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Application of Multiple Scattering Theory to Sub-Surface Defects

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Abstract

A recently developed multiple scattering formalism is applied to treat scattering of elastic waves by subsurface defects. In particular, the problem of a spherical cavity near a stress free surface is treated.

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References

  1. For review see J.E. Gubernatis, E. Domany and J.A. Krumhansl, Physical Principles of Non-Destructive Testing, Springer Verlag, D.O. Thompson ed. (to be published).

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  2. E. Domany, K.E. Newman and S. Teitel, Proc. DARPA/AF’WAL Review of Progress in Quantitative NDE, AFWAL-TR-80–4078, p. 341 (1980) V.V. Varadan and V.K. Varadan, ibid., p. 348.

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  3. V.V. Varadan, V.K. Varadan and D.J.N. Wall, Proc. DARPA/AFWAL Review of Progress in Quantitative NDE, AFWAL-TR-81–4080, p. 276 (1981); W.M. Visscher, ibid, p. 287; J.L. Opsal, ibid., p. 292; E. Domany and L. Mizrahi, ibid., p. 305.

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  4. B.R. Tittmann and L. Ahlberg, ibid., p. 311; B.R. Tittmann, E. Domany, K.E. Newman and J. Opsal, to be published.

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  5. For summary of recent work, see Review of Progress in Quantitative NDE 1, ed. D.O. Thompson and D.E. Chimenti, Plenum, (1982), Section V.

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  6. E. Domany and L. Mizrahi, ref. 3; E.Domany, ref. 5, p. 167.

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  7. C.F. Ying and R. Truell, J. Appl. Phys. 27, 1086 (1956).

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  8. See ref. 1, Sec. 4.1.6; and V. Varatharajulu, J. Math. Phys. 18, 537 (1977).

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  9. L.D. Landau and E.M. Lifshitz,Theory of Elasticity, Pergamon Press, (1970).

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© 1984 Plenum Press, New York

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Domany, E., Entin-Wohlman, O. (1984). Application of Multiple Scattering Theory to Sub-Surface Defects. In: Thompson, D.O., Chimenti, D.E. (eds) Review of Progress in Quantitative Nondestructive Evaluation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1194-2_9

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  • DOI: https://doi.org/10.1007/978-1-4684-1194-2_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-1196-6

  • Online ISBN: 978-1-4684-1194-2

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