Elastic wave scattering by a surface-breaking or subsurface planar crack

A boundary integral representation of the displacement field is developed and solved for the crack-opening displacement by expressing the latter on the crack surface as an expansion in localized functions, whose parametrization is determined by fitting exactly-known cross sections. Numerical results...

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Bibliographic Details
Published in:Journal of applied physics 1984-01, Vol.56 (3), p.713-725
Main Author: VISSCHER, W. M
Format: Article
Language:English
Subjects:
Condensed matter: structure, mechanical and thermal properties
crack propagation
elastic waves
Exact sciences and technology
frequency
Mechanical and acoustical properties of condensed matter
Mechanical and elastic waves, vibrations
mechanical strength
numerical analysis
Physics
surface properties
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Summary:A boundary integral representation of the displacement field is developed and solved for the crack-opening displacement by expressing the latter on the crack surface as an expansion in localized functions, whose parametrization is determined by fitting exactly-known cross sections. Numerical results are presented for scattering of antiplane (SH) waves as a function of frequency from surface-breaking and buried 2D cracks for a variety of crack inclinations and burial depths. The theory and the method apply to the 3D case. Its numerical implementation will be straightforward but tedious.
ISSN:0021-8979
1089-7550
DOI:10.1063/1.333999