Nonlocal Approaches to the Dynamics of Metamaterials

A metamaterial is a broad concept of engineered material with outstanding properties not existing in conventional materials. Research on metamaterials is strongly interdisciplinary and includes materials science, physics, vibration and acoustic engineering, optics. In the last decades, a considerable number of studies focused on design, experimental characterization and computational modelling of metamaterials and, among others, nonlocal theories soon revealed a great potential of capturing essential behaviour at relatively-low computational costs. This Chapter aims to provide a concise review of nonlocal theories as applied to metamaterials, with special consideration given to vibrations and dynamics.