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


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

AXIS, T6 and Q8 meshes


.. image:: images/1000000000000A54000007A3575D2F99A1C856FE.png
    :width: 4.1862in
    :height: 3.0953in


.. _RefImage_1000000000000A54000007A3575D2F99A1C856FE.png:

Position of the points:


* :math:`E,F` halfway up


* :math:`G,H,I` at :math:`{R}_{o}` distance from the axis


.. csv-table::

    "Breakdown:", "100 elements according to height"
    "", "1 element in the thickness"


The charge is broken down as follows:


* load :math:`\mathrm{q1}` varying linearly from 0 in :math:`D` to :math:`10000N/m` in :math:`C`: displacement field

    .. image:: images/Object_8.svg
        :width: 24
        :height: 18


    .. _RefImage_Object_8.svg:


* load :math:`\mathrm{q2}` varying linearly from :math:`10000N/m` in :math:`D` to 0 in :math:`C`: displacement field

    .. image:: images/Object_9.svg
        :width: 24
        :height: 18


    .. _RefImage_Object_9.svg:

The results are given separately for each field.

.. image:: images/Object_10.svg
    :width: 24
    :height: 18


.. _RefImage_Object_10.svg:

and

.. image:: images/Object_11.svg
    :width: 24
    :height: 18


.. _RefImage_Object_11.svg:

.

Node name:


.. csv-table::

    "Point :math:`A=\mathrm{N1}` ", "Point :math:`C=\mathrm{N452}` ", "Point :math:`E=\mathrm{N201}` ", "Point ", "Point :math:`G=\mathrm{N51}` ", "Point :math:`I=\mathrm{N503}`"
    "Point :math:`B=\mathrm{N101}` ", "Point :math:`D=\mathrm{N504}` ", "Point :math:`F=\mathrm{N203}` ", "Point :math:`H=\mathrm{N202}` ", ""



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

Number of knots: 557

Number of meshes and types: 50 QUAD8, 100 TRIA6, 204 SEG3


Tested values
---------------


+----------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------+------------------+-----------------------------------------------------------------+
|**Fields**                                                                        |**Location**                                                                                                          |**Value type**    |**Reference**                                                    |
+----------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------+------------------+-----------------------------------------------------------------+
|                                                                                  |Point                                                                                                                 |:math:`{u}_{r}(m)`|—3,583. 10—7                                                     |
+ .. image:: images/Object_12.svg                                                  + :math:`G(\mathrm{N51})`                                                                                              +                  +                                                                 +
|    :width: 24                                                                    |                                                                                                                      |                  | —3,583. 10—7 —1,012. 10—6                                       |
+    :height: 18                                                                   + Point :math:`H(\mathrm{N202})` Point Point :math:`I(\mathrm{N503})`                                                  +                  +                                                                 +
|                                                                                  |                                                                                                                      |                  |                                                                 |
+                                                                                  +                                                                                                                      +                  +                                                                 +
|                                                                                  |                                                                                                                      |                  |                                                                 |
+----------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------+------------------+-----------------------------------------------------------------+
|                                                                                  |Point                                                                                                                 |:math:`{u}_{x}(m)`|4.896. 10—6                                                      |
+                                                                                  + :math:`C(\mathrm{N452})`                                                                                             +                  +                                                                 +
|                                                                                  |                                                                                                                      |                  | 4.658. 10—6 4.777. 10—6                                         |
+                                                                                  + Point :math:`D(\mathrm{N504})` Point Point :math:`I(\mathrm{N503})`                                                  +                  +                                                                 +
|                                                                                  |                                                                                                                      |                  |                                                                 |
+----------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------+------------------+-----------------------------------------------------------------+
|                                                                                  |Point                                                                                                                 |:math:`{u}_{r}(m)`|—3,559. 10—7                                                     |
+ .. image:: images/Object_13.svg                                                  + :math:`G`                                                                                                            +                  +                                                                 +
|    :width: 24                                                                    |                                                                                                                      |                  | —3,559. 10—7 2,973. 10—7 —3,559. 10—7                           |
+    :height: 18                                                                   + Point :math:`H` Point Point :math:`I`                                                                                +                  +                                                                 +
|                                                                                  |                                                                                                                      |                  |                                                                 |
+                                                                                  +                                                                                                                      +                  +                                                                 +
|                                                                                  |                                                                                                                      |                  |                                                                 |
+----------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------+------------------+-----------------------------------------------------------------+
|                                                                                  |Point                                                                                                                 |                  |4.627. 10—6                                                      |
+                                                                                  + :math:`C(\mathrm{N452})`                                                                                             +                  +                                                                 +
|                                                                                  |                                                                                                                      |                  | 4.865. 10—6 4.746. 10—6 4.865. 10—6                             |
+                                                                                  + Point :math:`D(\mathrm{N504})` Point Point :math:`I(\mathrm{N503})`                                                  +                  +                                                                 +
|                                                                                  |                                                                                                                      |                  |                                                                 |
+----------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------+------------------+-----------------------------------------------------------------+