Interaction of a Group of Dislocations within the Framework of the Continuum Frenkel-Kontorova Model

Authors

Naum I. Gershenzon, Wright State University - Main CampusFollow

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

Repository Citation

Gershenzon, N. I. (1994). Interaction of a Group of Dislocations within the Framework of the Continuum Frenkel-Kontorova Model. Physical Review B, 50 (18), 13308-13314.
https://corescholar.libraries.wright.edu/physics/196

DOI

10.1103/PhysRevB.50.13308