Location

La Jolla ,CA

Start Date

1-1-1989 12:00 AM

Description

The investigation of scattering of waves by cracks in an elastic medium and by thin scatterers in an acoustic medium, via analytical and experimental methods, seems to be of continuing importance to nondestructive evaluation. On the analytical side, formulation and numerical solution of crack scattering problems using boundary integral equations is popular and effective because of the very nature of a crack, but this approach still suffers some shortcomings of an analytical nature. That is, the governing equations in their primitive form involve a hypersingular kernel function, and the usual process of regularization to lower the kernel singularity usually introduces undesirable features in the analysis accompanied by computational difficulty.

Book Title

Review of Progress in Quantitative Nondestructive Evaluation

Volume

8A

Chapter

Chapter 1: Fundamentals of Classic Techniques

Section

Elastic Wave Scattering and Inversion

Pages

71-78

DOI

10.1007/978-1-4613-0817-1_9

Language

en

File Format

application/pdf

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Jan 1st, 12:00 AM

Hypersingular Integral Equations for Crack Problems

La Jolla ,CA

The investigation of scattering of waves by cracks in an elastic medium and by thin scatterers in an acoustic medium, via analytical and experimental methods, seems to be of continuing importance to nondestructive evaluation. On the analytical side, formulation and numerical solution of crack scattering problems using boundary integral equations is popular and effective because of the very nature of a crack, but this approach still suffers some shortcomings of an analytical nature. That is, the governing equations in their primitive form involve a hypersingular kernel function, and the usual process of regularization to lower the kernel singularity usually introduces undesirable features in the analysis accompanied by computational difficulty.