Elastic-Plastic and Fully Plastic Analysis of Crack Initiation, Stable Growth, and Instability in Flawed Cylinders

TL;DRAbstract

In this paper a procedure has been developed for examining crack initiation, stable growth, and instability in flawed cylinders. Elastic and fully plastic solutions are presented for cylinders containing axial and circumferential cracks located at the inner surface. In the case of an axial crack the loading is due to internal pressure and a plane-strain analysis is carried out. The circumferentially cracked cylinder is loaded by remote uniform tension and is treated as an axisymmetric problem. The solutions are based on the deformation theory of plasticity and employ a special incompressible finite-element method. Solutions cover a broad range of values for the wall thickness to radius ratio, crack length to wall thickness ratio a/b, and strain-hardening exponent n. The relevant crack parameters such as the J-integral, crack mouth opening displacement, and load-point displacement are suitably normalized and tabulated. Accuracy of the elastic solutions is assessed by a comparison with a

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