Modeling A
==============

The specimen is meshed with two TRIA3 elements at three nodes for all models.


* 2 grid elements to model the fibers in the :math:`\mathrm{OX}` direction


* 2 grid elements to model the fibers in the :math:`\mathrm{OY}` direction

The nodes of the elements are common for each of the reinforcing plies.


.. image:: images/100004C6000069D500004D1AFEA1C75A82055C99.svg
    :width: 345
    :height: 252


.. _RefImage_100004C6000069D500004D1AFEA1C75A82055C99.svg:


Modeling A results (linear isotropic work hardening)
--------------------------------------------------------


Thermal loading for modeling A
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Reference temperature: 50

Loading history: :math:`{\mathrm{Evolution}}_{A}` (see [:ref:`§1.4 <§1.4>`])

The temperatures came in like a knotty field.


Results
~~~~~~~~

Values of :math:`\mathit{SIXX}` at the node :math:`\mathrm{NO1}` (in the direction of the longitudinal reinforcements) and :math:`\mathit{SIXX}` at the node :math:`\mathrm{NO1}` (in the direction of the transverse reinforcements) and those of the Maximum and Minimum of the internal variables :math:`\mathrm{V1}` and :math:`\mathrm{V3}` are recorded.


+-------+-----------------------------------------------------------------------------------------+------------+-----+-----------------------------------------------------------------------------------------+------------+-----+
|       |:math:`\mathit{SIXX}` in meshes modeling fibers oriented according to :math:`\mathrm{OX}`                   |:math:`\mathit{SIXX}` in meshes modeling fibers oriented according to :math:`\mathrm{OY}`                   |
+-------+-----------------------------------------------------------------------------------------+------------+-----+-----------------------------------------------------------------------------------------+------------+-----+
|Instant|Reference                                                                                |*Aster_code*|Ecart|Reference                                                                                |*Aster_code*|Ecart|
+-------+-----------------------------------------------------------------------------------------+------------+-----+-----------------------------------------------------------------------------------------+------------+-----+
|1      |2,0000E+08                                                                               |2,0000E+08  |0    |2,0000E+08                                                                               |2,0000E+08  |0    |
+-------+-----------------------------------------------------------------------------------------+------------+-----+-----------------------------------------------------------------------------------------+------------+-----+
|2      |2,4000E+08                                                                               |2,4000E+08  |0    |2,4000E+08                                                                               |2,4000E+08  |0    |
+-------+-----------------------------------------------------------------------------------------+------------+-----+-----------------------------------------------------------------------------------------+------------+-----+
|3      |4,0000E+07                                                                               |4,0000E+07  |0    |4,0000E+07                                                                               |4,0000E+07  |0    |
+-------+-----------------------------------------------------------------------------------------+------------+-----+-----------------------------------------------------------------------------------------+------------+-----+
|4      |2,4000E+08                                                                               |2,4000E+08  |0    |2,4000E+08                                                                               |2,4000E+08  |0    |
+-------+-----------------------------------------------------------------------------------------+------------+-----+-----------------------------------------------------------------------------------------+------------+-----+
|5      |—1,6000E+08                                                                              |—1,6000E+08 |0    |—1,6000E+08                                                                              |—1,6000E+08 |0    |
+-------+-----------------------------------------------------------------------------------------+------------+-----+-----------------------------------------------------------------------------------------+------------+-----+
|6      |— 3,1200E+08                                                                             |— 3,1200E+08|0    |— 3,1200E+08                                                                             |— 3,1200E+08|0    |
+-------+-----------------------------------------------------------------------------------------+------------+-----+-----------------------------------------------------------------------------------------+------------+-----+
|7      |2,8800E+08                                                                               |2,8800E+08  |0    |2,8800E+08                                                                               |2,8800E+08  |0    |
+-------+-----------------------------------------------------------------------------------------+------------+-----+-----------------------------------------------------------------------------------------+------------+-----+
|8      |4.0960E+08                                                                               |4.0960E+08  |0    |4.0960E+08                                                                               |4.0960E+08  |0    |
+-------+-----------------------------------------------------------------------------------------+------------+-----+-----------------------------------------------------------------------------------------+------------+-----+
|9      |—2.7040E+08                                                                              |—2.7040E+08 |0    |—2.7040E+08                                                                              |—2.7040E+08 |0    |
+-------+-----------------------------------------------------------------------------------------+------------+-----+-----------------------------------------------------------------------------------------+------------+-----+
|10     |— 5,2768E+08                                                                             |— 5,2768E+08|0    |— 5,2768E+08                                                                             |— 5,2768E+08|0    |
+-------+-----------------------------------------------------------------------------------------+------------+-----+-----------------------------------------------------------------------------------------+------------+-----+
|11     |4.7232E+08                                                                               |4.7232E+08  |0    |4.7232E+08                                                                               |4.7232E+08  |0    |
+-------+-----------------------------------------------------------------------------------------+------------+-----+-----------------------------------------------------------------------------------------+------------+-----+


+-------+------------------+------------+-----------+------------+-----------+
|Instant|Internal variables|min                     |Maximum                 |
+       +                  +------------+-----------+------------+-----------+
|       |                  |*Aster_code*|Reference  |*Aster_code*|Reference  |
+-------+------------------+------------+-----------+------------+-----------+
|1      |V1                |0           |0          |0           |0          |
+       +------------------+------------+-----------+------------+-----------+
|       |V3                |0           |0          |0           |0          |
+-------+------------------+------------+-----------+------------+-----------+
|2      |V1                |1.8E-03     |1.8E-03    |1.8E-03     |1.8E-03    |
+       +------------------+------------+-----------+------------+-----------+
|       |V3                |1.8E-03     |1.8E-03    |1.8E-03     |1.8E-03    |
+-------+------------------+------------+-----------+------------+-----------+
|3      |V1                |1.8E-03     |1.8E-03    |1.8E-03     |1.8E-03    |
+       +------------------+------------+-----------+------------+-----------+
|       |V3                |1.8E-03     |1.8E-03    |1.8E-03     |1.8E-03    |
+-------+------------------+------------+-----------+------------+-----------+
|4      |V1                |1.8E-03     |1.8E-03    |1.8E-03     |1.8E-03    |
+       +------------------+------------+-----------+------------+-----------+
|       |V3                |1.8E-03     |1.8E-03    |1.8E-03     |1.8E-03    |
+-------+------------------+------------+-----------+------------+-----------+
|5      |V1                |1.8E-03     |1.8E-03    |1.8E-03     |1.8E-03    |
+       +------------------+------------+-----------+------------+-----------+
|       |V3                |1.8E-03     |1.8E-03    |1.8E-03     |1.8E-03    |
+-------+------------------+------------+-----------+------------+-----------+
|6      |V1                |5.04E-03    |5.04E-03   |5.04E-03    |5.04E-03   |
+       +------------------+------------+-----------+------------+-----------+
|       |V3                |5.04E-03    |5.04E-03   |5.04E-03    |5.04E-03   |
+-------+------------------+------------+-----------+------------+-----------+
|7      |V1                |5.04E-03    |5.04E-03   |5.04E-03    |5.04E-03   |
+       +------------------+------------+-----------+------------+-----------+
|       |V3                |5.04E-03    |5.04E-03   |5.04E-03    |5.04E-03   |
+-------+------------------+------------+-----------+------------+-----------+
|8      |V1                |9.432E-03   |9.432E-03  |9.432E-03   |9.432E-03  |
+       +------------------+------------+-----------+------------+-----------+
|       |V3                |9.432E-03   |9.432E-03  |9.432E-03   |9.432E-03  |
+-------+------------------+------------+-----------+------------+-----------+
|9      |V1                |9.432E-03   |9.432E-03  |9.432E-03   |9.432E-03  |
+       +------------------+------------+-----------+------------+-----------+
|       |V3                |9.432E-03   |9.432E-03  |9.432E-03   |9.432E-03  |
+-------+------------------+------------+-----------+------------+-----------+
|10     |V1                |1.47456E-02 |1.47456E-02|1.47456E-02 |1.47456E-02|
+       +------------------+------------+-----------+------------+-----------+
|       |V3                |1.47456E-02 |1.47456E-02|1.47456E-02 |1.47456E-02|
+-------+------------------+------------+-----------+------------+-----------+
|11     |V1                |1.47456E-02 |1.47456E-02|1.47456E-02 |1.47456E-02|
+       +------------------+------------+-----------+------------+-----------+
|       |V3                |1.47456E-02 |1.47456E-02|1.47456E-02 |1.47456E-02|
+-------+------------------+------------+-----------+------------+-----------+

**Notes:**

*The results shown are given in the reference frame* :math:`({X}_{\mathrm{ref}},{Y}_{\mathrm{ref}})` *making an angle of* :math:`0°` *with respect to* :math:`(X,Y)` *.*

*The test case studied corresponds to the following diagram in a stress-deformation plane:*


.. image:: images/Object_17.svg
    :width: 345
    :height: 252


.. _RefImage_Object_17.svg: