W modeling
==============


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

QUAD8 - Axisymmetric


.. image:: images/1000020000000176000001AB65655726BCBC4D18.png
    :width: 1.7244in
    :height: 1.9689in


.. _RefImage_1000020000000176000001AB65655726BCBC4D18.png:


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

Number of knots: 8

Number of meshes and types: 1 QUAD8, 4 SEG3


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


.. csv-table::

    "**Identification**", "**Reference type**", "**Reference value**", "**Tolerance**"
    ":math:`{\varepsilon }_{\mathrm{rr}}={\varepsilon }_{\theta \theta }(t=\mathrm{66,666}s)` ", "'ANALYTIQUE'", "8.6666 10-4"," 0.05%"
    ":math:`{\varepsilon }_{\mathrm{rr}}={\varepsilon }_{\theta \theta }(t=\mathrm{80s})` ", "'ANALYTIQUE'", "1.1 10-3"," 0.1%"
    ":math:`{\varepsilon }_{\mathrm{rr}}={\varepsilon }_{\theta \theta }(t=\mathrm{90s})` ", "'ANALYTIQUE'", "1.275 10-3"," 0.1%"
    ":math:`p(t=\mathrm{66,666}s)` ", "'ANALYTIQUE'", "0"," 0.2%"
    ":math:`p(t=\mathrm{80s})` ", "'ANALYTIQUE'", "3 10-4"," 310-4%"
    ":math:`p(t=\mathrm{90s})` ", "'ANALYTIQUE'", "5.25 10-4", "1 10-4%"
    ":math:`{\sigma }_{\mathrm{zz}}(t=\mathrm{66,666}s)` ", "'ANALYTIQUE'", "-133.333 :math:`\mathrm{MPa}` "," 0.2%"
    ":math:`{\sigma }_{\mathrm{zz}}(t=\mathrm{80s})` ", "'ANALYTIQUE'", "-100 :math:`\mathrm{MPa}` "," 0.25%"
    ":math:`{\sigma }_{\mathrm{zz}}(t=\mathrm{90s})` ", "'ANALYTIQUE'", "-75 :math:`\mathrm{MPa}` "," 0.3%"



note
--------

The same results are obtained with the formulation AXIS_INCO_UP as with the conventional formulation AXIS.