Modeling A
==============


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

Modeling in plane deformations on the following mesh :math:`\mathrm{2D}`:


.. image:: images/Shape2.gif


.. _RefSchema_Shape2.gif:


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

Number of knots: 25

Numbers and types of meshes: 16 SEG2, 16 QUAD4 with elements D_ PLAN_SI.


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


.. csv-table::

    "**Value tested**", "**Reference**", "**Type**", "**Variance**"
    "Displacement :math:`\mathrm{DX}` in :math:`C`", "-1,25", "Analytical", "1.7%"
    "Displacement :math:`\mathrm{DY}` in :math:`C`", "4.25", "Analytics", "0.3%"



notes
---------

The stress is called dominant flexure. Through this calculation, we show the difficulty for the QUAD4 even sub-integrated to represent the modes of deformation in flexure in plane deformation and for a coefficient :math:`\nu` close to 0.5. This results in an excessive stiffness of the element due to the shear terms of the discretized gradient operator: this is a numerical block.


.. image:: images/Shape3.gif


.. _RefSchema_Shape3.gif: