Journal article
Acoustic propagation in a random saturated medium: The monophasic case
Mathematical methods in the applied sciences, Vol.33(18), pp.2206-2214
12/2010
Handle:
https://hdl.handle.net/2376/117925
Abstract
We study the problem of derivation of an effective model of acoustic wave propagation in a two‐phase, non‐periodic medium modeling a fine mixture of linear elastic solid and a viscous Newtonian fluid. Bone tissue is an important example of a composite material that can be modeled in this fashion. We extend known homogenization results for periodic geometries to the case of a stationary random, scale‐separated microstructure. The ratio ε of the macroscopic length scale and a typical size of the microstructural inhomogeneity is a small parameter of the problem. We employ stochastic two‐scale convergence in the mean to pass to the limit ε→0 in the governing equations. The effective model is a single‐phase viscoelastic material with long‐time history dependence. Copyright © 2010 John Wiley & Sons, Ltd.
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Details
- Title
- Acoustic propagation in a random saturated medium: The monophasic case
- Creators
- Robert P GilbertAlexander PanchenkoAna Vasilic
- Publication Details
- Mathematical methods in the applied sciences, Vol.33(18), pp.2206-2214
- Academic Unit
- Mathematics and Statistics, Department of
- Publisher
- John Wiley & Sons, Ltd; Chichester, UK
- Number of pages
- 9
- Identifiers
- 99900548564901842
- Language
- English
- Resource Type
- Journal article