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


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

Explicit integration: the cumulative plastic deformation :math:`p` is written as:


.. image:: images/Object_3.svg
    :width: 519
    :height: 325


.. _RefImage_Object_3.svg:

At any time :math:`t`, we have:


.. image:: images/Object_5.svg
    :width: 519
    :height: 325


.. _RefImage_Object_5.svg:


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

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


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

No analytical solutions.