Abstract
The study relates to the strength of a cracked shell. Linear thin shell theory is employed to obtain solutions for internal pressure and uniform circumferential bending. A shallow shell approximation is used, and shown valid providing crack length and shell thickness are small enough in comparison with shell radius. Initial formulation as a boundary value problem is shown equivalent to two coupled singular integral equations. These were solved numerically using a computer. Stresses are found to display singularities as inverse square-root of distance from a crack tip, as with the flat plate. The main results are graphs of normal and bending stress singularity strengths against a curvature/crack-length dimensionless parameter.
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