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Manipulating acoustic wave by anisotropic materials, especially, acoustic metamaterials, has received much attention recently. The research presents a new kind of anisotropic acoustic metamaterial constructed by imbedding multi-layer high-modulus membranes into soft acoustic materials, and the metamaterial possesses strong acoustic anisotropy and can be applied to change the direction of acoustic wave propagation. To begin with, unit cell models of the acoustic metamaterials with single-layer imbedded membrane and double-layer imbedded membranes are established, respectively; and then their acoustic dispersion characteristics in low frequency range are investigated by the finite element method; meanwhile, considering the different acoustic wave angles of incidence relative to the membrane direction, the average velocities of acoustic wave propagating in the corresponding metamaterials are analyzed by the transient response full integration method. And these results are basically the same as those of the asymptotic homogenization method. Next

Membrane-imbedded metamaterials; Dispersion characteristics; Effective material parameters; Wave propagation;