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


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

Using QUAD4 elements


.. image:: images/1000045E000069D500006EE67EA6F9AA990F402E.svg
    :width: 255
    :height: 267


.. _RefImage_1000045E000069D500006EE67EA6F9AA990F402E.svg:


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

Number of knots: 4

Number of meshes and types: 3 MECPQU4

Modeling in plane constraints: C_ PLAN

Loading and boundary conditions are modelled by:


* DDL_IMPO: (Node NO1 DX = 0, DY = 0)

(Node NO2 DY = 0)

(Knot NO4 DX = 0)


* forces imposed on nodes :math:`\mathrm{NO2}` and :math:`\mathrm{NO3}`.


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


.. csv-table::

    "**Identification**", "**Instant**", "**Reference**", "**Aster**", "**% difference**"
    "", "", "", "", ""
    ":math:`\mathit{SIXX}` (mesh 1)", "1", "1,500000E+00", "1,500000E+00", "0.000"
    ":math:`\mathit{SIYY}` (mesh 1)", "1", "6,938894E—18", "1,351398E—14", "0.000"
    ":math:`\mathit{SIXX}` (mesh 2)", "1", "9,000000E—01", "9,000000E—01", "0.000"
    ":math:`\mathit{SIYY}` (mesh 2)", "1", "—1.040834E—17", "—2.142673E—14", "0.000"
    ":math:`\mathit{SIXX}` (mesh 3)", "1", "6,000000E—01", "6,000000E—01", "0.000"
    ":math:`\mathit{SIYY}` (mesh 3)", "1", "—6,938894E—18", "—2,924612E—14", "0.000"
    "", "", "", "", ""
    ":math:`\mathit{SIXX}` (mesh 1)", "2", "3,000000E+00", "3,000000E+00", "0.000"
    ":math:`\mathit{SIYY}` (mesh 1)", "2", "4,861944E—13", "9,617834E—14", "0.000"
    ":math:`\mathit{SIXX}` (mesh 2)", "2", "1,800000E+00", "1,800000E+00", "0.000"
    ":math:`\mathit{SIYY}` (mesh 2)", "2", "—2.081668E—17", "—8.301280E—14", "0.000"
    ":math:`\mathit{SIXX}` (mesh 3)", "2", "1,200000E+00", "1,200000E+00", "0.000"
    ":math:`\mathit{SIYY}` (mesh 3)", "2", "—3,469447E—18", "—9,360717E—14", "0.000"
    "", "", "", "", ""
    ":math:`\mathit{SIXX}` (mesh 1)", "3", "3,147155E+00", "3,145788E+00", "—0.043"
    ":math:`\mathit{SIYY}` (mesh 1)", "3", "3,199571E—01", "3,167038E—01", "—1.017"
    ":math:`\mathit{SIXX}` (mesh 2)", "3", "3,511707E+00", "3,512527E+00", "0.023"
    ":math:`\mathit{SIYY}` (mesh 2)", "3", "—1.900098E—01", "—1.900225E—01", "0.007"
    ":math:`\mathit{SIXX}` (mesh 3)", "3", "2,341138E+00", "2,341685E+00", "0.023"
    ":math:`\mathit{SIYY}` (mesh 3)", "3", "—1,279828E—01", "—1,266817E—01", "—1.017"
    "", "", "", "", ""
    ":math:`\mathit{SIXX}` (mesh 1)", "4", "3,252919E+00", "3,250686E+00", "—0.069"
    ":math:`\mathit{SIYY}` (mesh 1)", "4", "5,950074E—01", "5,886265E—01", "—1.072"
    ":math:`\mathit{SIXX}` (mesh 2)", "4", "5,814267E+00", "5,816233E+00", "0.034"
    ":math:`\mathit{SIYY}` (mesh 2)", "4", "—3,523377E—01", "—3,520332E—01", "—0.086"
    ":math:`\mathit{SIXX}` (mesh 3)", "4", "3,878832E+00", "3,883081E+00", "0.110"
    ":math:`\mathit{SIYY}` (mesh 3)", "4", "—2,380030E—01", "—2,365921E—01", "—0.593"
    "", "", "", "", ""
    ":math:`\mathit{SIXX}` (mesh 1)", "5", "3,213822E+00", "3,214343E+00", "0.016"
    ":math:`\mathit{SIYY}` (mesh 1)", "5", "4.873069E—01", "4.886891E—01", "0.284"
    ":math:`\mathit{SIXX}` (mesh 2)", "5", "6,017834E+00", "6,015971E+00", "—0.031"
    ":math:`\mathit{SIYY}` (mesh 2)", "5", "3,174572E—02", "3,174572E—02", "3,207056E—02", "1.023"
    ":math:`\mathit{SIXX}` (mesh 3)", "5", "5,768340E+00", "5,769686E+00", "0.023"
    ":math:`\mathit{SIYY}` (mesh 3)", "5", "—5,231355E—01", "—5,207599E—01", "—0.454"
    "", "", "", "", ""
    ":math:`\mathit{SIXX}` (mesh 1)", "6", "3,209297E+00", "3,210140E+00", "0.026"
    ":math:`\mathit{SIYY}` (mesh 1)", "6", "4.753345E—01", "4.775720E—01", "0.471"
    ":math:`\mathit{SIXX}` (mesh 2)", "6", "6,149462E+00", "6,146788E+00", "—0.043"
    ":math:`\mathit{SIYY}` (mesh 2)", "6", "3.048490E—01", "3.048490E—01", "3.052260E—01", "0.124"
    ":math:`\mathit{SIXX}` (mesh 3)", "6", "7,571241E+00", "7,573072E+00", "0.024"
    ":math:`\mathit{SIYY}` (mesh 3)", "6", "—7,863557E—01", "—7,827984E—01", "—0.452"



notes
---------

Idem modeling A concerning the number of increments on the precision of the results.

The number of iterations is equal to 361.