Some Modeling and Analysis Techniques for Wave Propagation in Random Media

by Georges A. Bécus, Univ of Cincinnati, Cincinnati, United States,

Document Type: Proceeding Paper

Part of: Probabilistic Mechanics and Structural and Geotechnical Reliability


Some mathematical modeling techniques for the problem of wave propagation in randomly imperfect periodic medium are reviewed: multiscale formulation and random evolution modeling. These models are then analyzed using the results from homogenization theory or the theory of random evolutions. A third approach, Lie series, is also presented. It is shown that all three approaches lead to similar results at least insofar as average or effective behavior of the random medium is concerned.

Subject Headings: Wave propagation | Composite materials | Geotechnical engineering | Mathematics | Homogeneity | Random waves | Probability | Mathematical models

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