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


Calculation method
-----------------

In :math:`\mathrm{3D}`, (modeling A), the first calculation (behavior VISC_CIN1_CHAB) is used as a reference. The values obtained at the last increment are (at any point in the mesh):


.. csv-table::

    "Constraint", ":math:`\mathit{SIXX}` ", "-9.55E+01"
    "Total deformation", ":math:`\mathit{EPXX}` ", "-6.76443E-04"
    "Plastic deformation", ":math:`\mathit{EPXX}` ", "-1.87292E-05"


The calculations with MONO_ISOT1 or the first calculations with MONO_ISOT2 are validated by comparison with this result or by inter-comparison.

On the other hand, the other calculations (behaviors MONO_VISC2, MONO_DD_KR) do not have a reference value. The tests are therefore non-regression. In addition, the five calculations corresponding to Zirconium do not have a reference solution but must give one and the same solution.

In :math:`\mathrm{2D}`, (modeling B), the first calculation (behavior VISC_CIN1_CHAB) is used as a reference. The values obtained at the last increment are (at any point in the mesh, because uniform deformation is imposed):


.. csv-table::

    "Constraint", ":math:`\mathit{SIXX}` ", "95.999316"


The second and third calculations (behavior MONOCRISTAL with sliding system UNIAXIAL) are validated by comparison with this result.

The third calculation uses explicit integration (RUNGE_KUTTA), while the second calculation uses implicit integration.