Families of asymptotic tensile crack tip stress fields in elastic-perfectly plastic single crystals

Patil, Swapnil and Narasimhan, R and Mishra, Raja K (2009) Families of asymptotic tensile crack tip stress fields in elastic-perfectly plastic single crystals. In: International Journal of Fracture, 155 (2). pp. 143-153.

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Abstract

In this work, two families of asymptotic near-tip stress fields are constructed in an elastic-ideally plastic FCC single crystal under mode I plane strain conditions. A crack is taken to lie on the (010) plane and its front is aligned along the [(1) over bar 01] direction. Finite element analysis is first used to systematically examine the stress distributions corresponding to different constraint levels. The general framework developed by Rice (Mech Mater 6:317-335, 1987) and Drugan (J Mech Phys Solids 49:2155-2176, 2001) is then adopted to generate low triaxiality solutions by introducing an elastic sector near the crack tip. The two families of stress fields are parameterized by the normalized opening stress (tau(A)(22)/tau(o)) prevailing in the plastic sector in front of the tip and by the coordinates of a point where elastic unloading commences in stress space. It is found that the angular stress variations obtained from the analytical solutions show good agreement with finite element analysis.

Item Type:	Journal Article
Additional Information:	Copyright of this article belongs to Springer.
Keywords:	Asymptotic analysis;Elastic-plastic crack tip fields;FCC single crystals;Finite elements.
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	19 Jul 2009 08:44
Last Modified:	19 Sep 2010 05:30
URI:	http://eprints.iisc.ernet.in/id/eprint/19889

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