Frequency-dependent acoustics of composites with interfaces

M. Avellaneda, L. Berlyand, J. F. Clouet

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)2143-2181
Number of pages39
JournalSIAM Journal on Applied Mathematics
Volume60
Issue number6
DOIs
StatePublished - May 2000

ASJC Scopus subject areas

  • Applied Mathematics

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