In this paper, a coherent boundary value problem to model metamaterials' behavior based on the relaxed micromorphic model is established. This boundary value problem includes well-posed boundary conditions, thus disclosing the possibility of exploring the scattering patterns of finite-size metamaterials' specimens. Thanks to the simplified model's structure (few frequency- and angle-independent parameters), we are able to unveil the scattering metamaterial's response for a wide range of frequencies and angles of propagation of the incident wave. These results are an important stepping stone towards the conception of more complex large-scale meta-structures that can control elastic waves and recover energy.
@article{arxiv.2111.12001,
title = {Metamaterial shields for inner protection and outer tuning through a relaxed micromorphic approach},
author = {Gianluca Rizzi and Patrizio Neff and Angela Madeo},
journal= {arXiv preprint arXiv:2111.12001},
year = {2022}
}