Effective speed of shear waves in phononic crystals
نویسندگان
چکیده
منابع مشابه
Topology optimization of 2D phononic band gap crystals based on BESO methods
1. Abstract: Phononic band gap crystals, which could prohibit the propagations of elastic waves in certain frequency, are consisted of periodically distributed inclusions embedded in a matrix with high contrast in mechanical properties. In recent years, systematic design of phononic band gap crystals has attracted increasing attention due to their wide applications such as sound insulation, wav...
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The existence of surface elastic waves at a mechanically free surface of granular phononic crystals is studied. The granular phononic crystals are made of spherical particles distributed periodically on a simple cubic lattice. It is assumed that the particles are interacting by means of normal, shear, and bending contact rigidities. First, Rayleigh-type surface acoustic waves, where the displac...
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Effective anti-plane quasistatic moduli for 2D piezoelectric phononic crystals of arbitrary anisotropy are formulated analytically using the plane-wave expansion (PWE) method and the recently proposed monodromy-matrix (MM) method. The latter approach employs Fourier series in one dimension with direct numerical integration along the other direction. As a result, the MM method converges much qui...
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In this paper, a two-dimensional phononic crystal comprising of steel rod in water is investigated. Three cross- sections for this rod are considered using finite element method (EFM). We plot the equifrequency surface of the first band, because of equifrequency surface convex around the edge of the first Brillouin Zone, we guess the negative effective phononic mass and so negative refraction. ...
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Bragg band gaps of phononic crystals generally, but not always, open at Brillouin zone boundaries. The commonly accepted explanation stems from the empty lattice model: assuming a small material contrast between the constituents of the unit cell, avoided crossings in the phononic band structure appear at frequencies and wavenumbers corresponding to band intersections; for scalar waves the lowes...
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