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Scalar decomposition of elastic waves scattered by planar cracks

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

Keywords

  • Displacement Field
  • Scatter Cross Section
  • Scattered Field
  • Crack Face
  • Displacement Discontinuity

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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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© 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