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A finite element analysis of mode III quasi-static crack growth at a ductile-brittle interface

Omprakash, S and Narasimhan, R (1996) A finite element analysis of mode III quasi-static crack growth at a ductile-brittle interface. In: Transactions of the ASME: Journal of Applied Mechanics, 63 (1). pp. 204-209.

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Abstract

Steady-state quasi-static crack growth along a bimaterial interface is analyzed under Mode III, small-scale yielding conditions using finite element procedure. The interface is formed by an elastic-plastic material and an elastic substrate. The top elastic-plastic material is assumed to obey the J2 incremental theory of plasticity. It undergoes isotropic hardening with either a bilinear uniaxial response or a power-law response. The results obtained from the full-field numerical analysis compare very well with the analytical asymptotic results obtained by Castaneda and Maraga (1991), which forms one of the first studies on this subject. The validity of the separable form for the asymptotic solution assumed in their analysis is investigated. The range of dominance of the asymptotic fields is examined. Field variations are obtained for a power-law hardening elastic-plastic material. It is seen that the stresses are lower for a stiffer substrate. The potential of the bimaterial system to sustain slow stable crack growth along the interface is studied. It is found that the above potential is larger if the elastic substrate is more rigid with respect to the elastic-plastic material.

Item Type: Journal Article
Publication: Transactions of the ASME: Journal of Applied Mechanics
Publisher: American Society of Mechanical Engineers(ASME)
Additional Information: Copyright of this article belongs to American Society of Mechanical Engineers(ASME).
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 01 Jul 2008
Last Modified: 19 Sep 2010 04:37
URI: http://eprints.iisc.ac.in/id/eprint/10836

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