Multi-Objective Automatic Discovery of Optimized Metamaterials for Varying Velocity Impact Protection

Abstract: 

Mechanical metamaterials have demonstrated exceptional impact performance while remaining lightweight. Impact resistance has traditionally been investigated using quasi-static simulations, often with the assumption that performance will translate to high-velocity impact scenarios. However, critical crash protection parameters—such as peak stress and absorbed energy—are highly sensitive to impact velocity, leading to inconsistent performance under dynamic loading. To address this, we introduce a strain-rate-aware, active deep learning framework that enables multi-objective optimization of impact protection metrics across a wide range of impact velocities. Our framework captures the strain-rate sensitivity of architected lattices by learning to control spatial gradation in cellular metamaterials, resulting in over 200 % enhancement in impact protection relative to state-of-the-art designs such as Voronoi and re-entrant lattices. We demonstrate its practical utility by designing next-generation lattice structures for automotive bumper systems that satisfy multiple, velocity-specific safety criteria—capabilities beyond those of conventional designs. More than just a predictive tool, this framework marks the first step towards enabling adaptable impact-resistant structures across dynamic regimes.

Keywords: Impact protection, Metamaterials, Multi-objective optimization, Deep learning

Author: 
Seokpum Kim
H. Felix Wu
Ellen C. Lee
Publication date: 
August 29, 2025
Publication type: 
Journal Article
Citation: 
Satpati, A., Maurizi, M., Yao, D., Kim, S., Wu, H. F., Lee, E. C., & Zheng, X. R. (2025). Multi-objective automatic discovery of optimized metamaterials for varying velocity impact protection. Materials & Design, 114657. https://doi.org/10.1016/j.matdes.2025.114657

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