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


Geometry
---------

The concrete console is modelled by shell elements (DKT). The reinforcement layers (not eccentric) are modelled by models GRILLE_ENCENTRE for modeling A, MEMBRANE for modeling B and GRILLE_MEMBRANE for modeling C.


.. image:: images/1000020100000219000000FF53BC7E03349463E1.png
    :width: 3.8063in
    :height: 1.4862in


.. _RefImage_1000020100000219000000FF53BC7E03349463E1.png:

Figure 1-1: Definition of geometry


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

**Concrete console:** :math:`E=3.{10}^{10}\mathit{Pa}`, :math:`\nu =0`, :math:`\rho =2500\mathit{kg}/{m}^{3}`

 Thickness of the console: :math:`0.2m`; ANGL_REP = (0; 0)

**Steel frame sheets:** :math:`E=2.{10}^{11}\mathit{Pa}`, :math:`\nu =0`, :math:`\rho =7800\mathit{kg}/{m}^{3}`



 High reinforcement sheet: section per linear meter = :math:`0.2{m}^{2}/\mathrm{ml}`; ANGL_REP = (0; 0)

 Low reinforcement sheet: cross section per linear meter = :math:`0.2{m}^{2}/\mathrm{ml}`; ANGL_REP = (0; 0)


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

Boundary conditions and loads break down as follows:

 Recessed :math:`\mathrm{B0X}` and :math:`\mathrm{B1X}` edges

 Nodal force :math:`\mathit{FX}={10}^{7}N` at node :math:`\mathit{FLECHE}` (node in the center of the plate), applied with the following multiplier function :math:`f`:


.. csv-table::

    "Time (s)", ":math:`f`"
    "0", "0"
    "0.001", "1"
    "0.01", "1"