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


Geometry of the numerical model
-----------------------------


.. image:: images/1000000000000582000002F56A4071F725AC5130.png
    :width: 5.5118in
    :height: 2.9591in


.. _RefImage_1000000000000582000002F56A4071F725AC5130.png:

Figure 1.1: Model mesh.

Mesh and knot groups
------------------------------


* groups of knots and meshes :math:`\mathit{MC}`: the whole beam,


* groups of knots and stitches :math:`\mathit{BAS}`: bottom half (in blue),


* groups of knots and stitches :math:`\mathit{HAUT}`: top half (in red),


* node group :math:`\mathit{EXTREMIT}`: base of the beam.


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


*
    *
        * For all items


* :math:`E\mathrm{=}2.2\mathrm{\times }{10}^{11}\mathit{Pa}` Young's module


* :math:`\nu \mathrm{=}0.3` Poisson's ratio


* :math:`\rho \mathrm{=}8333.0{\mathit{kg.m}}^{\mathrm{-}3}` Density


*
    *


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


* Imposed travel:


*
    *
        *
            * group :math:`\mathit{EXTREMIT}`: :math:`\mathit{DRX}\mathrm{=}\mathit{DRY}\mathrm{=}\mathit{DRZ}\mathrm{=}\mathit{DX}\mathrm{=}\mathit{DY}\mathrm{=}\mathit{DZ}\mathrm{=}0.0`


            * group :math:`\mathit{MC}`: :math:`\mathit{DZ}\mathrm{=}0.0`


Geometric characteristics of structural elements
--------------------------------------------------------


* Group :math:`\mathit{MC}`: tube-type section ('CERCLE'):


    * radius: :math:`R\mathrm{=}7.94\mathit{mm}`,


    * thickness: :math:`e\mathrm{=}3.176\mathit{mm}`