Stress Intensity Factor Solutions for Internal Longitudinal Semi-Circular Surface Flaws in a Cylinder Under Arbitrary Loading

[+] Author and Article Information
Y. S. Lee, M. Raymund

Nuclear Energy Systems, Westinghouse Electric Corporation, Pittsburgh, Pa. 15230

J. Pressure Vessel Technol 105(4), 309-315 (Nov 01, 1983) (7 pages) doi:10.1115/1.3264286 History: Received December 08, 1982; Revised June 27, 1983; Online November 05, 2009


The behavior of semi-circular surface flaws in cylinders is of interest in the technology of pressure vessels. The object of this study is to determine the stress intensity factor distribution around the crack front under arbitrary loading conditions for a longitudinal semi-circular flaw with R i /t = 10; where R i is the inside radius of the cylinder, and t is the cylinder thickness. Six crack depths are studied under various loading conditions: a /t = 0.10, 0.25, 0.50, 0.65, 0.80, and 0.90, where a is the circular flaw radius. In general, the finite element method is used to determine the displacement solution. Parks’ stiffness derivative method is used to find the stress intensity factor distribution around the semi-circle. The immediate crack tip geometry is modeled by use of a “macro-element” containing over 1600 degrees of freedom. Four separate loadings are considered: 1) constant, 2) linear, 3) quadratic, and 4) cubic crack surface pressure. From these loadings, nondimensional magnification factors are derived to represent the resulting stress intensity factors. Comparisons are made with other investigators and results agree within 5 percent of published results.

Copyright © 1983 by ASME
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