An extension research on the theory of critical distances for multiaxial notch fatigue finite life prediction

Abstract Based on the theory of critical distances (TCD), a new multiaxial notch fatigue life prediction method is proposed in this paper. Firstly, inspired by the means for determining the critical distance of fatigue limit shown in Kitagawa and Takahashi’s diagram, a new measure is proposed to extend the means to the finite life interval. Then, by combining this new measure and the Sih et al. mixed mode fracture criterion, the relationship between axial and torsional notch fatigue lives can be established. Thus, torsional fatigue life can be calculated based on the axial data. Furthermore, on the basis of these obtained data and the modified wohler curve method (MWCM), the multiaxial notch fatigue life can be estimated. As with the original TCD method, the present method preserves the advantage of effective computation through the so-called point method (PM) and linear elastic stress analysis. However, the new method can more fully takes into account the multiaxiality effect by considering both axial and torsional fatigue damage contribution, which is consistent with the thought of MWCM for plain fatigue assessment.