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Effective Scattering and Damping of Elastic Waves in Multi‐Component Mixtures
Author(s) -
Bobeth M.,
Diener G.
Publication year - 1988
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221450109
Subject(s) - isotropy , scattering , physics , dissipative system , wavelength , computational physics , scattering length , mechanics , classical mechanics , optics , quantum mechanics
Scattering of elastic waves propagating in a strongly heterogeneous medium with aggregate topology is considered within a modified effective‐medium procedure. The calculations are restricted to long wavelengths or low frequencies and are based on results obtained in a previous paper for the fluctuations of a static strain field. Explicit results are presented for isotropic components and spherical grains. In particular, effective differential and total cross‐sections for the grains of different components are discussed. For non‐dissipative media the total cross‐sections are related to the damping rates of longitudinal and transverse waves. Numerical examples for the damping rates and the angular dependence of the differential cross‐sections are presented for some binary mixtures. In strongly heterogeneous media near the percolation threshold high values of the scattering rates and a nearly isotropic distribution are obtained.