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Interaction of a group of dislocations within the framework of the continuum Frenkel-Kontorova model

Physical Review B, ISSN: 0163-1829, Vol: 50, Issue: 18, Page: 13308-13314
1994
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Article Description

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. © 1994 The American Physical Society.

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