Description
===========


Geometry, mesh, and model
-----------------------------

The study model is a portion of a half-cylinder with a height :math:`H=2m`, radius :math:`R=10m` and a thickness of :math:`\mathit{ep}=1m`. This half-cylinder is extended at its end located in :math:`x>0` by a rectilinear part of the same height and :math:`3m` long. A cable crosses the concrete following its geometry at a distance :math:`\mathit{ex}=\mathrm{0,4}m` from the middle sheet on the outside.

The concrete is modelled as a shell (Q4GG element). It consists of 275 QUAD4 meshes, 5 stitches in its height and 55 in its length (including 50 on the cylindrical part and 5 on the rectilinear part).

The cable is modelled in BARRE elements, it consists of 55 SEG2 meshes.


.. image:: images/10000000000004650000023AF2E5649D14228D71.png
    :width: 6.3374in
    :height: 3.2102in


.. _RefImage_10000000000004650000023AF2E5649D14228D71.png:

Figure 1: Meshing

For D, E, and F models, DIS_T elements based on SEG2 meshes at the nodes combined (the first node being a cable node) are added to the mesh (using the CREA_SEG2 feature of CREA_MAILLAGE) and to the model.


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

The properties of concrete for the cylinder and of steel for the cable are given in the following table:


+-----------------------+------------------------------------+---------------------------------------------------+----------------------------------------------------+
|**Material**           |**Concrete**                        |**Steel**                                                                                               |
+-----------------------+------------------------------------+---------------------------------------------------+----------------------------------------------------+
|**Young Module**       |:math:`3\times {10}^{10}\mathit{Pa}`|:math:`2\times {10}^{11}\mathit{Pa}`                                                                    |
+-----------------------+------------------------------------+---------------------------------------------------+----------------------------------------------------+
|**Poisson Coefficient**|:math:`0.0`                         |:math:`0.0`                                                                                             |
+-----------------------+------------------------------------+---------------------------------------------------+----------------------------------------------------+
|**Density**            |:math:`2500\mathit{kg}/{m}^{3}`     |A, B, and C modeling :math:`500\mathit{kg}/{m}^{3}`|D, E, and F modeling :math:`7800\mathit{kg}/{m}^{3}`|
+-----------------------+------------------------------------+---------------------------------------------------+----------------------------------------------------+