Stress intensity factors for circumferential through‐wall cracks in thin‐walled cylindrical shells subjected to tension and torsion

2019 ◽  
Vol 42 (5) ◽  
pp. 1062-1074 ◽  
Author(s):  
Kristen Rege ◽  
Dimitrios G. Pavlou
2017 ◽  
Vol 31 (4) ◽  
pp. 1603-1610 ◽  
Author(s):  
Mohammad Abbaspour Niasani ◽  
Rahmatollah Ghajar ◽  
Hamed Saeidi Googarchin ◽  
Seyed Mohammad Hossein Sharifi

1976 ◽  
Vol 43 (4) ◽  
pp. 657-662 ◽  
Author(s):  
J. G. Simmonds ◽  
M. R. Bradley

A pressurized, shallow, elastically isotropic shell containing a crack is considered. The crack is assumed to lie along a line of curvature of the midsurface. The equations governing the essentially equivalent residual problem, in which the only external load is a uniform normal stress along the faces of the crack, are reduced via Fourier transforms to two coupled singular integral equations. The solutions of these equations depend on three parameters: λ, a dimensionless crack length, κ, the dimensionless Gaussian curvature of the midsurface at the center of the crack, and ν, Poisson’s ratio. Perturbation solutions for small values of λ are obtained by expanding the kernels of the integral equations in series. Explicit formulas for stretching and bending stress-intensity factors are obtained. These represent the first-order corrections due to curvature effects of the well-known flat plate results. The connection with the work of Copley and Sanders for cylindrical shells and Folias for spherical and cylindrical shells is indicated.


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