A Study on Proportional Topology Optimization for Nonlinearities Material with Cyclic Load

Abstract

This research proposes a proportional technique for updating an element density value for the topology optimization process. Fully stress design criterion for the topology optimization was combined with being one factor into the proportional function for updating the density value. An internal energy density was focused on the maximization problem and defined to the objective function with stress constraint. The cyclic load which the load value is not constant and vary by the time during the analysis process was applied to the structure that becomes dynamic analysis. For material property, the characteristic of isotropic and kinematic hardening plasticity was considered for the relationship between stress and strain of the structure. Finally, numerical examples were investigated to acquire the final layout and compared to the optimum design which obtained from the linear material properties under the static load.