Xuenan Li : The kagome lattice as a mechanical metamaterial

Posted by Ian Tobasco , part of the Analysis and Applied Mathematics Seminar.

At

Oct. 11, 2021, 4 p.m.

In

636 SEO

Abstract

Mechanism-based metamaterials are synthetic materials that exhibit microscale buckling in response to mechanical deformation. Our research focuses on a specific example: the kagome metamaterial. This periodically arranged material has many energy-free buckling patterns without loads on boundaries. In this talk, we will discuss the large-scale behavior of the kagome metamaterial as a nonlinear homogenization problem. The macroscopic theory reveals that only compressive conformal maps achieve zero effective energy. We will also discuss the adequacy of our macroscopic theory with various numerical experiments. The theory is joint work with Robert Kohn, and the numerical results are joint work with Katia Bertoldi and Bolei Deng.