Reference problem
=====================


Geometry
---------

The analysis consists in extracting the elementary cycles by the cycle counting method of RAINFLOW [:ref:`R7.04.01 <R7.04.01>`].

First, we filter the loading history into constraints with a filter level of 0.9.

Then a stress concentration coefficient :math:`{K}_{T}=1` is applied.

**Charging history**


.. csv-table::

    ":math:`t` ", "0. ", "1. ", "2. ", "3. ", "4. ", "5. ", "6. ", "7. ", "8. ", "9. ", "10. ", "11. ", "12. ", "13."
    ":math:`{\sigma }_{1}(t)` ", "4. ", "7. ", "2. ", "10. ", "9.6", "9.8", "5. ", "9. ", "3. ", "4. ", "2. ", "2.4", "2.2", "12."



.. csv-table::

    "14. ", "15. ", "16. ", "17. ", "18. ", "19. ", "20. ", "21. ", "22. ", "23. ", "24. ", "25. ", "26. ", "27. ", "28."
    "5. ", "11. ", "1. ", "4. ", "3. ", "10. ", "6. ", "8. ", "12. ", "4. ", "8. ", "1. ", "9. ", "4. ", "6."