Abstract
The time domain Born approximation for ultrasonic scattering from volume flaws in an elastic medium is described. Results are given both for the direct and the inverse problem. The time domain picture leads to simple intuitive formulas, which we illustrate by means of several simple examples. Particular emphasis is given to the front surface echo and its use in reconstructing the properties of the flaw.
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J. E. Gubernatis, E. Domany, J. A. Krumhansl, and M. Huberman, Material Science Center, Cornell University, Technical Report 2654 (1975); and J. E. Gubernatis, E. Domany, and J. A. Krumhansl,J. Appl. Phys. 48:2804 (1977).
A. K. Mal and L. Knopoff,J. Inst. Math. Appl. 3:376 (1967).
J. H. Rose and J. A. Krumhansl,J. Appl. Phys. 50:2951 (1979).
J. M. Richardson and J. H. Rose, to be published.
J. M. Richardson, inProc. Ultrasonics Symposium, J. deKlerk and B. R. McAvoy, eds. (1979), p. 356.
R. K. Elsley and R. C. Addison, inProc. DARPA/AMFL, Review of Progress in Quantitative NDE, 6th Annual Report, in press.
J. H. Rose, V. V. Varadan, V. K. Varadan, R. K. Elsley, and B. R. Tittmann,Acoustics Electromagnetic and Elastic Wave Scattering-Focused on the T-Matrix Approach, V. K. Varadan and V. V. Varadan, eds. (Pergamon Press, Elmsford, N.Y., 1980).
J. M. Richardson, to be published.
J. M. Richardson and R. K. Elsley, Extraction of low frequency properties from scattering measurement, inProc. 1979 IEEE Ultrasonics Symposium, 79CH1482-9, pp. 336–341.
C. F. Ying and R. Truell,J. Appl. Phys. 27, 1086 (1956).
J. M. Richardson and R. K. Elsley, Semi-adaptive approach to the extraction of low-frequency properties from scattering measurements, inProc. 1980 IEEE Ultrasonic Symposium, 80CH1602-2, pp. 847–851.
B. D. Cook, S. Wilson, and R. L. McKinney, inProc. DARPA/AMFL Review of Progress in Quantitative NDE, 6th Annual Report, in press.
E. N. Kennaugh and D. L. Moffat,Proc. IEEE 53:893 (1965).
B. D. Cook, private communication.
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Rose, J.H., Richardson, J.M. Time domain Born approximation. J Nondestruct Eval 3, 45–53 (1982). https://doi.org/10.1007/BF00566954
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DOI: https://doi.org/10.1007/BF00566954