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


.. _Ref482175678:


Geometry
---------

The geometry is chosen deliberately simple, to translate a state of homogeneous stresses and deformations, as is the case in uniaxial traction. This is a volume element represented by a square with side :math:`\mathrm{0.01mm}`. The modeling is axisymmetric, and the traction takes place with imposed deformation.


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

The characteristics are as follows:

Keyword ELAS:

YOUNG = :math:`143006.0\mathrm{MPa}`

NU= :math:`0.33`

Keyword CIN2_CHAB:

R0= :math:`0.01893467592\mathrm{MPa}`

B= :math:`0.2709891156`

R_I= :math:`0.04392231516\mathrm{MPa}`

K= :math:`2.751852265`

W= :math:`-1.157794066`

G1_0= :math:`211.5567568`

G2_0= :math:`0.9105873193`

C1_I= :math:`3946.594428`

C2_I= :math:`49.33873423`

A_I= :math:`10.60515818`

Keyword LEMAITRE

EXP_N = :math:`14.97577311`

ETA = :math:`278.5754646`

UN_SUR_K = :math:`1/278.5754646`

UN_SUR_M = :math:`0.0`


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

:math:`\mathrm{DY}=0` on the bottom

:math:`\mathrm{DX}=0` on the left side

:math:`\mathrm{DY}` imposed on the top, such as:

:math:`\mathrm{DY}(t)=({\mathrm{EPS}}_{\mathrm{final}}\ast H)/\mathrm{tmax}\ast t`

With :math:`{\mathrm{EPS}}_{\mathrm{final}}=0.01`

:math:`H=0.01\mathrm{mm}`

:math:`\mathrm{Tmax}=\mathrm{10000s}`

This corresponds to an imposed deformation rate of :math:`0.01/10000=1.E–6/s`


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

Zero stresses and deformations.