Computational Mechanics ’86 pp 39-48 | Cite as

# Some Problems of Shearing and Twisting of Shallow Spherical Shells

## Summary and Introduction

The present account has four separate purposes. The first of these is a concise rederivation of some results for two problems of stress concentration in shallow spherical shells due to the effect of a circular hole, or rigid insert. Aside from their numerical significance these results have a special analytical significance for shell theory, for the following reason. They involve the asymptotic analysis of shell problems for which the interior solution contribution is not either of the membrane type or of the inextensional bending type, but is such that a far-field membrane solution goes into a near-field inextensional bending solution, or vice versa, with a transition region in which membrane stresses and bending stresses are of the same order of magnitude. Of particular interest is that this kind of interior solution complexity is associated with stress concentrations which are an order of magnitude higher than analogous concentrations which are encountered for related problems with interior solution contributions which are of the membrane type, or of the inextensional bending type, throughout.

## Keywords

Spherical Shell Stress Couple Stress Concentration Factor Shallow Shell Edge Zone## Preview

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## References

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