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


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

Since the loading history is very simple, the reference results can be obtained manually by applying the algorithms presented in the reference document [:ref:`R7.04.01 <R7.04.01>`]


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


.. csv-table::

    ":math:`t` "," :math:`p(t)` **(Cumulative plastic deformation)**"
    "43.11", "0."
    "100. ", "0.000848907"
    "1000. ", "0.014474925"
    "10000. ", "0.178374238"
    "20000. ", "0.524693005"
    "21000. ", "0.602827469"
    "2000. ", "0.73829052"
    "22200. ", "0.792149807"
    "22400. ", "0.967604351"


The value of the accumulated damage is: 3.819263222


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

Analytical solution.


References
----------


1. Reference Documentation Code_Aster R7.04.01, Estimation of lifespan in fatigue at large numbers of cycles and in oligocyclic fatigue.