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


Geometry
---------


.. image:: images/Shape2.gif


.. _RefSchema_Shape2.gif:

Cylinder geometry :math:`(m)`:

 :math:`{R}_{0}=1`

 :math:`{R}_{1}=1.02`

 :math:`H=1`


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

Elastic


*
    *
        *
            * Young's module: :math:`E=1.0\times {10}^{6}\mathrm{Pa}`


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

LEMAITRE



         :math:`g(\sigma ,\lambda ,T)={(\frac{1}{K}\frac{\sigma }{(\frac{1}{{\lambda }^{m}})})}^{n}` with :math:`n=2`; :math:`\frac{1}{K}=1`; :math:`\frac{1}{m}=0`

CIN1_CHAB

:math:`R\text{\_}0=0.`

:math:`R\text{\_}I=0.`

:math:`B=0.`

:math:`C\text{\_}I=0.`

:math:`K=0.`

:math:`W=0.`

:math:`G\text{\_}0=0.`

:math:`A\text{\_}I=0.`


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

Imposed displacement (:math:`m`):

County :math:`\mathrm{CD}`


.. image:: images/Shape3.gif


.. _RefSchema_Shape3.gif:

County :math:`\mathrm{AB}`




.. image:: images/Shape4.gif


.. _RefSchema_Shape4.gif: