Theoretical derivation and experimental examination of the stromeyer relation for the analysis of fatigue data

In 1914 Stromeyer published the empirical relation +/- S-n = Fl + C(10(6)/n)(1/4) for the mathematical description of fatigue (+/- S-n nominal fatigue stress; Fl - fatigue limit; C - constant; n - number of stress cycles). In a previous publication Graefe has given a theoretical explanation of such a relation, In this paper the statistical distribution of the experimental fatigue data for steel is tested and no deviation from a normal distribution is found. The frequency dependence of the fatigue data is analyzed and is explained by temperature variations due to internal friction.