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Singularities and Constructive Methods for Their Treatment pp 166–180Cite as

Scalar decomposition of elastic waves scattered by planar cracks

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1121))

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References

  1. J.E. Gubernatis, E. Domany and J.A. Krumhansl, “Formal aspects of the theory of the scattering of ultrasound by flaws in elastic materials”, Journal of Applied Physics, Vol. 48, pp. 2804–2811, 1977.

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  2. B. Budiansky and J.R. Rice, “An integral equation for dynamic elastic response of an isolated 3-D crack”, Wave Motion, Vol. 1, pp. 187–191, 1979.

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  3. V.D. Kupradze, “Dynamical problems in elasticity”, in Progress in Solid Mechanics, Vol. 3, Ed. I.N. Sneddon and R. Hill, North-Holland, Amsterdam, 1963.

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  4. J.D. Achenbach, Wave Propagation in Elastic Solids, North-Holland, Amsterdam, 1973.

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  5. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, Dover, New York, 1965.

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  6. P.J. Barratt and M.D. Collins, “The scattering cross section of an obstacle in an elastic solid for plane harmonic waves”, Proceedings of the Cambridge Philosophical Society, Vol.61, pp. 969–981, 1965.

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Author information

Authors and Affiliations

  1. Risø National Laboratory, Roskilde, Denmark

    Steen Krenk

Authors
  1. Steen Krenk
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Pierre Grisvard Wolfgang L. Wendland John R. Whiteman

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© 1985 Springer-Verlag

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Krenk, S. (1985). Scalar decomposition of elastic waves scattered by planar cracks. In: Grisvard, P., Wendland, W.L., Whiteman, J.R. (eds) Singularities and Constructive Methods for Their Treatment. Lecture Notes in Mathematics, vol 1121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076270

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  • DOI: https://doi.org/10.1007/BFb0076270

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15219-4

  • Online ISBN: 978-3-540-39377-1

  • eBook Packages: Springer Book Archive

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