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- W2315853800 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 between a typical size of microstructural inhomogeneity and the macroscopic length scale 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 describes a biphasic, viscoelastic material with long-time history dependence. Homogenized system describes macroscopically anisotropic media and is more general than the Biot system." @default.
- W2315853800 created "2016-06-24" @default.
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- W2315853800 date "2013-06-18" @default.
- W2315853800 modified "2023-09-26" @default.
- W2315853800 title "Biphasic Acoustic Behavior of a Non-periodic Porous Medium" @default.
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- W2315853800 doi "https://doi.org/10.1061/9780784412992.234" @default.
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