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


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

Modeling :math:`\mathrm{2D}` plane deformations


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    :width: 253
    :height: 200


.. _RefImage_10000466000016A2000012169CC55A6920C17D87.svg:

**Boundary conditions:**


.. image:: images/1000087800002BB800000C81EEA24516BE753138.svg
    :width: 253
    :height: 200


.. _RefImage_1000087800002BB800000C81EEA24516BE753138.svg:

**Charging:**

Traction on the face :math:`[\mathrm{2,4}]`

mesh :math:`[\mathrm{2,4}]`: :math:`\mathrm{FY}=\mathrm{31 096}.154f(t)\mathrm{MPa}`


.. image:: images/100006C80000129B00000CD1974FE755C794CAE4.svg
    :width: 253
    :height: 200


.. _RefImage_100006C80000129B00000CD1974FE755C794CAE4.svg:


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


.. csv-table::

    "Number of knots: 4", "Number of stitches: 2"
    "", "1 QUAD4
    1 SEG2"



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


.. csv-table::

    "**Identification**", "**Reference**", "**Aster**", "**% difference**"
    "t = 2 DX displacement (NO2)", "100", "100", "0"
    "t = 2 DY Displacement (NO4)", "1100", "1100", "0"
    "t = 2 Constraints SIGXX (PG1)", "11013.986", "11013.986", "0"
    "t = 2 Constraints SIGYY (PG1)", "31096.154", "31096.154", "0"
    "t = 2 Constraints SIGZZ (PG1)", "11013.986", "11013.986", "0"
    "t = 2 Constraints SIGXY (PG1)", "0", "10-10", "/"
    "", "", "", ""
    "t = 3 DX displacement (NO2)", "0", "10—12", "/"
    "t = 3 DY Displacement (NO4)", "0", "10—12", "/"
    "t = 3 Constraints SIGXX (PG1)", "0", "10—10", "/"
    "t = 3 Constraints SIGYY (PG1)", "0", "10—10", "/"
    "t = 3 Constraints SIGZZ (PG1)", "0", "10—10", "/"
    "t = 3 Constraints SIGXY (PG1)", "0", "10—10", "/"
    "", "", "", ""
    "t = 2 Nodal Force DX (NO4)", "6.0577 106", "6.0577 106", "0"
    "t = 2 Nodal Force DY (NO4)", "15.5481 106", "15.5481 106", "0"



notes
---------

**Nodal force calculation:**

The force applied :math:`F` on a face described by a linear mesh is distributed by:


.. image:: images/100008FC000069D500000F9BD6D7E9BC46BB4534.svg
    :width: 253
    :height: 200


.. _refImage_100008 FC000069D500000F9BD6D7E9BC46BB4534 .svg: