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


Geometry
---------

It is a material point, representative of a state of homogeneous stresses and deformations.


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

They come from test SSNL129 [:ref:`V6.02.129 <V6.02.129>`]


+-----------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Isotropic elasticity                           |Young's modulus:                                                                                                                                                                                                                                           |
+                                               +                                                                                                                                                                                                                                                           +
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+                                               + .. image:: images/Object_2.svg                                                                                                                                                                                                                            +
|                                               |    :width: 115                                                                                                                                                                                                                                            |
+                                               +    :height: 18                                                                                                                                                                                                                                            +
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+                                               +                                                                                                                                                                                                                                                           +
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+                                               +                                                                                                                                                                                                                                                           +
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+                                               + Poisson's ratio: :math:`\nu =0.3`                                                                                                                                                                                                                         +
|                                               |                                                                                                                                                                                                                                                           |
+-----------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Traction curve (:math:`\text{mod.}` A, B and C)|                                                                                                                                                                                                                                                           |
+                                               + .. image:: images/100002010000023B000001A8225D4A854006DF71.png                                                                                                                                                                                            +
|                                               |    :width: 108                                                                                                                                                                                                                                            |
+                                               +    :height: 24                                                                                                                                                                                                                                            +
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+                                               +                                                                                                                                                                                                                                                           +
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+-----------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|                                               |                                                                                                                                                                                                                                                           |
+-----------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
|Coefficient for the viscous law VISC_SINH      |                                                                                                                                                                                                                                                           |
+                                               + .. image:: images/Object_12.svg                                                                                                                                                                                                                           +
|                                               |    :width: 115                                                                                                                                                                                                                                            |
+                                               +    :height: 18                                                                                                                                                                                                                                            +
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+                                               +                                                                                                                                                                                                                                                           +
|                                               | .. image:: images/Object_13.svg                                                                                                                                                                                                                           |
+                                               +    :width: 115                                                                                                                                                                                                                                            +
|                                               |    :height: 18                                                                                                                                                                                                                                            |
+                                               +                                                                                                                                                                                                                                                           +
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+                                               + .. image:: images/Object_14.svg                                                                                                                                                                                                                           +
|                                               |    :width: 115                                                                                                                                                                                                                                            |
+                                               +    :height: 18                                                                                                                                                                                                                                            +
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+-----------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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+-----------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+



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

The load is in imposed deformations along the :math:`y` axis, corresponding to speeds :math:`\dot{\varepsilon }` of :math:`{10}^{-3}{s}^{-1}`

:math:`{\varepsilon }_{\mathrm{yy}}=0.2` for :math:`T=2000s`, in 100 increments.

All other components of the deformation are zero.


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

Zero stresses and deformations at :math:`t=0`.