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


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

It's axisymmetric modeling.


.. image:: images/100000000000039F000000FF1DF6A2E0FB4C8C95.png
    :width: 4.7929in
    :height: 1.4693in


.. _RefImage_100000000000039F000000FF1DF6A2E0FB4C8C95.png:

Boundary conditions:


.. csv-table::

    "in :math:`B` "," DDL_IMPO: (GROUP_NO: B", "DY: 0.)"
    "on :math:`\mathrm{AG}` "," DDL_IMPO: (GROUP_NO: LaG", "DX: 0.)"


Loading:


.. math::
: label: EQ-None

    \ textrm {en}
    A

Node name:

.. csv-table::

    ":math:`A=\mathrm{N1}` "," :math:`B=\mathrm{N755}` "," :math:`D=\mathrm{N858}` "," :math:`G=\mathrm{N201}`"



.. csv-table::

    "Breakdown:", "100 elements along the radius"
    "", "2 elements depending on the thickness"



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

Number of knots: 905

Number of meshes and types: 100 QUAD 8, 200 TRIA 6, 200 6, 208 SEG 3


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


.. csv-table::

    "**Location**", "**Value type**", "**Reference**", "**Aster**", "**% difference**"
    "Point :math:`A` "," :math:`{W}_{A}(m)` ", "—0.4596 10—3", "—0.4617 10—3", "0.46"
    "", ":math:`{e}_{p}(\mathrm{Nm}/\mathrm{rd})` ", "—1.2799 10—2", "—1.2859 10—2", "0.47"



notes
---------


* The value of the load to be supplied is reduced to a sector of 1 radian. Consequently, the value of the potential energy given on the result file corresponds to the deformation of this sector (to the nearest sign).


* Option ENERPOT actually calculates deformation energy:


.. image:: images/Object_6.svg
    :width: 105
    :height: 41


.. _RefImage_Object_6.svg:

which is the same as potential energy at the nearest sign:

:math:`{E}_{p}=\frac{1}{2}{U}^{T}KU-{U}^{T}F=-\frac{1}{2}{U}^{T}F=-\frac{1}{2}{U}^{T}KU` (because :math:`\mathrm{KU}=F`)