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Some two-dimensional punch and crack problems in classical elasticity

Published online by Cambridge University Press:  24 October 2008

A. H. England  and
A. E. Green
A. H. England
Affiliation:
King's College, Newcastle-upon-Tyne
A. E. Green
Affiliation:
King's College, Newcastle-upon-Tyne
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Abstract

General methods for solving two-dimensional punch and crack problems in classical elasticity have been developed by Muskhelishvili and others. An alternative method for solving such problems is presented here. Use is made of suitable integral representations of the complex potentials and each problem is reduced to the solution of an Abel or Fredholm type of integral equation.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 59 , Issue 2 , April 1963 , pp. 489 - 500
Copyright
Copyright © Cambridge Philosophical Society 1963

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References

REFERENCES

(1)Muskhelishvili, N. I., Some basic problems in the mathematical theory of elasticity, 3rd. edn. (Noordhoff; Groningen, 1953).Google Scholar
(2)Green, A. E., and Zerna, W., Theoretical elasticity (Oxford, 1954).Google Scholar
(3)Collins, W. D., Proc. Roy. Soc. London, Ser. A, 266 (1962), 359.Google Scholar
(4)Koiter, W. T., Ing. -Arch. 28 (1959), 168.CrossRefGoogle Scholar
(5)Koiter, W. T., Problems of continuum mechanics, pp. 246–259 (Soc. Industr. Appl. Math.; Philadelphia, 1961).Google Scholar
(6)Shtaerman, I. YA., The contact problems of the theory of elasticity (in Russian) (Moscow-Leningrad, 1949).Google Scholar
(7)Erdélyi, A. et al. , Higher transcendental functions, vol. 1 (McGraw-Hill; New York, 1953).Google Scholar
(8)Woods, L. C., The theory of subsonic plane flow (Cambridge, 1961).Google Scholar