Stress-Intensity Factors for Arbitrarily Oriented Cracks in Shallow Shells

[+] Author and Article Information
J. G. Simmonds

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

M. R. Bradley

Planning Systems Incorporated, McLean, Va.

J. W. Nicholson

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

J. Appl. Mech 45(1), 135-141 (Mar 01, 1978) (7 pages) doi:10.1115/1.3424215 History: Received July 01, 1977; Online July 12, 2010


The equations describing the stress and strain fields in an elastically isotropic shallow shell containing a crack are reduced, via Fourier transforms, to four coupled singular integral equations plus side conditions. A perturbation solution, useful for relatively short cracks, is constructed for a pressurized shell of revolution containing a stress-free crack that makes an arbitrary angle with a line of curvature of the midsurface. First-order corrections due to curvature and crack orientation of the mode I (opening) and mode II (shearing) stress-intensity factors for a plate are computed analytically.

Copyright © 1978 by ASME
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