The Effect of Residual Stresses on the Critical Crack Length Predicted by the Griffith Theory

[+] Author and Article Information
W. E. Jahsman, F. A. Field

Lockheed Aircraft Corporation, Missiles and Space Division, Palo Alto, Calif.

J. Appl. Mech 30(4), 613-616 (Dec 01, 1963) (4 pages) doi:10.1115/1.3636627 History: Received December 21, 1962; Online September 16, 2011


The Griffith theory for unstable crack length is modified to take into account the effect of residual (self-equilibrating) stresses. An expression relating the uniform stress, physical properties of the material, critical crack length, and the equilibrating strain energy is derived for a general stress distribution. This expression is used to develop a criterion for spontaneous cracking due to residual stresses alone. A specific numerical example for a parabolic residual-stress distribution in a glass plate is carried out in some detail.

Copyright © 1963 by ASME
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