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


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

Modeling AXIS.

Model DRUCK_PRAGER with parabolic negative work hardening.


.. image:: images/Shape6.gif


.. _RefSchema_Shape6.gif:


.. csv-table::

    "Number of nodes", ":math:`4` ", "", "", ""
    "Number of meshes", ":math:`5` ", "That is:", "", ""
    "", "", "SEG2 "," :math:`4`"
    "", "", "QUAD4 "," :math:`1`"


The square is in space :math:`[0.\mathrm{,1}\mathrm{.}]\text{x}[0.\mathrm{,1}\mathrm{.}]`.

Coordinates of points :math:`(m)`:

 :math:`A:(0.,0.)`

 :math:`B:(1.,0.)`

 :math:`C:(1.,1.)`

 :math:`D:(0.,1.)`

Knitwear:

 :math:`\mathrm{M1}`: surface :math:`\mathrm{ABDC}`

 :math:`\mathrm{M2}`: segment :math:`\mathrm{AB}`

 :math:`\mathrm{M3}`: segment :math:`\mathrm{BC}`

 :math:`\mathrm{M4}`: segment :math:`\mathrm{CD}`

 :math:`\mathrm{M5}`: segment :math:`\mathrm{DA}`



Node groups:

:math:`A,B`




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


+----------------------------------+-----+---------------------+------------------------+-----------------------------+
|Grandeur                          |Point|:math:`\mathrm{Inst}`|Reference               |Tolerance (:math:`\text{\%}`)|
+----------------------------------+-----+---------------------+------------------------+-----------------------------+
|:math:`\mathrm{SIXX}(\mathrm{Pa})`|C    |:math:`2.0`          |:math:`-2.0\mathrm{E6}` |0.1                          |
+----------------------------------+-----+---------------------+------------------------+-----------------------------+
|:math:`\mathrm{SIYY}(\mathrm{Pa})`|C    |:math:`1.07`         |:math:`-8.09\mathrm{E6}`|0.1                          |
+                                  +     +---------------------+------------------------+-----------------------------+
|                                  |     |:math:`1.16`         |:math:`-8.01\mathrm{E6}`|0.1                          |
+                                  +     +---------------------+------------------------+-----------------------------+
|                                  |     |:math:`1.34`         |:math:`-6.63\mathrm{E6}`|0.1                          |
+                                  +     +---------------------+------------------------+-----------------------------+
|                                  |     |:math:`1.53`         |:math:`-5.81\mathrm{E6}`|0.1                          |
+----------------------------------+-----+---------------------+------------------------+-----------------------------+
|:math:`\mathrm{V1}`               |C    |:math:`1.07`         |:math:`0`               |0.1                          |
+                                  +     +---------------------+------------------------+-----------------------------+
|                                  |     |:math:`1.16`         |:math:`2.04E-3`         |0.1                          |
+                                  +     +---------------------+------------------------+-----------------------------+
|                                  |     |:math:`1.34`         |:math:`6.42E-3`         |0.1                          |
+                                  +     +---------------------+------------------------+-----------------------------+
|                                  |     |:math:`1.53`         |:math:`1.09E-2`         |0.1                          |
+----------------------------------+-----+---------------------+------------------------+-----------------------------+
|:math:`\mathrm{DY}(m)`            |C    |:math:`1.07`         |:math:`-1.05E-3`        |0.1                          |
+                                  +     +---------------------+------------------------+-----------------------------+
|                                  |     |:math:`1.16`         |:math:`-2.40E-3`        |0.1                          |
+                                  +     +---------------------+------------------------+-----------------------------+
|                                  |     |:math:`1.34`         |:math:`-5.10E-3`        |0.1                          |
+                                  +     +---------------------+------------------------+-----------------------------+
|                                  |     |:math:`1.53`         |:math:`-7.95E-3`        |0.1                          |
+----------------------------------+-----+---------------------+------------------------+-----------------------------+