High-cycle fatigue criterion for anisotropic metals under multiaxial constant and periodic loads

Periodic stress with Cartesian components given in the form of Fourier series is considered. To account for the mean stress effect the modified Soderberg's formula is employed. An equivalent stress with synchronous components is defined. The design criterion for a finite fatigue life of metal elements is formulated. It covers the conditions of both static strength and fatigue safety in the high-cycle regime and includes material constants which have simple physical interpretation, can be determined by uniaxial tests, are related directly to the applied loads, and can reflect material anisotropy.