Verification of hyperelastic multi-material topology optimization to improve energy absorption performance

Abstract

In this study, we propose a new multi-material topology optimization method based on reaction forces to improve the trade-off relationship between mass, stiffness, and energy absorption performance of structures such as car bodies. This approach addresses the limitations of conventional average compliance and energy-based metrics, accommodates large deformations, and facilitates experimental evaluation. By maximizing reaction forces, this formulation makes it possible to enhance energy absorption performance under enforced displacements. The hyperelastic multi-material topology optimization model is derived from previous studies. The proposed method is demonstrated and discussed through several numerical examples.