Geometrical optimization of notches under multi-axial fatigue loading

Geometrical optimization of notched parts under multi-axial fatigue loadings is the object of the present paper. By considering that usual structural optimization criteria based on the Von-Mises equivalent stress are strictly applicable to static loading, and that their application to fatigue loading is questionable, particularly when the applied loads are out-of-phase, an approach based on Computer Aided Optimization proposed by Mattheck in the ‘90s of the last century is proposed. The original CAO method is modified by introducing the Liu–Zenner fatigue criterion. A numerical routine is developed that, by means of an interface to ABAQUS FE code, is able to lead to an optimized geometry of notched details under general multi-axial loading. Obtained results demonstrate the dependency of optimized geometry on relative phase of the applied loads.