This paper presents T-stress solutions for an internal edge crack in thick-walled cylinders. Elastic fracture mechanics analysis using the boundary element method (BEM) is performed to determine the T-stress solutions for a wide range of radius ratios and relative crack lengths. The loading cases considered in the BEM analysis for the cracked cylinder are crack-face pressures with polynomial stress distributions acting on the crack face. T-stress results for the uniform and linearly varying crack-face pressure cases are subsequently used as the reference solutions to derive weight functions for T-stress. Boundary element results of T-stress for other stress distributions, namely, other nonlinear crack face loading, internal pressure, and steady-state thermal loading, are used to validate the derived T-stress weight functions. Excellent agreement between the results from the weight function predictions and those directly computed is shown to be obtained. The weight functions derived are suitable for obtaining T-stress solutions for thick-walled cylinders with an internal edge crack under any complex stress fields. Copyright
Journal of Pressure Vessel Technology, Transactions of the ASME
Department of Mechanical and Aerospace Engineering

Li, J. (Jian), Tan, C, & Wang, X. (2005). Weight functions for T-stress for edge cracks in thick-walled cylinders. Journal of Pressure Vessel Technology, Transactions of the ASME, 127(4), 457–463. doi:10.1115/1.2043198