DOI: 10.1121/1.396801. Reflection of elastic waves by a distribution of coplanar cracks

Reflection of elastic waves by a distribution of coplanar cracks

10.1121/1.396801

Crossref journal-article

Acoustical Society of America (ASA)

The Journal of the Acoustical Society of America (231)

Abstract

A method is presented to evaluate quantitatively the reflection of elastic waves by a distribution of coplanar cracks. The method is based on a novel calculation of crack-opening volumes. To compute the crack-opening volume of a specified crack, the effects of neighboring cracks are approximated by the effects of pairs of vector dipoles at the geometrical centers of those cracks. The strengths of the dipoles are proportional to the crack-opening volumes of the neighboring cracks. Thus a crack-opening volume is expressed as a superposition of solutions of two generic problems. One concerns the interaction of the incident wave with a single crack, while the other is concerned with the interaction of a vector dipole with a single crack. For a plane containing a large number of cracks, closed-form expressions have been derived for the reflection and transmission coefficients in terms of the crack-opening volumes. The results have been generalized to statistical distributions of cracks.

Bibliography

Sotiropoulos, D. A., & Achenbach, J. D. (1988). Reflection of elastic waves by a distribution of coplanar cracks. The Journal of the Acoustical Society of America, 84(2), 752â759.

Authors 2

D. A. Sotiropoulos (first)
J. D. Achenbach (additional)

References 0 Referenced 31

None

Dates

Type	When
Created	19 years, 10 months ago (Oct. 13, 2005, 3:23 p.m.)
Deposited	2 years, 1 month ago (July 18, 2023, 3:49 a.m.)
Indexed	2 months ago (June 27, 2025, 8:41 p.m.)
Issued	37 years ago (Aug. 1, 1988)
Published	37 years ago (Aug. 1, 1988)
Published Print	37 years ago (Aug. 1, 1988)

Funders 0

None

BibTeX

@article{Sotiropoulos_1988, title={Reflection of elastic waves by a distribution of coplanar cracks}, volume={84}, ISSN={1520-8524}, url={http://dx.doi.org/10.1121/1.396801}, DOI={10.1121/1.396801}, number={2}, journal={The Journal of the Acoustical Society of America}, publisher={Acoustical Society of America (ASA)}, author={Sotiropoulos, D. A. and Achenbach, J. D.}, year={1988}, month=aug, pages={752–759} }

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