A system of boundary integral equations is presented which governs the crack-opening displacements for two-crack configurations. The integral equations are highly singular and they cannot be solved directly by numerical methods. By the approach of this paper the higher order singularities are, however, reduced to integrable singularities, and the integral equations are subsequently discretized and solved numerically. For several configurations numerical results have been obtained for scattered fields and for elastodynamic stress intensity factors. The scattered-field results are interpreted to apply for a partially closed crack as well as for two separate but neighboring cracks. The stress-intensity factors are intended to apply only to the case of separate cracks. The scattered-field results have relevance to the problem of detection and characterization of cracks in the field of quantitative nondestructive evaluation.
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March 1988
Research Papers
Scattering by Multiple Crack Configurations
Ch. Zhang,
Ch. Zhang
Department of Civil Engineering, Northwestern University, Evanston, IL 60208
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J. D. Achenbach
J. D. Achenbach
Department of Civil Engineering, Northwestern University, Evanston, IL 60208
Search for other works by this author on:
Ch. Zhang
Department of Civil Engineering, Northwestern University, Evanston, IL 60208
J. D. Achenbach
Department of Civil Engineering, Northwestern University, Evanston, IL 60208
J. Appl. Mech. Mar 1988, 55(1): 104-110 (7 pages)
Published Online: March 1, 1988
Article history
Received:
April 20, 1987
Revised:
August 26, 1987
Online:
July 21, 2009
Citation
Zhang, C., and Achenbach, J. D. (March 1, 1988). "Scattering by Multiple Crack Configurations." ASME. J. Appl. Mech. March 1988; 55(1): 104–110. https://doi.org/10.1115/1.3173614
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