Fatigue-constrained topology optimization using the constrained natural element method

Abstract

This research presents a topology optimization framework to achieve volume minimization with multi-axial high cycle fatigue criteria constraints by constrained natural element method. To solve the local minimization problem, the method based on the augmented Lagrangian formula is adopted. Special attention is given to the optimization results based on the stress-invariant fatigue criteria and the critical plane fatigue criteria under different loading conditions, including proportional and non-proportional loading.