Multiaxial fatigue criterion for complex loading based on stress invariants

A multiaxial criterion for high cycle fatigue based on invariants of macroscopic stress tensor is proposed. The presence of J2,mean allows capturing accurately effects of phase shift and frequency on fatigue limit of material under multiaxial loading. Prediction capacity of the proposed criterion is tested on 119 iso-frequency axial–torsion experiments and some other more complex loadings: biaxial loading and asynchronous loading. Results show that the criterion is in good accordance with the experimental data. Under proportional loading, the assessment of the criterion can be carried out from an analytical solution. Under others loading cases, the numerical implementation of the criterion is very simple and can be easily integrated in a damage model or in a finite element code.