Abstract
Based on recent research, a new formula is developed for fatigue life under stress cycling and substantiated using fatigue life test results given in the literature. The new formula reveals a correlation between fatigue life, stress range, stress ratio, tensile properties and theoretical endurance limit. The latter, expressed by the equivalent stress amplitude, is a material constant independent of the stress ratio. Using this concept to re-analyse the effect of stress ratio on the endurance limit, it is shown that the expression given in the present study is in good agreement with endurance limit test results while the empirical relationships of Goodman and Geber both overestimate the endurance limit when R > −1. The theoretical endurance limit can be obtained by regression analysis of fatigue life test data or predicted from the conventional endurance limit without any additional tests. An approximate expression is given for the fatigue strength coefficient as a procedure for predicting the fatigue life. Finally, the cause of scatter in fatigue test results is analysed.
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