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A unified approach to the solution of four crack problems in plane elastostatics

Published online by Cambridge University Press:  24 October 2008

M. P. Stallybrass
M. P. Stallybrass
Affiliation:
Georgia Institute of Technology, Atlanta, Georgia 30332
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Abstract

Four crack problems are considered in classical two-dimensional elastostatics. Each problem is equivalent to a mixed boundary-value problem for a quarter-plane. A governing functional relation of the Wiener–Hopf type is obtained for each problem by the application of various Mellin transforms. It is shown that values for the stress intensity factor, and the crack energy, in corresponding ‘interior’ arid ‘exterior’ problems are identical for certain distributions of crack pressure.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 70 , Issue 1 , July 1971 , pp. 175 - 189
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

REFERENCES

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