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Note on a penny-shaped crack under shear

Published online by Cambridge University Press:  24 October 2008

C. M. Segedin
C. M. Segedin
Affiliation:
Pembroke CollegeCambridge
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Extract

Sack (3) and Sneddon (4) have considered the problem of a penny-shaped crack in an infinite medium under tension normal to the face of the crack. The same problem has been considered more recently by Green (1) by a different method. In this note we consider the case of the same shaped crack with the medium subjected to a uniform shearing stress parallel to the plane of the crack. It is found that the solution is analogous to that of the corresponding two-dimensional problem considered by Starr (5).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 2 , April 1951 , pp. 396 - 400
Copyright
Copyright © Cambridge Philosophical Society 1951

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References

REFERENCES

(1)Green, A. E.Proc. Cambridge Phil. Soc. 45 (1949), 251.CrossRefGoogle Scholar
(2)Love, A. E. H.Quart. J. Math. 10 (1939), 161.CrossRefGoogle Scholar
(3)Sack, R.Proc. Phys. Soc. London, 58 (1946), 229.CrossRefGoogle Scholar
(4)Sneddon, I. N.Proc. Roy. Soc. A, 187 (1946), 729.Google Scholar
(5)Starr, A. L.Proc. Cambridge Phil. Soc. 24 (1928), 489.CrossRefGoogle Scholar