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Dislocation motion and instability

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.

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Publisher:
Elsevier


UUID:
uuid:e8a34089-f872-431f-9b4a-4f463f31ca96
Local pid:
oai:eprints.maths.ox.ac.uk:1692
Deposit date:
2013-03-27
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