TY - GEN
T1 - Scattering of elastic waves by an interface crack
AU - Qu, Jianmin
PY - 1993
Y1 - 1993
N2 - 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.
AB - 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.
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M3 - Conference contribution
AN - SCOPUS:0027867237
SN - 0791810283
T3 - American Society of Mechanical Engineers, Noise Control and Acoustics Division (Publication) NCA
SP - 201
EP - 213
BT - Dynamic Characterization of Advanced Materials
A2 - Farabee, Theodore M.
A2 - Keith, William L.
A2 - Lueptow, Richard M.
T2 - Proceedings of the 1993 ASME Winter Annual Meeting
Y2 - 28 November 1993 through 3 December 1993
ER -