Conclusion ========== In the case of Gaussian, ergodic and stationary loading, two methods of counting cycles find a statistical interpretation and provide an analytical expression of the average damage, involving only the formulation of the material's endurance curve and the standard deviations of the signal and its first and second derivatives. In *Code_Aster*, the calculation of damage under random solicitation is performed by the command POST_FATI_ALEA [:external:ref:`U4.67.05 `]. The user can determine the damage by the method of counting stress peaks (COMPTAGE = 'PIC') or by the method of counting overruns of a given level (COMPTAGE = 'NIVEAU'). According to the method adopted, the random signal must be introduced by the data of spectral moments of order 0 and 2 or by the data of spectral moments of order 0, 2 and 4 (key words MOMENT_SPEC_0, MOMENT_SPEC_2 and 4) (key words, and MOMENT_SPEC_4). Spectral moment values can also be retrieved from a table created by POST_DYNA_ALEA [:external:ref:`U4.76.02 `] (keyword TABLE). The Wöhler curve of the material can be introduced in three distinct forms (according to command POST_FATIGUE [:external:ref:`U4.67.01 `] (calculation of damage at large numbers of cycles) and the software POSTDAM). The quantity determined is the average damage over the duration of the signal that is stored in a table of type POST_FATI_ALEA.