Reference problem
=====================


Geometry
---------


.. image:: images/10000000000004AE000001D5A1678C68AAEDF9E7.png
    :width: 6.889in
    :height: 2.6028in


.. _RefImage_10000000000004AE000001D5A1678C68AAEDF9E7.png:

The coordinates of the points are given in meters (:math:`m`):


.. csv-table::

    ":math:`A1(0.0\mathrm{,0})` "," :math:`A3(10\mathrm{,5})`"
    ":math:`A2(10.0\mathrm{,0})` "," :math:`A4(0,5)`"


**Table** 1.1-1

The thickness of the plate is :math:`e\mathrm{=}\mathrm{0,8}m`


Material properties
----------------------

The material has an isotropic elastic behavior:



 Young's module: :math:`E\mathrm{=}200000\mathit{MPa}`



 Poisson's ratio: :math:`\nu \mathrm{=}0`


Boundary conditions and loads
-------------------------------------

Edge :math:`\mathit{A1A4}` is embedded.

A :math:`\mathit{Fz}\mathrm{=}–1000N` nodal force is applied to the :math:`\mathit{A2A3}` edge.


Modellations
-------------

The different models are:


.. csv-table::

    "Modeling", "Element Type", "Meshes", "Number of mesh elements"
    "A", "DST "," QUAD4 ", "50"
    "B", "DST (multi-layered, :math:`\mathit{ncou}\mathrm{=}2`)", "QUAD4 ", "50"
    "C", "Q4G", "QUAD4 ", "800"
    "D", "Q4G (multi-layer, :math:`\mathit{ncou}\mathrm{=}2`)", "QUAD4 ", "800"
    "E", "DST "," TRIA3 (regular mesh)", "1600"
    "F", "DST "," TRIA3 (irregular mesh)", "1600"


**Table** 1.4-1