Estimation of Effective Bulk Modulus of Metamaterial Composites with Coated Spheres Using a Reduced Micromorphic Model

Abstract

Metamaterial composites are a rapidly developing field of engineered materials. These materials are typically created by incorporating periodic inclusions, such as coated spheres, into a matrix. It has been shown that the reduced micromorphic model enables the analysis of the static and dynamic behaviors of metamaterial composites. Based on the reduced micromorphic model, a novel approach for estimating the effective bulk modulus of metamaterial composites is proposed. Utilizing the reduced micromorphic model, a hydrostatic compression test is simulated to derive a closed-form expression for the effective bulk modulus. The material coefficients of the reduced micromorphic model are identified according to the elastic properties of all phases of the composite, and the obtained numerical results are compared with those reported in the literature. Additionally, this study examines the influences of various physical parameters on the effective bulk modulus.