Stress-Intensity Factors for an Internal Semi-Elliptical Surface Crack in Cylindrical Pressure Vessels

Abstract

In this paper, the surface crack problem in a cylinder subjected to internal pressure is solved. The analysis is based on the body force method, but it is different from the conventional body force method in the following point. That is, the body forces to be distributed continuously on the assumed boundaries in an infinite body are approximated by some discrete point forces acting on the outside of the assumed boundaries. By using this method combined with the resultant force boundary conditions, solutions with high accuracy are obtained.

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

“…They discussed different kinds of stress distribution on the crack surfaces in their papers. Chen et al 6 . solved the surface crack problem in a cylinder ( R o / R i = 1.1) subjected to internal pressure using the body force method.…”

“…They discussed different kinds of stress distribution on the crack surfaces in their papers. Chen et al 6 solved the surface crack problem in a cylinder (R o /R i = 1.1) subjected to internal pressure using the body force method. A hybrid boundary element method was used by Guozhong et al 7,8 for calculation of the stress intensity factors of surface cracks in finite thickness plates and cylinders (R o /R i = 1.5, 2 and 3).…”

Boundary element analysis on interaction of external surface crack and embedded crack in a pressurized cylinder

“…One of the most important problems in fatigue and fracture analysis of a pressure vessel is to determine the stress intensity factor (SIF) of the three-dimensional crack. For a single surface crack, many analyses have been reported: Nishioka and Atluri (1982) alternating method; Kumar et al (1985) line-spring method; McGowan and Raymund (1979) and Newman and Raju (Newman and Raju, 1980;Raju and Newman, 1982) finite element method; Heliot et al (1979) boundary element method and Chen et al (1989) body force method. For a single embedded crack in a cylindrical pressure vessel, no numerical solutions have been reported except for this author's (Guozhong et al, 1995a) result of boundary element method.…”