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


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

We test the criteria in formulas (find the results of test case SSLV135D), 'MATAKE_MODI_AC' DANG_VAN_MODI_AC (find the results of the test cases SSLV135A);


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

Meshing is not required.


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

For the sizes of SSLV135D:


+--------------------------------+------------------+-------------------+
|**Identification**              |**Reference type**|**Reference value**|
+--------------------------------+------------------+-------------------+
| .. code::                      |'ANALYTIQUE'      |7.5E-4             |
+                                +                  +                   +
|    'DEPSPE'                    |                  |                   |
+--------------------------------+------------------+-------------------+
| .. code::                      |'ANALYTIQUE'      |7.625E-4           |
+                                +                  +                   +
|    'EPSPR1'                    |                  |                   |
+--------------------------------+------------------+-------------------+
| .. code::                      |'ANALYTIQUE'      |200                |
+                                +                  +                   +
|    'SIGNM1'                    |                  |                   |
+--------------------------------+------------------+-------------------+
| .. code::                      |'ANALYTIQUE'      |66.6666            |
+                                +                  +                   +
|    'APHYDR'                    |                  |                   |
+--------------------------------+------------------+-------------------+
| .. code::                      |'ANALYTIQUE'      |0.45               |
+                                +                  +                   +
|    'DENDIS'                    |                  |                   |
+--------------------------------+------------------+-------------------+
| .. code::                      |'ANALYTIQUE'      |0.173333           |
+                                +                  +                   +
|    'DENDIE'                    |                  |                   |
+--------------------------------+------------------+-------------------+
| .. code::                      |'ANALYTIQUE'      |200                |
+                                +                  +                   +
|    'DSIGEQ'                    |                  |                   |
+--------------------------------+------------------+-------------------+
| .. code::                      |'ANALYTIQUE'      |1.75E-3            |
+                                +                  +                   +
|    'EPSNM1'                    |                  |                   |
+--------------------------------+------------------+-------------------+
| .. code::                      |'ANALYTIQUE'      |1.616666E-3        |
+                                +                  +                   +
|    'INVA2S'                    |                  |                   |
+--------------------------------+------------------+-------------------+
| .. code::                      |'ANALYTIQUE'      |50                 |
+                                +                  +                   +
|    'DSITRE'                    |                  |                   |
+--------------------------------+------------------+-------------------+
| .. code::                      |'ANALYTIQUE'      |6.0625E-4          |
+                                +                  +                   +
|    'DEPTRE'                    |                  |                   |
+--------------------------------+------------------+-------------------+
| .. code::                      |'ANALYTIQUE'      |3.67423E-3         |
+                                +                  +                   +
|    'DEPTRE'                    |                  |                   |
+--------------------------------+------------------+-------------------+
| .. code::                      |'ANALYTIQUE'      |0.00086666666      |
+                                +                  +                   +
|    'DEPSEE'                    |                  |                   |
+--------------------------------+------------------+-------------------+


For the criteria 'MATAKE_MODI_AC' and the associated formula criterion (SSLV135A) with the option COURBE_GRD_VIE = 'WOHLER' and for the option COURBE_GRD_VIE = 'FORM_VIE' and FORMULE_VIE = WHOL:


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**"
    ":math:`\Delta \tau ({n}_{1})` ", "'ANALYTIQUE'", "1 *.* 500000E *+* 02"
    "component :math:`x` of :math:`{n}_{1}` ", "'ANALYTIQUE'", "—7.071068E-01", "''", "—7.071068E-01"
    "component :math:`y` of :math:`{n}_{1}` ", "'ANALYTIQUE'", "7.071068E-01", "''", "7.071068E-01"
    "component :math:`z` of :math:`{n}_{1}` ", "'ANALYTIQUE'", "0.0"
    ":math:`{N}_{\text{max}}({n}_{1})` ", "'ANALYTIQUE'", "5.000000E+01"
    ":math:`{N}_{m}({n}_{1})` ", "'ANALYTIQUE'", "0.0"
    ":math:`{\varepsilon }_{\text{max}}({n}_{1})` ", "'ANALYTIQUE'", "1.750000E-04"
    ":math:`{\epsilon }_{m}({n}_{1})` ", "'ANALYTIQUE'", "0.0"
    ":math:`{\sigma }_{\text{eq}}({n}_{1})` ", "'ANALYTIQUE'", "3.000000E+02"
    ":math:`{\text{Nb}}_{\text{cr}}({n}_{1})` ", "'ANALYTIQUE'", "1.094600E+04"
    ":math:`\text{ENDO}({n}_{1})` ", "'ANALYTIQUE'", "9.135647E-05"
    ":math:`\Delta \tau ({n}_{2})` ", "'ANALYTIQUE'", "1 *.* 500000E *+* 02"
    "component :math:`x` of :math:`{n}_{2}` ", "'ANALYTIQUE'", "7.071068E-01", "''", "7.071068E-01"
    "component :math:`y` of :math:`{n}_{2}` ", "'ANALYTIQUE'", "7.071068E-01", "''", "7.071068E-01"
    "component :math:`z` of :math:`{n}_{2}` ", "'ANALYTIQUE'", "0.0"
    ":math:`{N}_{\text{max}}({n}_{2})` ", "'ANALYTIQUE'", "5.000000E+01"
    ":math:`{N}_{m}({n}_{2})` ", "'ANALYTIQUE'", "0.0"
    ":math:`{\varepsilon }_{\text{max}}({n}_{2})` ", "'ANALYTIQUE'", "1.750000E-04"
    ":math:`{\varepsilon }_{m}({n}_{2})` ", "'ANALYTIQUE'", "0.0"
    ":math:`{\sigma }_{\text{eq}}({n}_{2})` ", "'ANALYTIQUE'", "3.000000E+02"
    ":math:`{\text{Nb}}_{\text{cr}}({n}_{2})` ", "'ANALYTIQUE'", "1.094600E+04"
    ":math:`\text{ENDO}({n}_{2})` ", "'ANALYTIQUE'", "9.135647E-05"


For the criteria 'DANG_VAN_MODI_AC' and the associated formula criterion (SSLV135A) with the option COURBE_GRD_VIE = 'WOHLER' and for the option COURBE_GRD_VIE = 'FORM_VIE' and FORMULE_VIE = 'WHOL':


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**"
    ":math:`\Delta \tau ({n}_{1})` ", "'ANALYTIQUE'", "1 *.* 500000E *+* 02"
    "component :math:`x` of :math:`{n}_{1}` ", "'ANALYTIQUE'", "7.071068E-01", "''", "7.071068E-01"
    "component :math:`y` of :math:`{n}_{1}` ", "'ANALYTIQUE'", "7.071068E-01", "''", "7.071068E-01"
    "component :math:`z` of :math:`{n}_{1}` ", "'ANALYTIQUE'", "0.0"
    ":math:`{N}_{\text{max}}({n}_{1})` ", "'ANALYTIQUE'", "5.000000E+01"
    ":math:`{N}_{m}({n}_{1})` ", "'ANALYTIQUE'", "0.0"
    ":math:`{\epsilon }_{\text{max}}({n}_{1})` ", "'ANALYTIQUE'", "1.750000E-04"
    ":math:`{\epsilon }_{m}({n}_{1})` ", "'ANALYTIQUE'", "0.0"
    ":math:`{\sigma }_{\text{eq}}({n}_{1})` ", "'ANALYTIQUE'", "2.750000E+02"
    ":math:`{\text{Nb}}_{\text{cr}}({n}_{1})` ", "'ANALYTIQUE'", "1.490300E+04"
    ":math:`\text{ENDO}({n}_{1})` ", "'ANALYTIQUE'", "6.709959E-05"
    ":math:`\Delta \tau ({n}_{2})` ", "'ANALYTIQUE'", "1 *.* 500000E *+* 02"
    "component :math:`x` of :math:`{n}_{2}` ", "'ANALYTIQUE'", "—7.071068E-01", "''", "—7.071068E-01"
    "component :math:`y` of :math:`{n}_{2}` ", "'ANALYTIQUE'", "7.071068E-01", "''", "7.071068E-01"
    "component :math:`z` of :math:`{n}_{2}` ", "'ANALYTIQUE'", "0.0"
    ":math:`{N}_{\text{max}}({n}_{2})` ", "'ANALYTIQUE'", "5.000000E+01"
    ":math:`{N}_{m}({n}_{2})` ", "'ANALYTIQUE'", "0.0"
    ":math:`{\varepsilon }_{\text{max}}({n}_{2})` ", "'ANALYTIQUE'", "1.750000E-04"
    ":math:`{\varepsilon }_{m}({n}_{2})` ", "'ANALYTIQUE'", "0.0"
    ":math:`{\sigma }_{\text{eq}}({n}_{2})` ", "'ANALYTIQUE'", "2.750000E+02"
    ":math:`{\text{Nb}}_{\text{cr}}({n}_{2})` ", "'ANALYTIQUE'", "1.490300E+04"
    ":math:`\text{ENDO}({n}_{2})` ", "'ANALYTIQUE'", "6.709959E-05"