Generalization of the Waterman and Truell formula for an elastic medium containing random configurations of cylindrical scatterers - Acoustique physique et ultra-sonore Access content directly
Conference Papers Year : 2010

Generalization of the Waterman and Truell formula for an elastic medium containing random configurations of cylindrical scatterers

Andrew N. Norris
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  • PersonId : 846465
Francine Luppé

Abstract

Propagation of P and SV waves in an elastic solid containing randomly distributed inclusions in a half-space is investigated. The approach is based on a multiple scattering analysis similar to the one proposed by Waterman and Truell for scalar waves. The characteristic equation, the solution of which yields the effective wave numbers of coherent elastic waves, is obtained. Formulae are derived for the effective wave numbers in a dilute random distribution of identical scatterers. They generalize the formula obtained by Waterman and Truell for scalar coherent waves. It is shown that P and SV waves are coupled for non circular cylinders but uncoupled for circular cylinders.

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Dates and versions

hal-00533160 , version 1 (05-11-2010)

Identifiers

  • HAL Id : hal-00533160 , version 1

Cite

Jean-Marc Conoir, Andrew N. Norris, Francine Luppé. Generalization of the Waterman and Truell formula for an elastic medium containing random configurations of cylindrical scatterers. 10ème Congrès Français d'Acoustique, Apr 2010, Lyon, France. ⟨hal-00533160⟩
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