The boundary integral equation (BIE) method for two-dimensional elastic-plastic stress analysis is applied to an internally pressurized thick-walled cylinder containing a radial crack. Two different types of material are considered, namely, an elastic-perfectly plastic material and a work-hardening material. The loading conditions applied include the case when the internal pressure also acts on the crack faces, and the case when it does not. Results are presented showing the plastic zone development in the cylinder and the variations of the fracture mechanics parameter, the J line integral, with increasing internal pressure.

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Journal The Journal of Strain Analysis for Engineering Design
Tan, C, & Lee, K.H. (1983). Elastic-plastic stress analysis of a cracked thick-walled cylinder. The Journal of Strain Analysis for Engineering Design, 18(4), 253–260. doi:10.1243/03093247V184253