Depinning transition of dislocation assemblies: pileup and low-angle grain boundary

Details Depinning transition of dislocation assemblies: pileup and low-angle grain boundary Depinning transition of dislocation assemblies: pileup and low-angle grain boundary

2003-12-16

arxiv.org/abs/cond-mat/0312408v1

Physics

Condensed Matter

Statistical Mechanics

13 pages, 8 figures

Scientific paper

10.1103/PhysRevB.69.214103

We investigate the depinning transition occurring in dislocation assemblies. In particular, we consider the cases of regularly spaced pileups and low angle grain boundaries interacting with a disordered stress landscape provided by solute atoms, or by other immobile dislocations present in non-active slip systems. Using linear elasticity, we compute the stress originated by small deformations of these assemblies and the corresponding energy cost in two and three dimensions. Contrary to the case of isolated dislocation lines, which are usually approximated as elastic strings with an effective line tension, the deformations of a dislocation assembly cannot be described by local elastic interactions with a constant tension or stiffness. A nonlocal elastic kernel results as a consequence of long range interactions between dislocations. In light of this result, we revise statistical depinning theories and find novel results for Zener pinning in grain growth. Finally, we discuss the scaling properties of the dynamics of dislocation assemblies and compare theoretical results with numerical simulations.

Affiliated with

Also associated with

No associations

Rating

Depinning transition of dislocation assemblies: pileup and low-angle grain boundary does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Depinning transition of dislocation assemblies: pileup and low-angle grain boundary, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Depinning transition of dislocation assemblies: pileup and low-angle grain boundary will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-510994