Stress intensity factors for semi-elliptical surface cracks in pressurised cylinders using the boundary integral equation method

Abstract

Three dimensional linear elastic fracture mechanics analyses of the problem of an internally pressurised thick-walled cylinder with a semi-elliptical surface crack are carried out using the Boundary Integral Equation method. The cases treated are for ratios of external to internal cylinder radii of 2 and 3, with maximum crack depths ranging from 20% to 80% of the wall thickness. For a typical crack, the predicted value of stress intensity factor decreases slightly along the crack front moving away from the point of deepest penetration, reaching a minimum before increasing rapidly as the free internal surface of the cylinder is approached. The results, presented will be of considerable use in the prediction of residual or safe life of, for example, chemical reactor tubes known to be cracked to a certain depth.

Calculation of stress intensity factors for a longitudinal semi‐elliptical crack in a finite‐length thick‐walled cylinder

“…Atluri and Kathiresan 2 determined the stress intensity factors for external and internal pressurized surface cracks in a long cylinder using a three‐dimensional hybrid finite element method. Tan and Fenner 3 analysed an internally pressurized thick‐walled cylinder ( R o / R i = 2 and 3) with a semi‐elliptical crack using the boundary integral equation method. Newman and Raju 4,5 calculated the stress intensity factors for semi‐elliptical surface cracks in cylindrical pressure vessels ( R o / R i = 1.1 and 1.25) by a three‐dimensional finite element method.…”

Cylindrical interface crack in a hollow layered functionally graded cylinder under static torsion

“…The arc-shaped crack problem Li 2013a, 2013b) and cylindrical crack problem (Shi and Zheng 2015) have been studied. Besides, the semi-elliptical shaped crack is also an important issue which have been widely studied (Heliot, Labbens, and Pellissier-Tanon 1979;Tan and Fenner 1980;Shahani and Habibi 2007). We will focus on it in the future by extending the FGM concept to the semi-elliptical shaped crack model.…”

Stress intensity factors for an axially oriented internal crack embedded in a buried pipe

“…Newman and Raju [2] were among the first researchers who presented the stress intensity factors for internal surface cracks in cylindrical pressure vessels and pipes. Almost at the same time, Tan and Fenner [3] used the boundary integral equation method to determine the stress intensity factors for semi-elliptical surface cracks in pressurized cylinders. Since then many other researchers used different numerical techniques like the finite element alternating method [4,5], the line spring model [6,7] or the weight function approach [8e12], and calculated the stress intensity factors of surface cracks in thin or thick pressurized cylinders.…”