Topology Optimization of Auxetic Hyperelastic Biomaterials for Enhanced Tailored Properties and Ultra‐High Expansion

Abstract

Topology optimization using finite element analysis offers a promising approach for designing new biomaterials with mechanical properties similar to human skin and superior auxetic properties compared to conventional materials. This innovative technique addresses the challenges associated with trial‐and‐error‐based material design and experimental iterations. In this study, finite element‐based topology optimization is employed to achieve optimized material structural patterns that maximize the lateral expansion of previously established auxetic designs and replicate specific directional properties observed in human skin. The topology‐optimized models, including slit, I‐shape, anisotropic I‐shape, triangular pattern, and re‐entrant shapes, demonstrate material structures with lower maximum stress, reducing the likelihood of material rupture failure and enhancing lateral expansion by more than 50% compared to the initial patterns. These novel designs and their unique behaviors are verified using the theoretical model of hyperelastic auxetic materials. This study represents the first analysis of topology optimization applied to soft hyperelastic biomaterials, focusing on both maximizing auxetic properties and replicating auxetic properties of human skin. The auxetic designs and topology optimization technique developed in this research hold potential for integration into biomedical and personal protective applications.