Abstract
Metamaterials are artificial materials that are designed to manipulate waves as desired. The unusual properties of a metamaterial are derived from its complex building blocks which make the development of effective medium theory challenging. In this work, effective medium parameters, such as anisotropic mass density and moment of inertia, are obtained for metamaterials based on mechanical models consisting of masses and springs. The effective moment of inertia is capable of providing a clear understanding of the mechanism of rotational modes which are widely observed in both two- and three-dimensional phononic crystals and metamaterials. The effective medium descriptions are served as guidance in the engineering of the building block to achieve rich resonances that lead to intriguing properties of the metamaterial. (Support of this work comes from KAUST Start-up Package)
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