Session: 12-10-02: Advancements of Data-Driven and Differentiable Computing in Solid Mechanics

Paper Number: 144580

144580 - Topological, Material, and Geometric Optimization of Polarized Kagome Lattices for Enhanced Impact Mitigation With Small-Profile Projectiles 

Topological metamaterials, renowned for their unique topological properties and dispersion capabilities, have emerged as promising solutions for impact mitigation. In this study, we introduce a type of Maxwell lattice — the polarized Kagome lattice — and investigate its potential for impact mitigation, with a particular emphasis on scenarios involving small-profile projectiles. The polarized lattices possess an asymmetrical localization of boundary modes to one edge of the structure, thereby providing a mechanism for spatial attenuation of elastic waves. We demonstrate that the inherent topological polarization of this lattice can be finely tuned by adjusting the architectural configuration of the unit cells, thereby offering opportunities for enhanced impact mitigation when combined with optimal choices of elastic and visco-elastic materials, as well as geometric dimensions. The relationship between transmitted force, impulse, and lattice polarization is found to be non-monotonic, indicating an optimal range of polarization for effective impact mitigation. Therefore, we implement a multi-step optimization strategy leveraging finite element analysis and experimental validation through impact tests to explore the optimal polarization, slenderness ratio, and material properties, both elastic and visco-elastic, aiming to achieve simultaneous maximum reduction in peak force and impulse dissipation. Our findings underscore the efficacy of the polarized Kagome lattice in impact mitigation with small-profile projectiles and suggest its potential as a solution for ballistic penetration.

Presenting Author: Xuedong Zhai University of Michigan

Presenting Author Biography: Xuedong Zhai is currently a postdoctoral research fellow supervised by Prof. Ellen
Arruda in the Department of Mechanical Engineering at the University of Michigan. He
received his Ph.D. degree in Aeronautics and Astronautics
from Purdue University in 2019. His current research focuses on the design and optimization of mechanical metamaterials using experimental and numerical methods for a broad spectrum of applications.

Authors:

Xuedong Zhai University of Michigan
James Mcinerney The University of Michigan
Fan Liu University of Michigan
Karina Heye-Smith University of Michigan
Ellen Arruda University of Michigan
Xiaoming Mao University of Michigan