Location

La Jolla, CA

Start Date

1-1-1993 12:00 AM

Description

The problem formulation for scattering of a plane time-harmonic longitudinal wave by a cylindrical inclusion in a homogeneous, isotropic, linearly elastic solid is reduced to the solution of a system of singular integral equations over the inclusion-matrix interface. The inclusion is circular cylindrical with semi-spherical end sections. The singular integral equations are solved by the boundary element method. Once the interface fields have been determined, the scattered far-field is obtained by the use of elastodynamic representation integrals. Of particular interest is the scattering cross-section. The results can be used to determine the attenuation of a longitudinal wave propagating in a solid with a dilute random distribution of whiskers of the shape analyzed in this paper.

Book Title

Review of Progress in Quantitative Nondestructive Evaluation

Volume

12B

Chapter

Chapter 6: Material Properties

Section

Ceramics and Semiconductors

Pages

1759-1765

DOI

10.1007/978-1-4615-2848-7_225

Language

en

File Format

application/pdf

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Jan 1st, 12:00 AM

Elastodynamic Scattering Cross-Sections for Three-Dimensional Whisker-Like Inclusions

La Jolla, CA

The problem formulation for scattering of a plane time-harmonic longitudinal wave by a cylindrical inclusion in a homogeneous, isotropic, linearly elastic solid is reduced to the solution of a system of singular integral equations over the inclusion-matrix interface. The inclusion is circular cylindrical with semi-spherical end sections. The singular integral equations are solved by the boundary element method. Once the interface fields have been determined, the scattered far-field is obtained by the use of elastodynamic representation integrals. Of particular interest is the scattering cross-section. The results can be used to determine the attenuation of a longitudinal wave propagating in a solid with a dilute random distribution of whiskers of the shape analyzed in this paper.