Benchmark solution
=====================


Calculation method used for the reference solution
--------------------------------------------------------

3D Code_Aster calculation performed with an element HEXA8 whose all nodes have an imposed displacement of zero according to :math:`\mathrm{Oz}`. This makes it possible to constitute a reference for the case of plane deformations (in plane :math:`(\mathrm{Ox},\mathrm{Oy})`), where an analytical solution or the results of other calculation codes are not available.

The functioning of Lemaître's nonlinear viscoelasticity in :math:`\mathrm{3D}` was itself validated using the SSNP05A test.


Benchmark results
----------------------

:math:`{\varepsilon }_{{\nu }_{\mathrm{xx}}}` and :math:`{\varepsilon }_{{\nu }_{\mathrm{xy}}}` at times :math:`t=30s`, :math:`t=3630s`, :math:`t=3660s`, and :math:`t=3720s`


Uncertainty about the solution
---------------------------

Uncertainty less than :math:`\text{0.5\%}`