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Article
Interaction of a Group of Dislocations within the Framework of the Continuum Frenkel-Kontorova Model
Physical Review B
  • Naum I. Gershenzon, Wright State University - Main Campus
Document Type
Article
Publication Date
11-1-1994
Abstract
The Frenkel-Kontorova (FK) model of edge dislocation is analyzed. Solutions of the continuum limit of the FK model [the sine-Gordon (SG) equation] are obtained in a form convenient for investigation of dynamics of a large number of interacting dislocations. We consider, based on these solutions, some nonstationary processes: dislocation generation, diffusion of dislocations, and crack-dislocation interaction. Simple relations connecting the velocity of plastic deformation, density and velocity of dislocations, and the force of interaction between dislocations are obtained. The nucleation of dislocations at a moving crack tip is described.
Comments

The original publication is available at http://prb.aps.org/abstract/PRB/v50/i18/p13308_1

DOI
10.1103/PhysRevB.50.13308
Citation Information
Naum I. Gershenzon. "Interaction of a Group of Dislocations within the Framework of the Continuum Frenkel-Kontorova Model" Physical Review B Vol. 50 Iss. 18 (1994) p. 13308 - 13314 ISSN: 0163-1829
Available at: http://works.bepress.com/naum_gershenzon/2/