The Mathematical Institute, University of Oxford, Eprints Archive

Dislocation motion and instability

Zhu, Y. and Chapman, S. J. and Acharya, A. Dislocation motion and instability. Journal of the Mechanics and Physics of Solids . ISSN 0022-5096 (Submitted)

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Abstract

The Peach-Koehler expression for the stress generated by a single (non-planar) curvilinear dislocation is evaluated to calculate the dislocation self stress. This is combined with a law of motion to give the self-induced motion of a general dislocation curve. A stability analysis of a rectilinear, uniformly translating dislocation is then performed. The dislocation is found to be susceptible to a helical instability, with the maximum growth rate occurring when the dislocation is almost, but not exactly, pure screw. The non-linear evolution of the instability is determined numerically, and implications for slip band formation and non-Schmid behaviour in yielding discussed.

Item Type:Article
Subjects:H - N > Mechanics of deformable solids
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:1692
Deposited By: Jon Chapman
Deposited On:26 Mar 2013 08:38
Last Modified:29 May 2015 19:23

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