A stress-based fatigue criterion to assess high-cycle fatigue under in-phase multiaxial loading conditions

• A brief overview of several stress-based high-cycle fatigue criterions.
• The new criterion for multiaxial fatigue life prediction in fatigue life has been presented.
• Analytical predictions are compared using experimental data.
• Predictions based on the proposed criterion are compared with Gough’s criterion.

In this paper, a new criterion for in-phase multiaxial fatigue life prediction in high-cycle fatigue is proposed. The new stress-based fatigue criterion is based on the modification of Gough’s limit curve. In the case of cyclic plane stress loading, the particular form of the criterion is discussed in detail. The values of parameters in the proposed criterion can be obtained based on fatigue limits in bending and torsion. This allows use of the proposed criterion with almost no limitations to engineering calculations for different metals. Analytical predictions are compared to available experimental data from the literature for six different materials. Additionally, the predictions based on the proposed criterion are compared with the classic Gough’s criterion. The predictions based on the proposed criterion seem to be more precise for the analysed materials.