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An exterior problem in elastodynamics

Published online by Cambridge University Press:  24 October 2008

D. S Jones
D. S Jones
Affiliation:
Department of Mathematical Sciences, The University, Dundee, DD1 4HN
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Abstract

A modified kernel is devised which avoids the irregular values which plague the natural integral equations for the exterior problems of harmonic elastic waves in a homogeneous isotropic medium.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 96 , Issue 1 , July 1984 , pp. 173 - 182
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

[1] Colton, D. and Kress, R.. Integral Equation Methods in Scattering Theory (Wiley, 1983).Google Scholar
[2] Eringen, A. C. and Sububi, E. S.. Elastodynamics, vol. II (Academic Press, 1975).Google Scholar
[3] Jones, D. S.. A uniqueness theorem in elastodynamics. Q. Jl. Mech. app. Math. 37 (1984), 121–142.CrossRefGoogle Scholar
[4] Jones, D. S.. Low-frequency scattering by a body in lubricated contact. Q. Jl. Mech. Appl. Math. 36 (1983), 111–138.CrossRefGoogle Scholar
[5] Kleinman, R. E. and Roach, G. F.. On modified Green's functions in exterior problems for the Helmholtz equation. Proc. Roy. Soc. London Ser. A 383 (1982), 313–332.Google Scholar
[6] Kleinman, R. E. and Roach, G. F.. Operators of minimal norm via modified Green's functions. Proc. Roy. Soc. Edin. 94 A (1983), 163–178.Google Scholar
[7] Kupradze, V. D.. Dynamical problems in elasticity. In Progress in Solid Mechanics, vol. III (ed. Sneddon, I. N. and Hill, R.), (North-Holland, 1963).Google Scholar