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


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

AXIS_FOURIER, T6 mesh


.. image:: images/Shape1.gif


.. _RefSchema_Shape1.gif:


.. image:: images/1000000000000B6D000008089DBF9EA56AEBB145.png
    :width: 4.8752in
    :height: 3.4264in


.. _RefImage_1000000000000B6D000008089DBF9EA56AEBB145.png:


+--------------------+-------------------------------------------------------------------+-----------------------------------++
|Die-cutting:                                                                            |80 elements depending on the length |
+--------------------+-------------------------------------------------------------------+-----------------------------------++
|                                                                                        |2 elements according to the radius  |
+--------------------+-------------------------------------------------------------------+-----------------------------------++
|                                                                                        |                                    |
+--------------------+-------------------------------------------------------------------+-----------------------------------++
|Loads:                                                                                  |                                    |
+--------------------+-------------------------------------------------------------------+-----------------------------------++
|                                                                                        |                                    |
+--------------------+-------------------------------------------------------------------+-----------------------------------++
|:math:`\mathrm{C1}`:|vertical gravity (field :math:`\mathrm{Ug}`) (:math:`g\sqrt{2}`)                                       ||
+--------------------+-------------------------------------------------------------------+-----------------------------------++
|:math:`\mathrm{C2}`:|pressure (field :math:`\mathrm{Up}`) :math:`{p}_{o}=10000N/{m}^{2}`                                    ||
+--------------------+-------------------------------------------------------------------+-----------------------------------++

Displacement components: :math:`{u}_{r}` (radial), :math:`{u}_{z}` (axial), (axial), :math:`{u}_{\theta }` (circumferential)

Node names:


.. csv-table::

    ":math:`A=\mathrm{N1}` "," :math:`B=\mathrm{N2}` "," :math:`C=\mathrm{N3}` "," "," :math:`D=\mathrm{N4}` "," :math:`E=\mathrm{N249}` "," :math:`F=\mathrm{N87}`"



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

Number of knots: 805

Number of meshes and types: 320 TRIA6


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

Values provided for :math:`\theta =0`.


.. csv-table::

    "**Location**", "**Value type**", "**Reference**", "**Aster**", "**% difference**"
    "Field :math:`\mathrm{Ug}`
    (for :math:`\theta =0`)", "", "", "", ""
    "Point :math:`E`, :math:`F` "," :math:`{u}_{r}(m)`
    :math:`{u}_{\theta }(m)` ", "3.566 x 10—7
    0. ", "3.541 x 10—7
    3.94 10—14", "—0.701"
    "Point :math:`B` "," :math:`{\sigma }_{\mathrm{zz}}(\mathrm{Pa})` ", "—2.496 x 105", "—2.598 x 105", "+ 4.09"
    "Field :math:`\mathrm{Up}`
    (for :math:`\theta =0`)", "", "", "", ""
    "Point :math:`E` "," :math:`{u}_{r}(m)` ", "—7.82 x 10—6", "—7.71 x 10—6", "—1.4"
    "Point :math:`F` ", "", "—7.82 x 10—6", "—7.70 x 10—6", "—1.5"
    "Point :math:`B` "," :math:`{\sigma }_{\mathrm{rr}}(\mathrm{Pa})`
    :math:`{\sigma }_{\mathrm{zz}}(\mathrm{Pa})`
    :math:`{\sigma }_{\theta \theta }(\mathrm{Pa})` ", "1.63 x 106
    5.51 x 106
    1.65 x 106", "1.41 x 106
    5.65 x 106
    1.89 x 106", "—13.4
    2.7
    14.7"
    "Field :math:`\mathrm{Up}+\mathrm{Ug}`
    (for :math:`\theta =0`)", "", "", "", ""
    "Point :math:`E` "," :math:`{u}_{r}(m)` ", "—7.46 x 10—6", "—7.358 x 10—6", "—1.3"
    "Point :math:`F` "," :math:`{u}_{r}(m)` ", "—7.44 x 10—6", "—7.348 x 10—6", "—1.2"
    "Point :math:`B` "," :math:`{\sigma }_{\mathrm{rr}}(\mathrm{Pa})`
    :math:`{\sigma }_{\mathrm{zz}}(\mathrm{Pa})`
    :math:`{\sigma }_{\theta \theta }(\mathrm{Pa})` ", "1.56 x 106
    5.25 x 106
    1.57 x 106", "1.34 x 106
    5.398 x 106
    1.80 x 106", "—13.7
    2.8
    15.0"



notes
---------


1. The reference values for the pressure (Up field) are obtained in the C modeling, from a 3D mesh.


Contents of the results file
----------------------------

Travel, constraints.