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A note on the thermoelastic problem for a penny-shaped crack

Published online by Cambridge University Press:  18 May 2009

John Tweed
John Tweed
Affiliation:
University of Glasgow
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1. The problem of determining the state of stress in the vicinity of a penny-shaped crack which is opened by thermal means has been considered by Olesiak and Sneddon [1]. In that paper no simple closed expressions were given either for the stress-intensity factor at the tip of the crack or for the normal component of the surface displacement. The purpose of this note is to show how such expressions may be derived.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 10 , Issue 2 , July 1969 , pp. 169 - 172
Copyright
Copyright © Glasgow Mathematical Journal Trust 1969

References

REFERENCES

1.Olesiak, Z. and Sneddon, I. N., The distribution of thermal stress in an infinite solid containing a penny-shaped crack, Archiv. Rat. Mech. Anal. 4 (1960), 238–254.CrossRefGoogle Scholar
2.Sneddon, I. N., Boundary value problems in thermoelasticity, Proc. Symp. Wisconsin, 1959 (University of Wisconsin Press), 231–241.Google Scholar
3.Sneddon, I. N., The elementary solution of dual integral equations, Proc. Glasgow Math. Assoc. 4 (1960), 108–113.CrossRefGoogle Scholar
4.Sneddon, I. N., A note on the problem of the penny-shaped crack, Proc. Cambridge Philos. Soc. 61 (1965), 609–611.CrossRefGoogle Scholar