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


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


.. image:: images/1000069000001E6300001F36A19553F1CB3BD3AA.svg
    :width: 392
    :height: 402


.. _RefImage_1000069000001E6300001F36A19553F1CB3BD3AA.svg:


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

Number of knots:

Number of meshes and types: 20 QUAD8.


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


.. csv-table::

    "**Identification**", "**Reference**", "**Aster**", "**% difference**", "**tolerance**"
    ":math:`A` :math:`{\sigma }_{\mathrm{rr}}` ", "—1.00003", "—1.00351", "0.35", "0.5"
    ":math:`{\sigma }_{\theta \theta }` ", "—4.43821", "—4.43970", "0.034", "0.05"
    ":math:`{\sigma }_{\mathrm{zz}}` ", "0.19518", "0.19369", "0.76", "0.8"
    ":math:`{e}_{\mathrm{rel}}` ", "", "0.57% ", "", "0.6"
    ":math:`E` mat. 1 :math:`{\sigma }_{\mathrm{rr}}` ", "—1.95508", "—1.95583", "0.039", "0.05"
    ":math:`{\sigma }_{\theta \theta }` ", "—3.48316", "—3.48347", "0.009", "0.01"
    ":math:`{\sigma }_{\mathrm{zz}}` ", "0.19518", "0.19486", "0.16", "0.2"
    ":math:`{e}_{\mathrm{rel}}` ", "", "0.14% ", "", "0.2"
    ":math:`E` mat. 2 :math:`{\sigma }_{\mathrm{rr}}` ", "—1.95508", "—1.96166", "0.34", "0.5"
    ":math:`{\sigma }_{\theta \theta }` ", "—2.16049", "—2.15403", "0.299", "0.5"
    ":math:`{\sigma }_{\mathrm{zz}}` ", "—0.32135", "—0.32138", "0.009", "0.01"
    ":math:`{e}_{\mathrm{rel}}` ", "", "0.027% ", "", "0.03"
    ":math:`B` :math:`{\sigma }_{\mathrm{rr}}` ", "—1.99999", "—2.00003", "0.002", "0.01"
    ":math:`{\sigma }_{\theta \theta }` ", "—2.11555", "—2.11558", "0.001", "0.01"
    ":math:`{\sigma }_{\mathrm{zz}}` ", "—0.32135", "—0.32135", "0.002", "0.01"
    ":math:`{e}_{\mathrm{rel}}` ", "", "0.0084% ", "", "0.01"



note
--------

Overall estimated relative error= 0.24%.