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Analytical Solutions for Crack Tip Plastic Zone Shape Using the Von Mises and Tresca Yield Criteria: Effects of Crack Mode and Stress Condition

Published online by Cambridge University Press:  05 May 2011

P. H. Jing  and
T. Khraishi
P. H. Jing*
Affiliation:
Mechanical Engineering Department, University of New Mexico, Albuquerque, NM87131, U.S.A.
T. Khraishi*
Affiliation:
Mechanical Engineering Department, University of New Mexico, Albuquerque, NM87131, U.S.A.
*
*Research Assistant
**Assistant Professor
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Abstract

Analytical closed-form solutions for the crack tip plastic zone shape have been derived for a semi-infinite crack in an isotropic elastic-perfectly plastic solid under both plane stress and plane strain conditions. Two yield criteria have been applied: the Von Mises and Tresca yield criteria. The solutions have been developed for crack modes I and III (mode II has been published previously). The results, which favorably compare to a limited number of existing experimental and analytical findings, indicate that the Tresca zone is larger in size than the Von Mises zone. Moreover, an interesting observation is that both zones are generally much larger than the ones predicted by classical Irwin and Dugdale-Barenblatt solutions.

Keywords

Plastic zoneVon Mises and Tresca Yield CriteriaCrack modesStress condition.
Type
Articles
Information
Journal of Mechanics , Volume 20 , Issue 3 , September 2004 , pp. 199 - 210
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2004

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