Sanders’ path-independent energy-release-rate integral I for a cracked shallow shell is used to compute the asymptotic form of the combined stress-intensity factor for a pressurized elastically isotropic cylindrical shell containing a longitudinal crack. The combined stress-intensity factor is expressible in terms of the conventional stretching and bending stress-intensity factors and is a function of Poisson’s ratio v and a dimensionless crack length λ. When λ is small the shell is nearly flat and when λ is large the shell is very thin. Asymptotic formulas for I when λ is small or large are obtained. A numerical solution for λ = 0(1) is also obtained.

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