ENDO}({n}_{2})`.

For the criteria 'FATESOCI_MODI_AV' and the associated formula criterion (SSLV135B)

For results with option COURBE_GRD_VIE =' WOHLER ', COURBE_GRD_VIE =' FORM_VIE' and FORMULE_VIE = MANCO1:


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**"
    "component :math:`x` of :math:`{n}_{1}` and :math:`{n}_{2}` ", "'AUTRE_ASTER'", "-4.3837114678908E-01
    4.3837114678908E-01"
    "component :math:`y` of :math:`{n}_{1}` and :math:`{n}_{2}` ", "'AUTRE_ASTER'", "0.90258528434986"
    "component :math:`z` of :math:`{n}_{1}` and :math:`{n}_{2}` ", "'AUTRE_ASTER'", "0"
    ":math:`\text{ENDO}({n}_{1})` ", "'AUTRE_ASTER'", "0.43649132038876"


In the table above, the :math:`x` component of :math:`{n}_{1}` and :math:`{n}_{2}` has two values because there are two vectors that correspond to the same damage value :math:`\text{ENDO}({n}_{1})` = :math:`\text{ENDO}({n}_{2})`.