Influence of microstructure on size effect for metamaterials applied in composite structures

Abstract

Microstructure related deviation from elastic response is known as ''size-effect.'' Metamaterials -for example modeled by strain gradient elasticity -capture this effect adequately by means of additional parameters to be determined. We employ a methodology based on asymptotic homogenization in order to obtain metamaterials parameters and then present the influence of these additional parameters by using simulations. By means of the finite element method, we solve metamaterials deformation modeled by the strain gradient elasticity. The implementation is established by open-source packages (FEniCS) for a realistic, composite structure with round and oval inclusions.

Topics & Concepts