An easy implementation of displacement calculations in 3D discrete dislocation dynamics codes

Abstract

Barnett’s coordinate-free expression of the displacement field of a triangular loop in an isotropic media is revisited in a view to be implemented in 3D discrete dislocation dynamics codes. A general meshing procedure solving the problems of non-planar loops is presented. The method is user-friendly and can be used in numerical simulations since it gives the contribution of each dislocation segment to the global displacement field without defining the connectivity of closed loops. Easy to implement in parallel calculations, this method is successfully applied to large-scale simulations.

Keywords:

• dislocation dynamics
• dislocation theory
• numerical modelling
• numerical simulation
• plasticity of crystals