Fail-safe topology optimization considering fatigue

This paper proposes an efficient fail-safe approach considering fatigue. The method extends classical fail-safe optimization to the fatigue field in the framework of the solid isotropic material with penalization (SIMP) method. The material properties of the failure model are interpolated by using the equivalent fatigue von Mises stress. The worst-case compliance is considered to minimize as the optimization objective, using the Kreisselmeier-Steinhauser (KS) function to approximate the non-differentiable max-operator. The fatigue sensitivity is derived by the adjoint method, and a general fail-safe optimality criteria (FS-OC) method is developed to update design variables. Finally, the effectiveness of this method for fail-safe optimization is verified by several numerical examples with acceptable computational efficiency.