The dislocation core in crystalline materials

The Peierls—Nabarro Model of Dislocations: A Venerable Theory and its Current Development

“…x is the area assigned to each atomic row (the length of all dislocation lines is 1 Å). The corresponding components of the applied stress interacting with the ρ (1) i , ρ (2) i , and ρ (3) i , are τ (1) = σ 21 , τ (2) = σ 22 and τ (3) = σ 23 , respectively. K , K e , and K s are the prelogarithmic energy factors defined earlier.…”

“…Here, ρ (1) i , ρ (2) i , and ρ (3) i are the edge, vertical and screw components of the general dislocation density at the ith nodal point and γ 3 (AE i ) is the three-dimensional GSF energy surface. x is the area assigned to each atomic row (the length of all dislocation lines is 1 Å).…”

Generalized-stacking-fault energy surface and dislocation properties of aluminum

“…The corresponding components of the applied stress interacting with the i (1) , i (2) , and i (3) , are (1) …”

“…The dislocation half width , defined as the atomic distance over which f a changes from 1 4 b to 3 4 b ͑definition I͒, can be determined from Fig. 5.…”

“…There has been a great deal of interest in describing accurately the dislocation core structure on an atomic scale because of its important role in many phenomena of crystal plasticity. 1,2 The core properties control, for instance, the mobility of dislocations, which accounts for the intrinsic ductility or brittleness of solids. The core is also important for the interaction of dislocations at close distances, which are relevant to plastic deformation.…”