J Estimation Method for a Semi-Elliptical Surface Flaw in a Cylinder

[+] Author and Article Information
K. K. Yoon, D. E. Killian

B&W Nuclear Technologies, 3315 Old Forest Road, P.O. Box 10935, Lynchburg, VA 24506-0935

J. Pressure Vessel Technol 117(1), 66-70 (Feb 01, 1995) (5 pages) doi:10.1115/1.2842092 History: Received June 09, 1991; Revised August 09, 1994; Online February 11, 2008


With the emergence of readily available simple J solutions for various types of structures through J estimation techniques, J -integral-based elastic-plastic fracture mechanics has become a common tool for analyzing ductile materials. This paper presents elastic-plastic solutions for semi-elliptical surface flaws of four different crack depths. Solutions are developed from a series of finite element analyses using the ABAQUS computer program with a deformation plasticity material constitutive law. Although the solutions are directly applicable to a single set of Ramberg-Osgood material parameters, they may be extended to include various amounts of strain hardening by a ratioing technique utilizing calibration functions from the EPRI handbook for continuous flaws. This paper addresses cylindrical structures loaded by internal pressure, and excludes any consideration of thermal loadings. Elasticplastic J solutions, determined for pressures up to 5000 psi (12700 Pa), or twice the design pressure, depart from plastic-zone-corrected linear elastic predictions at approximately 3000 psi (7620 Pa) pressure. The h1 plastic calibration functions derived in this paper are limited to the point of greatest crack depth in 6:1 aspect ratio semi-elliptical inside surface flaws in cylindrical pressure vessels.

Copyright © 1995 by The American Society of Mechanical Engineers
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