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Multiple scattering of plane harmonic elastic waves in an infinite solid by an arbitrary configuration of obstacles

Published online by Cambridge University Press:  24 October 2008

P. J. Barratt
Affiliation:
University of Strathclyde

Abstract

The multiple scattering of plane harmonic P and S waves in an infinite elastic solid by arbitrary configurations of obstacles is considered. Integral equations relating the far-field multiple scattering amplitudes to the corresponding single scattering functions are obtained and asymptotic solutions are found by an iterative procedure. The scattering of a plane harmonic P wave by two identical rigid spheres is investigated.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Barratt, P. J.J.I.M.A. 4 (1968), 233249.Google Scholar
(2)Twersky, V.J. Mathematical Phys. 3 (1962), 8391.CrossRefGoogle Scholar
(3)Kupradze, V. D.Progress in solid mechanics, vol. III, pp. 4563. (North Holland, 1963).Google Scholar
(4)Barratt, P. J. & Collins, W. D.Proc. Cambridge Philos. Soc. 61 (1965), 969981.CrossRefGoogle Scholar
(5)Noether, F.Theory of functions pp. 170174, edited by Rothe, R., Ollendorff, F. and Pohlhausen, K. (Technology Press, Cambridge, Massachusetts, 1948).Google Scholar
(6)Barratt, P. J. Ph.D. Thesis (1967). University of Strathelyde, Glasgow.Google Scholar
(7)Karp, S. N. and Zitron, N.Research Report EM-126, Inst. Math. Sci. N.Y.U. (1959).Google Scholar
(8)Truell, R. and Ying, C. F.J. Appl. Phys. 17 (1956), 10861097.Google Scholar