Abstract
A numerical technique for obtaining interface reflection coefficients for imperfect bonds between similar materials for a wide range of distributed defects is developed. A numerical boundary element method is utilized to find the far-field scattering amplitudes of a single defect for a normally incident plane wave. Then, the normal incidence reflection coefficient for a planar distribution of such defects is obtained from the independent scattering model. As a validation, the reflection coefficients are compared to the quasi-static model results where the latter are available. This establishes the basis for one application of the new model, the determination of spring constants which are not available. Other applications of the model, including studies of the response at frequencies beyond the quasi-static limit, the ratio of longitudinal to transverse wave reflectivities, and the effects of selected multiple scattering are discussed.
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J.-M. Baik and R. B. Thompson, Ultrasonic scattering from imperfect interfaces: A quasi-static model,J. Nondestr. Eval. 4177–196 (1984).
J. H. Rose, Ultrasonic reflectivity of diffusion bonds, inReview of Progress in Quantitative Nondestructive Evaluation, D. O. Thompson and D. E. Chimenti, eds. (Plenum Press, New York, 1989), Vol. 8B, pp. 1925–1931.
F. J. Margetan, R. B. Thompson, and T. A. Gray, Interfacial spring model for ultrasonic interactions with imperfect interfaces: Theory of oblique incidence and application to diffusion bonded butt joints,J. Nondestr. Eval. 7131–152 (1988).
F. J. Margetan, R. B. Thompson, T. A. Gray, and J. H. Rose, Experimental studies pertaining to the interaction of ultrasound with metal-metal bonds, inReview of Progress in Quantitative Nondestructive Evaluation, D. O. Thompson and D. E. Chimenti, eds. (Plenum Press, New York, 1990), Vol. 9B, pp. 1323–1330.
J. H. Rose, private communication.
P. B. Nagy and L. Adler, Reflection of ultrasonic waves at imperfect boundaries, inReview of Progress in Quantitative Nondestructive Evaluation, D. O. Thompson and D. E. Chimenti, eds. (Plenum Press, New York, 1991), Vol. 10A, pp. 177–184.
P. J. Schafbuch, R. B. Thompson, and F. J. Rizzo, Application of boundary element method to elastic wave scattering by irregular defects,J. Nondestr. Eval. 9113–127 (1991).
C. F. Ying and R. Truell, Scattering of a plane longitudinal wave by a spherical obstacle in an isotropically elastic solid,J. Appl. Phys. 271086–1097 (1956).
P. J. Schafbuch, F. J. Rizzo, and R. B. Thompson, Boundary element method solutions for elastic wave scattering in 3D,Int. J. Num. Meth. Engr. (in press).
G. Krishnasamy, F. J. Rizzo, and Y. Liu, Scattering of acoustic and elastic waves by cracklike objects: The role of hypersingular integrals, inReview of Progress in Quantitative Nondestructive Evaluation D. O. Thompson and D. E. Chimenti, eds. (Plenum Press, New York, 1992), Vol. 11A, pp. 25–32.
P. J. Schafbuch, F. J. Rizzo, and R. B. Thompson, Elastic wave scattering by multiple inclusions, inEnhancing Analysis Techniques for Composite Materials, L. Schwer, J. N. Reddy, and A. Mal, eds. (ASME Publication NDE-Vol. 10, ASME, New York, 1991), pp. 103–111.
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Yalda-Mooshabad, I., Margetan, F.J., Gray, T.A. et al. Reflection of ultrasonic waves from imperfect interfaces: A combined boundary element method and independent scattering model approach. J Nondestruct Eval 11, 141–149 (1992). https://doi.org/10.1007/BF00566405
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DOI: https://doi.org/10.1007/BF00566405