Technical Briefs

A Note on the Path-Dependence of the J-Integral Near a Stationary Crack in an Elastic-Plastic Material With Finite Deformation

[+] Author and Article Information
Dorinamaria Carka

 Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX 78712-0235

Robert M. McMeeking

 Department of Mechanical Engineering and Department of Materials, University of California, Santa Barbara, CA 93106-5070

Chad M. Landis1

 Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX 78712-0235landis@mail.utexas.edu


Corresponding author. Present address: 210 East 24th Street, C0600, Austin, TX 78712-0235.

J. Appl. Mech 79(4), 044502 (May 09, 2012) (2 pages) doi:10.1115/1.4006255 History: Received August 20, 2010; Revised December 14, 2011; Posted March 03, 2012; Published May 09, 2012; Online May 09, 2012

In this technical brief, we compute the J-integral near a crack-tip in an elastic-perfectly-plastic material. Finite deformation is accounted for, and the apparent discrepancies between the prior results of the authors are resolved.

Copyright © 2012 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

The J-integral normalized by its far-field value as a function of the radial distance of the contour from the crack-tip in the undeformed configuration. All results are for elastic-perfectly-plastic materials. (a) With the contour distance normalized by the characteristic size of the plastic zone. (b) With the contour distance normalized by the crack-tip opening displacement.

Grahic Jump Location
Figure 2

The normalized crack-tip opening displacement as a function of the yield strength to Young’s modulus ratio in an elastic-perfectly-plastic material



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