Theory of Interacting Dislocations on Cylinders

DSpace/Manakin Repository

Theory of Interacting Dislocations on Cylinders

Citable link to this page

 

 
Title: Theory of Interacting Dislocations on Cylinders
Author: Amir, Ariel; Paulose, Jayson; Nelson, David R.

Note: Order does not necessarily reflect citation order of authors.

Citation: Amir, Ariel, Jayson Paulose, and David R. Nelson. 2013. "Theory of Interacting Dislocations on Cylinders." Physical Review E 87 (4): 042314.
Full Text & Related Files:
Abstract: We study the mechanics and statistical physics of dislocations interacting on cylinders, motivated by the elongation of rod-shaped bacterial cell walls and cylindrical assemblies of colloidal particles subject to external stresses. The interaction energy and forces between dislocations are solved analytically, and analyzed asymptotically. The results of continuum elastic theory agree well with numerical simulations on finite lattices even for relatively small systems. Isolated dislocations on a cylinder act like grain boundaries. With colloidal crystals in mind, we show that saddle points are created by a Peach-Koehler force on the dislocations in the circumferential direction, causing dislocation pairs to unbind. The thermal nucleation rate of dislocation unbinding is calculated, for an arbitrary mobility tensor and external stress, including the case of a twist-induced Peach-Koehler force along the cylinder axis. Surprisingly rich phenomena arise for dislocations on cylinders, despite their vanishing Gaussian curvature.
Published Version: doi:10.1103/PhysRevE.87.042314
Other Sources: http://arxiv.org/pdf/1301.4226v1.pdf
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:13457874
Downloads of this work:

Show full Dublin Core record

This item appears in the following Collection(s)

 
 

Search DASH


Advanced Search
 
 

Submitters