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


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

As reference results, we will adopt the displacements, the Cauchy stress :math:`\sigma` and the cumulative plastic deformation :math:`p` obtained with the behavior VMIS_ISOT_TRAC (also validated with DEFORMATION =' SIMO_MIEHE 'and' GDEF_LOG ').

We will compare the solutions obtained at time :math:`t\mathrm{=}\mathrm{2 }s` (:math:`\Delta T\mathrm{=}100°C`, traction :math:`u`)


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

Very low since it is a question of inter-comparison between two formally identical behaviors. However, the discretization of the law of work-hardening in terms of power leads to uncertainty.


Bibliographical references
---------------------------


1. V. CANO, E. LORENTZ: Introduction to the *Code_Aster* of a model of behavior in large elastoplastic deformations with isotropic work hardening - Internal note EDF DER HI‑74/98/006/0