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


Geometry
---------

D

C

F

joint

Y

A

B

X

We consider a square with side :math:`100\mathit{mm}` joined to a cohesive surface on the reference axis :math:`x`. The joint is modelled by a thin plate with a thickness of :math:`\mathrm{0,1}\mathit{mm}`.


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

*Plaque*:

The material of the plate is isotropic elastic with a zero thermal expansion coefficient whose properties are:


* :math:`E=2.E11\mathit{MPa}`


* :math:`\nu =0.3`


* :math:`\alpha =0.3`


* :math:`\rho =\mathrm{750kg}/\mathit{mm3}`

*Joint*:


* Distribution of the temperature of the temperature in the joint:

The joint is heated beforehand and the temperature distribution is linear along x.

T

100

X

0

100


* The joint obeys a Marigo-Frankfurt brittle fracture law with temperature dependence RUPT_FRAG_F0.


*
    * GC: critical energy density of the joint


.. image:: images/1000020100000280000001E052B7EA1948A9C71F.png
    :width: 4.4882in
    :height: 3.1953in


.. _RefImage_1000020100000280000001E052B7EA1948A9C71F.png:


*
    * SIGM_C: Critical constraint at the origin


.. image:: images/1000020100000280000001E0E5D7310269C30976.png
    :width: 4.302in
    :height: 2.928in


.. _RefImage_1000020100000280000001E0E5D7310269C30976.png:


*
    * PENA_ADHERENCE: zero regularization parameter


    .. image: images/1000020100000280000001e0834916c32130 FCF6 .png
        :width: 3.9071 in
        :height: 2.5528 in


    .. _refImage_1000020100000280000001e0834916c32130 FCF6 .png:


    * PENA_LAGR =100, RIGI_GLIS =10,


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

The opening is modelled by a nodal force exerted on the point A :math:`15.18750\mathit{E8}N`.


Initial conditions
--------------------

Initial acceleration and zero initial speed. We simulate the problem from 0 to 0.01s.