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
----------------------

The counting of the elementary cycles by the RCCM method leads to:


.. csv-table::

    "Nb_Cycl = 2", "Cycle 1", "Vale_Min:", "-500. ", "Vale_Max:", "600."
    "", "Cycle 2", "Vale_Min:", "50. ", "Vale_Max:", "50."



* **First call** to POST_FATIGUE:

calculation of the elementary damage by the Wöhler method without correcting HAIGH:


.. csv-table::

    "Cycle 1", "Damage:", "1.053257E—3"
    "Cycle 2", "Damage:", "0."


Calculation of total damage by linear Miner accumulation:

Damage: 1.053257E—3


* **Second call** to POST_FATIGUE:

calculation of elementary damage by the Manson-Coffin method:


.. csv-table::

    "Cycle 1", "Damage:", "1.053257E—3"
    "Cycle 2", "Damage:", "0."


Calculation of total damage by linear Miner accumulation:

Damage: 1.053257E—3


* **Third call** to POST_FATIGUE:

calculation of the elementary damage by the Wöhler method with Gerber correction:


.. csv-table::

    "Cycle 1", "Damage:", "1.063631E—3"
    "Cycle 2", "Damage:", "0."


Calculation of total damage by linear Miner accumulation:

Damage: 1.063631E—3


* **Fourth call** to POST_FATIGUE:

calculation of the elementary damage by the Wöhler method with Goodman correction:


.. csv-table::

    "Cycle 1", "Damage:", "1.250219E—3"
    "Cycle 2", "Damage:", "0."


Calculation of total damage by linear Miner accumulation:

Damage: 1.250219E—3


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

Analytical solution.


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


1. Estimation of fatigue at large numbers of cycles. Document [:ref:`R7.04.01 <R7.04.01>`].