Scattering of elastic waves by an interface crack

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Abstract

In this paper, the two-dimensional problem of a finite crack along the interface between two dissimilar solids loaded by a plane wave is considered. Through use of the Fourier transform method, the boundary value problem of wave scattering is reduced to a vectorial Cauchy singular integral equation for the dislocation density on the crack face. A Jacobi polynomial technique is then used to solve the integral equation numerically. Crack opening displacements and stress intensity factors are obtained for various incident frequencies and incident angles. It is found that the crack faces interpenetrate each other near the crack tips, and the crack-tip singular fields are oscillatory. The oscillatory index is the same as that for an interface crack under static loading, which can be expressed by the second Dundurs bimaterial constant. For practical purposes, an engineering approximation is proposed to remedy these pathological behaviors near the crack tips.

Original languageEnglish
Title of host publicationDynamic Characterization of Advanced Materials
EditorsTheodore M. Farabee, William L. Keith, Richard M. Lueptow
Pages201-213
Number of pages13
StatePublished - 1993
EventProceedings of the 1993 ASME Winter Annual Meeting - New Orleans, LA, USA
Duration: 28 Nov 19933 Dec 1993

Publication series

NameAmerican Society of Mechanical Engineers, Noise Control and Acoustics Division (Publication) NCA
Volume16

Conference

ConferenceProceedings of the 1993 ASME Winter Annual Meeting
CityNew Orleans, LA, USA
Period28/11/933/12/93

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