A Modified Strain-Energy Density Criterion Applied to Crack Propagation

[+] Author and Article Information
P. S. Theocaris, N. P. Andrianopoulos

Department of Theoretical and Applied Mechanics, The National Technical University of Athens, Zographou, Athens 624, Greece

J. Appl. Mech 49(1), 81-86 (Mar 01, 1982) (6 pages) doi:10.1115/1.3162075 History: Received April 01, 1981; Revised July 01, 1981; Online July 21, 2009


An exact solution is presented to the problem of the crack-initiation direction by applying the minimum strain-energy density criterion in the case of a slant crack loaded uniaxially. The exact expressions of stresses, obtained from Muskhelishvili’s complex functions, are used in evaluating strain energy. Although the position of direction of the minimum density (ϑm ) was accepted as the probable direction of the next kink of a propagating crack, the mean value of the strain-energy density is also introduced, instead of its minimum value, in the role of the critical quantity for crack initiation. Interesting results were derived for the behavior of this quantity concerning the phenomenon of bifurcation. The ratio of the mean-energy densities above and below the expected path of propagation is introduced as a second factor influencing the exact value of angle ϑm of propagation.

Copyright © 1982 by ASME
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