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Some elastostatic and potential problems for an elliptic disc

Published online by Cambridge University Press:  24 October 2008

L. J. Walpole
L. J. Walpole
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Extract

We consider some elastostatic and related potential problems in which an unbounded uniform medium contains a plane elliptic disc as an inhomogeneity. Various appropriate conditions on the disc and at infinity are specified. These problems have many physical applications. In the elastostatic case the disc can be a crack or rigid inclusion, for example. The potential problems include the classical one of finding the electrostatic field around an elliptic disc charged to a given potential.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 1 , January 1970 , pp. 225 - 235
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Townsend, R.Quart. J. Math. Oxford Ser. 16 (1879), 140–151.Google Scholar
(2)Dyson, F. W.Quart. J. Math. Oxford Ser. 25 (1891), 259–288.Google Scholar
(3)Hobson, E. W.Proc. London Math. Soc. 27 (1896), 519–544.Google Scholar
(4)Routh, E. J.Analytical statics, vol. II, 2nd Edition (Cambridge University Press, 1902).Google Scholar
(5)Galin, L. A.Contact problems in the theory of elasticity (Gostekizdat; Moscow, 1953).Google Scholar
(6)Sneddon, I. N.Mixed boundary value problems in potential theory (North-Holland; Amsterdam, 1966).Google Scholar
(7)Love, A. E. H.Mathematical theory of elasticity, 4th edition (Cambridge University Press, 1927).Google Scholar
(8)Eshelby, J. D.Proc. Roy. Soc. Ser. A 241 (1957), 376–396.Google Scholar
(9)Eshelby, J. D.Progress in solid mechanics, Edited by Sneddon, I. N. and Hill, R., vol. II, 89–140 (North-Holland; Amsterdam, 1961).Google Scholar
(10)Kassir, M. K. and Sih, G. C.J. Appl. Mech. 33 (1966), 601–611.Google Scholar
(11)Kassir, M. K. and Sih, G. C.Int. J. Solids Struct. 4 (1968), 225–241.Google Scholar
(12)Kassir, M. K. and Sih, G. C.J. Math. Mech. 16 (1967), 927–948.Google Scholar
(13)Segedin, C. M.Internal. J. Engrg Sci. 6 (1968), 309–312.Google Scholar
(14)Willis, J. R.Internat. J. Engrg Sci. 6 (1968), 253–263.Google Scholar
(15)Walpole, L. J.Proc. Roy. Soc. Ser. A 300 (1967), 270–289.Google Scholar
(16)Green, A. E. and Sneddon, I. N.Proc. Cambridge Philos. Soc. 46 (1950), 159–164.Google Scholar
(17)Walpole, L. J.J. Mech. Phys. Solids 14 (1966), 289–301.CrossRefGoogle Scholar
(18)Kassir, M. K. and Sih, G. C.Internat. J. Engrg Sci. 5 (1967), 899–918.Google Scholar