Safety factor in a stress fatigue continuum model

Abstract

The article examines the calculation of the safety factor for infinite lifetime in a stress-fatigue model based on continuum mechanics. The stress history can be either deterministic or stochastic. The calculation of the safety factor is reduced to finding the maximum value of the endurance function. In the case of a stochastic stress history, the values of the durability function also form a stochastic process with a maximum value probability distribution. The method is illustrated by simple one-dimensional and multi-axis industrial example calculations.