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)


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  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

Personalised recommendations