2007/11/23 by I. Plans, A. Carpio, L. L. Bonilla
Engineering · Materials Science · Physics and Astronomy · #Disclination #Dislocation #Elasticity (physics) #Electromagnetic Effects on Materials #Enhanced Data Rates for GSM Evolution #Homogeneous #Microstructure and mechanical properties #Nonlinear Photonic Systems #Nucleation #cond-mat.mtrl-sci
paper · pdf · doi:10.1209/0295-5075/81/36001
published as Europhys. Lett. 81, 36001 (2008) · 6 pages, 4 figures, to appear in Europhys. Lett
arxiv created 2007/11/23 · openalex publication_date 2007/12/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A novel analysis of homogeneous nucleation of dislocations in sheared two-dimensional crystals described by periodized-discrete-elasticity models is presented. When the crystal is sheared beyond a critical strain F = F c , the strained dislocation-free state becomes unstable via a subcritical pitchfork bifurcation. Selecting a fixed final applied strain F f > F c , different simultaneously stable stationary configurations containing two or four edge dislocations may be reached by setting F = F f t / t r during different time intervals t r . At a characteristic time after t r , one or two dipoles are nucleated, split, and the resulting two edge dislocations move in opposite directions to the sample boundary. Numerical continuation shows how configurations with different numbers of edge dislocation pairs emerge as bifurcations from the dislocation-free state.