Topology Optimization of Load‐Bearable Phononic Crystals

Phononic crystals are artificially engineered metamaterials that exhibit outstanding performance in vibro‐isolation. While their optimization for vibro‐isolation applications has been widely studied, the integration of load‐bearing functionality requires further research. Our work presents a topology optimization framework for load‐bearing phononic crystals that maximizes band‐gaps under modulus constraints. Two‐scale asymptotic homogenization theory is considered to calculate the effective modulus under a static or dynamic regime. Additionally, a material interpolation model with independent penalty factors is employed to analyze its influence on the optimized configuration. Numerical results confirm the effectiveness of the proposed optimization framework and reveal the significant impact of load‐bearing constraints on vibro‐isolation performance. This work enriches the theoretical foundation and methodological framework for multifunctional phononic crystals that combine load‐bearing and vibro‐isolation performance.