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Radiation from a Transducer into an Elastic Half-space

  • G. W. Owen
  • I. D. Abrahams
Conference paper
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 91)

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References

  1. Abrahams, I. D. (1996). Radiation and scattering of waves on an elastic halfspace; a non-commutative matrix Wiener-Hopf problem. J. Mech. Phys. Solids, 44(12):2125–2154.MathSciNetGoogle Scholar
  2. Abrahams, I. D. (1997). On the solution of Wiener-Hopf problems involving non-commutative matrix kernel decompositions. SIAM J. Appl. Math., 57(2):541–567.CrossRefzbMATHMathSciNetGoogle Scholar
  3. Abramowitz and Stegun (1965). Handbook of Mathematical Functions. Dover Publications.Google Scholar
  4. Baker, G. A. and Graves-Morris, P. (1996). Padé Approximants. Cambridge University Press, second edition.Google Scholar
  5. Gould, P. J. (1994). Introduction to Linear Elasticity. Springer-Verlag.Google Scholar
  6. Khrapkov, A. A. (1971). Certain cases of the elastic equilibrium of an infinite wedge with a non-symmetric notch at the vertex, subject to concentrated forces. Appl. Math. Mech, 35:625–637.zbMATHGoogle Scholar
  7. Noble, B. (1988). Methods Based on the Wiener-Hopf Technique. Chelsea.Google Scholar
  8. Owen, G. W. and Abrahams, I. D. (2000). Elastic waves from a high frequency transducer. Proc. Roy. Soc., (To be submitted).Google Scholar

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • G. W. Owen
    • 1
  • I. D. Abrahams
    • 1
  1. 1.Department of MathematicsUniversity of ManchesterUK

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