Stress-free states of continuum dislocation fields: Rotations, grain boundaries, and the Nye dislocation density tensor

Details Stress-free states of continuum dislocation fields: Rotations, grain boundaries, and the Nye dislocation density tensor Stress-free states of continuum dislocation fields: Rotations, grain boundaries, and the Nye dislocation density tensor

2006-10-18

arxiv.org/abs/cond-mat/0610492v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 3 figures

Scientific paper

10.1103/PhysRevB.75.224121

We derive general relations between grain boundaries, rotational deformations, and stress-free states for the mesoscale continuum Nye dislocation density tensor. Dislocations generally are associated with long-range stress fields. We provide the general form for dislocation density fields whose stress fields vanish. We explain that a grain boundary (a dislocation wall satisfying Frank's formula) has vanishing stress in the continuum limit. We show that the general stress-free state can be written explicitly as a (perhaps continuous) superposition of flat Frank walls. We show that the stress-free states are also naturally interpreted as configurations generated by a general spatially-dependent rotational deformation. Finally, we propose a least-squares definition for the spatially-dependent rotation field of a general (stressful) dislocation density field.

Affiliated with

Also associated with

No associations

Rating

Stress-free states of continuum dislocation fields: Rotations, grain boundaries, and the Nye dislocation density tensor 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 Stress-free states of continuum dislocation fields: Rotations, grain boundaries, and the Nye dislocation density tensor, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stress-free states of continuum dislocation fields: Rotations, grain boundaries, and the Nye dislocation density tensor will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-99248