Dynamic homogenization of an acoustic metamaterial: Effective parameters of a rectangular lattice of cylinders
作者： M.-F. Ponge , O. Poncelet , D. Torrent
DOI: 10.1109/METAMATERIALS.2016.7746518
关键词: Mathematical analysis 、 Classical mechanics 、 Effective mass (solid-state physics) 、 Bulk modulus 、 Wave vector 、 Metamaterial 、 Physics 、 Wavenumber 、 Acoustic wave 、 Homogenization (chemistry) 、 Plane wave expansion method
摘要: We present a dynamical homogenization model for the propagation of acoustic waves in periodic arrangements scatterers. The is based on plane wave expansion method and leads to effective parameters associated with propagation. Effective mass density, bulk modulus Willis term are frequency vector dependant. case rectangular lattice cylinders investigated. local approximation fits small numbers. branches dispersion curves correctly found because anisotropy density.
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