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Asymptotic and finite element analyses of mode III dynamic crack growth at a ductile-brittle interface

Ranjith, K and Narasimhan, R (1986) Asymptotic and finite element analyses of mode III dynamic crack growth at a ductile-brittle interface. In: International Journal of Fracture, 76 (1). pp. 61-77.

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In this work, dynamic crack growth along a ductile-brittle interface under anti-plane strain conditions is studied. The ductile solid is taken to obey the $J_2$ flow theory of plasticity with linear isotropic strain hardening, while the substrate is assumed to exhibit linear elastic behavior. Firstly, the asymptotic near-tip stress and velocity fields are derived. These fields are assumed to be variable-separable with a power singularity in the radial coordinate centered at the crack tip. The effects of crack speed, strain hardening of the ductile phase and mismatch in elastic moduli of the two phases on the singularity exponent and the angular functions are studied. Secondly, full-field finite element analyses of the problem under small-scale yielding conditions are performed. The validity of the asymptotic fields and their range of dominance are determined by comparing them with the results of the full-field finite element analyses. Finally, theoretical predictions are made of the variations of the dynamic fracture toughness with crack velocity. The influence of the bi-material parameters on the above variation is investigated.

Item Type: Journal Article
Publication: International Journal of Fracture
Publisher: Springer Netherlands
Additional Information: At present DOI is not working. The copyright belongs to Springer Netherlands.
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 11 Jun 2006
Last Modified: 19 Sep 2010 04:29
URI: http://eprints.iisc.ac.in/id/eprint/7572

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