Hostname: page-component-7f64f4797f-zzvtc Total loading time: 0 Render date: 2025-11-04T00:01:41.520Z Has data issue: false hasContentIssue false
  • English
  • Français

Crack-like imperfections in a spherical shell†

Published online by Cambridge University Press:  18 May 2009

G. C. Sih  and
P. S. Dobreff
G. C. Sih
Affiliation:
Lehigh University, Bethlehem, Pennsylvania
P. S. Dobreff
Affiliation:
Lehigh University, Bethlehem, Pennsylvania
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In structures having high strength-to-weight ratios such as those used in aerospace applications, the presence of mechanical imperfections can reduce the capability of the structure to perform as intended. Thus, it becomes essential to account for the localized intensification of the stresses around through or surface cracks, which might trigger fracture under applied loads. This type of study is currently receiving great research emphasis.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 12 , Issue 1 , April 1971 , pp. 65 - 88
Copyright
Copyright © Glasgow Mathematical Journal Trust 1971

References

REFERENCES

1.Sih, G. C. and Liebowitz, H., Mathematical theories of brittle fracture, Mathematical fundamentals of fracture, Vol. 2, Academic Press (New York, 1968), 67–190.Google Scholar
2.Ang, D. D., Folias, E. S. and Williams, M. L., The bending stress in a cracked plate on an elastic foundation, J. Appl. Mech. 30 (1963), 245–251.CrossRefGoogle Scholar
3.Sih, G. C. and Setzer, D. E., Discussion of “The bending stress in a cracked plate on an elastic foundation”, J. Appl. Mech. 31 (1964), 365–367.Google Scholar
4.Folias, E. S., The stresses in a cracked spherical shell, J. Math, and Phys. 44 (1965), 164–176.CrossRefGoogle Scholar
5.Knowles, J. K. and Wang, N. M., On the bending of an elastic plate containing a crack, J. Math, and Phys. 39 (1960), 223–236.CrossRefGoogle Scholar
6.Reissner, E., On some problems in shell theory, Structural mechanics, Proceedings of the First Symposium on Naval Structural Mechanics (1958), 74–113.Google Scholar
7.Sneddon, I. N., Fourier transforms, McGraw-Hill (New York, 1951), 71–82.Google Scholar
8.Sih, G. C., Flexural problems of cracks in mixed media, Proceedings of the First International Conference on Fracture, 1 (1965), 391–409.Google Scholar
9.Watson, G. N., Theory of Bessel functions, Cambridge University Press (London, 1958).Google Scholar
10.Courant, R. and Hilbert, D., Methods of mathematical physics, Vol. 1, Interscience (New York 1953).Google Scholar
11.Williams, M. L., The bending stress distribution at the base of a stationary crack, J. Appl. Mech. 28 (1961), 78–82.CrossRefGoogle Scholar
12.Hartranft, R. J. and Sih, G. C., Effect of plate thickness on the bending stress distribution around through cracks, J. Math, and Phys. 47 (1968), 276–291.CrossRefGoogle Scholar