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


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


.. image:: images/100016B8000069BB00002957D4EF383703BEE0E2.svg
    :width: 496
    :height: 193


.. _RefImage_100016B8000069BB00002957D4EF383703BEE0E2.svg:


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

Number of knots: 169

Number of meshes and type: 36 QUAD9


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


.. csv-table::

    "**Identification**", "**Instants**", "**Reference**", "**Aster**", "**% difference**"
    "Limit point no. 1", "", "", ""
    "DZ", "1.03", "—0.0140", "—0.0140", "—0.01318", "—5.886"
    "Eta_ PILOTAGE ", "1.03", "1.0", "0.9724", "—2.760"
    "Endpoint No. 2", "", "", "", ""
    "DZ", "", "—0.0171", "—0.01702", "—0.462"
    "Eta_ PILOTAGE ", "", "0.375
    0.250", "0.101", "—67.69"
    "Endpoint No. 3", "", "", "", ""
    "DZ", "", "—0.0140", "—0.0140", "—0.01446", "3.269"
    "Eta_ PILOTAGE ", "", "—0.400
    —0.492", "—0.558", "25.177"
    "Endpoint No. 4", "", "", "", ""
    "DZ", "", "—0.0161", "—0.0161", "—0.007"
    "Eta_ PILOTAGE ", "", "—0.633", "—0.640", "1.120"



notes
----------

The calculation strategy used is divided into two steps:


* calculation under imposed load up to :math:`P=\mathrm{582.N}` corresponding to 97% of the critical load,


* imposed displacement calculation: then, an imposed displacement is imposed using the imposed arc-length technique (option LONG_ARC in STAT_NON_LINE).

Using the arc-length technique makes it difficult to define the reference value to be entered in the TEST_RESU command, since these values cannot be imposed. To define the reference values, we looked for the values of :math:`\mathrm{DZ}` that were as close as possible to those listed in the table in [:ref:`§2.2 <§2.2>`] and we reported the values of the control parameter that we had to obtain for the values of :math:`\mathrm{DZ}` in question.