2003/02/28 by A. Carpio, L. L. Bonilla · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Burgers vector #Cauchy stress tensor #Classical mechanics #Condensed matter physics #Dislocation #Dislocation creep #Displacement (psychology) #Distortion (music) #Elasticity (physics) #Enhanced Data Rates for GSM Evolution #Geometry #Limiting #Mathematical analysis #Mathematics #Mechanics #Nonlinear Photonic Systems #Organic and Molecular Conductors Research #Physics #Solid-state spectroscopy and crystallography #Tensor (intrinsic definition) #Vector field #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevlett.90.135502
published as Phys. Rev. Lett. 90, 135502 (2003) · 10 pages, 3 eps figures, Revtex 4. Final version, corrected minor errors
openalex publication_date 2003/04/01 · arxiv created 2003/05/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The static stress needed to depin a 2D edge dislocation, the lower dynamic stress needed to keep it moving, its velocity, and displacement vector profile are calculated from first principles. We use a simplified discrete model whose far field distortion tensor decays algebraically with distance as in the usual elasticity. Dislocation depinning in the strongly overdamped case (including the effect of fluctuations) is analytically described. N parallel edge dislocations whose average interdislocation distance divided by the Burgers vector of a single dislocation is L>>1 can depin a given one if N=O(L). Then a limiting dislocation density can be defined and calculated in simple cases.