Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-26T07:40:17.833Z Has data issue: false hasContentIssue false

An exterior problem in elastodynamics

Published online by Cambridge University Press:  24 October 2008

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

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
Copyright
Copyright © Cambridge Philosophical Society 1984

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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), 121142.CrossRefGoogle Scholar
[4] Jones, D. S.. Low-frequency scattering by a body in lubricated contact. Q. Jl. Mech. Appl. Math. 36 (1983), 111138.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), 313332.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), 163178.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