Dislocation motion and instability

Journal article

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 behavior in yielding are discussed. © 2013 Elsevier Ltd. All rights reserved.

Authors: Zhu, Y; Chapman, S; Acharya, A

• Publication status: Published
• Journal: JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
• Volume: 61
• Issue: 8
• Pages: 1835-1853
• Publication date: 2013-08-01
• DOI: 10.1016/j.jmps.2013.03.002
• ISSN: 0022-5096
• Keywords: Mobility law; Self-induced motion; Peach-Koehler; Slip band; Non-associated flow