Asymptotic Evaluation of a Combined Stress-Intensity Factor for a Pressurized Cylindrical Shell Containing a Longitudinal Crack

[+] Author and Article Information
J. W. Nicholson

Department of Applied Mathematics and Computer Science, University of Virginia, Charlottesville, Va. 22901

M. R. Bradley

Planning Systems Incorporated, Slidell, La. 70458

C. K. Carrington

Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, Va. 24061

J. Appl. Mech 47(3), 583-585 (Sep 01, 1980) (3 pages) doi:10.1115/1.3153735 History: Received January 01, 1980; Revised March 01, 1980; Online July 21, 2009


Sanders’ path-independent energy-release-rate integral I for a cracked shallow shell is used to compute the asymptotic form of the combined stress-intensity factor for a pressurized elastically isotropic cylindrical shell containing a longitudinal crack. The combined stress-intensity factor is expressible in terms of the conventional stretching and bending stress-intensity factors and is a function of Poisson’s ratio v and a dimensionless crack length λ. When λ is small the shell is nearly flat and when λ is large the shell is very thin. Asymptotic formulas for I when λ is small or large are obtained. A numerical solution for λ = 0(1) is also obtained.

Copyright © 1980 by ASME
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