2005/03/01 by A. Carpio, L. L. Bonilla · 2 citations
Materials Science · Physics and Astronomy · #Force Microscopy Techniques and Applications #High-Velocity Impact and Material Behavior #Microstructure and mechanical properties #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevb.71.134105
published as Physical Review B 71, 134105 (2005) · 23 pages, 15 figures, to appear in Phys. Rev. B
arxiv created 2005/03/01 · openalex publication_date 2005/04/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A discrete model describing defects in crystal lattices and having the standard linear anisotropic elasticity as its continuum limit is proposed. The main ingredients entering the model are the elastic stiffness constants of the material and a dimensionless periodic function that restores the translation invariance of the crystal and influences the Peierls stress. Explicit expressions are given for crystals with cubic symmetry: sc (simple cubic), fcc, and bcc. Numerical simulations of this model with conservative or damped dynamics illustrate static and moving-edge and screw dislocations, and describe their cores and profiles. Dislocation loops and dipoles are also numerically observed. Cracks can be created and propagated by applying a sufficient load to a dipole formed by two edge dislocations.