Interaction of a Group of Dislocations within the Framework of the Continuum Frenkel-Kontorova ModelPhysical Review B
AbstractThe 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.
Citation InformationNaum 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/