Crack-Tip, Stress-Intensity Factors for Plane Extension and Plate Bending Problems

[+] Author and Article Information
G. C. Sih, P. C. Paris, F. Erdogan

Lehigh University, Bethlehem, Pa.

J. Appl. Mech 29(2), 306-312 (Jun 01, 1962) (7 pages) doi:10.1115/1.3640546 History: Received May 16, 1961; Online September 16, 2011


A complex variable method for evaluating the strength of stress singularities at crack tips in plane problems and plate bending problems is derived. The results of these evaluations give Irwin’s stress-intensity factors for plane problems and analogous quantities for bending problems, a form familiar to the practitioner of “fracture mechanics.” The methods derived are integrated with the complex variable approach of Muskhelishvili to obtain the stress-intensity factors for various basic examples applicable to the extension and bending of plates with through-the-thickness cracks. The results suggest the possibility of extension of the Griffith-Irwin fracture theory to arbitrary plane extensional and/or bending problems in plates.

Copyright © 1962 by ASME
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