TY - JOUR

T1 - Frequency-dependent acoustics of composites with interfaces

AU - Avellaneda, M.

AU - Berlyand, L.

AU - Clouet, J. F.

PY - 2000/5

Y1 - 2000/5

N2 - We study the scattering of an incident wave by a composite medium with periodic microstructure in a slab geometry. We compute the expansion on the wave field in powers of the parameter ε = dλ, where d is the characteristic scale of the microstructure and λ is the wavelength. For ε = 0 this corresponds to homogenization theory. Here, we focus on the correction terms for ε>0 and compute the frequency-dependent impedance and the energy reflection coefficient as functions of ε, the material properties, and the volume fraction. This is used to describe the shape and amplitude of a transmitted or reflected pulse signal.

AB - We study the scattering of an incident wave by a composite medium with periodic microstructure in a slab geometry. We compute the expansion on the wave field in powers of the parameter ε = dλ, where d is the characteristic scale of the microstructure and λ is the wavelength. For ε = 0 this corresponds to homogenization theory. Here, we focus on the correction terms for ε>0 and compute the frequency-dependent impedance and the energy reflection coefficient as functions of ε, the material properties, and the volume fraction. This is used to describe the shape and amplitude of a transmitted or reflected pulse signal.

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U2 - 10.1137/S0036139998342818

DO - 10.1137/S0036139998342818

M3 - Article

AN - SCOPUS:0034479398

VL - 60

SP - 2143

EP - 2181

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

SN - 0036-1399

IS - 6

ER -