A modified nonlinear fatigue damage accumulation model under multiaxial variable amplitude loading

•A nonlinear cumulative fatigue damage model is proposed.•The model is an association between cumulative damage and Crossland׳s fatigue criterion.•The application of the proposed model requires a very limited number of material properties.•An example is given to demonstrate the reliability of the method.•The proposed model can be a reliable and useful tool for the lifetime prediction.

The purpose of this work is to develop a numerical tool, based on the finite element method, in order to determine the cumulative fatigue damage evolution and the remaining lifetime for mechanic parts under cyclic loadings. A modified nonlinear cumulative fatigue damage model, extended to multiaxial loading, taking into account the effects of the amplitude and sequence of variable amplitude loading is proposed. Various load histories were applied to a carbon steel type SM 45 C specimen. In order to highlight the ability of the new proposed model, the results were compared to those obtained according to the Palmgren–Miner׳s rule. The proposed model can be a reliable and useful tool for the lifetime prediction in the field of design and maintenance.