Dislocation Burgers vector and the Peach–Koehler force: a review

Different definitions of the Burgers vector and the corresponding construction of the Burgers circuit for dislocation loops and straight dislocations, created by the displacement discontinuity imposed across different surface cuts are reviewed. This is used as a geometric background for the derivati...

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Bibliographic Details
Main Author: Vlado A. Lubarda
Format: Article
Language:English
Published: Elsevier 2019-01-01
Series:Journal of Materials Research and Technology
Online Access:http://www.sciencedirect.com/science/article/pii/S2238785418304551
Description
Summary:Different definitions of the Burgers vector and the corresponding construction of the Burgers circuit for dislocation loops and straight dislocations, created by the displacement discontinuity imposed across different surface cuts are reviewed. This is used as a geometric background for the derivation and discussion of the Peach–Koehler expression for the energetic force exerted on a dislocation by different sources of stress. Three approaches were used and compared: (i) the classical virtual work approach of Peach and Koehler, extended to include the changes in size and shape of the dislocation loop; (ii) the potential energy approach which allows the incorporation of the effects of image stresses; and (iii) the approach based on the evaluation of the J-integral. The glide and climb components of the dislocation force are determined and discussed for continuum and lattice dislocations. Keywords: Burgers circuit, Burgers vector, Climb force, Dislocation loop, Glide force, Image stress, J integral, Osmotic force, Peach–Koehler force, Potential energy, Virtual work
ISSN:2238-7854