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


Geometry
---------


.. image:: images/Shape1.gif


.. _RefSchema_Shape1.gif:

Y

Z

X

**Point coordinates:**


.. csv-table::

    ":math:`A` "," :math:`B` "," :math:`C` "," :math:`D` "," "," :math:`E` "," :math:`F` "," :math:`G` "," :math:`H`"
    "0. ", "1. ", "1. ", "0. ", "0. ", "1. ", "1. ", "0."
    "0. ", "0. ", "1. ", "1. ", "0. ", "0. ", "1. ", "1."
    "0. ", "0. ", "0. ", "0. ", "-1. ", "-1. ", "-1. ", "-1."



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

**Elastic properties:**

:math:`E=165000\mathrm{MPa}`

:math:`\nu =0.3`

**Viscous properties:**

LEMA_SEUIL law

:math:`A=14.143{10}^{-13}{\mathrm{MPa}}^{-1}\mathrm{.}{\mathrm{neutron}}^{-1}`

:math:`S=0.0788{10}^{10}{\mathrm{MPa}}^{-1}\mathrm{.}{s}^{-1}`


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

**Surface strength:**

:math:`F=220\mathrm{MPa}`

**Irradiation:**

Irradiation flow: :math:`1.85{10}^{15}\mathrm{neutrons}\mathrm{.}{\mathrm{cm}}^{2}\mathrm{.}{s}^{-1}`.

**Travel required:**

Knot :math:`A`: :math:`\mathrm{DX}=\mathrm{DY}=\mathrm{DZ}=0`.

Knot :math:`E`: :math:`\mathrm{DX}=\mathrm{DY}=0`.

Node :math:`D` and node :math:`H`: :math:`\mathrm{DX}=0`.

On the first time increment the force goes from :math:`0` to its maximum value :math:`220\mathrm{MPa}` linearly with respect to time to then be kept constant throughout the duration of the experiment.