PMID: 22587105May 17, 2012Paper

Defects in crystalline packings of twisted filament bundles. II. Dislocations and grain boundaries

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Amir Azadi, Gregory M Grason

Abstract

Twisted and ropelike assemblies of filamentous molecules are common and vital structural elements in cells and tissues of living organisms. We study the intrinsic frustration occurring in these materials between the two-dimensional organization of filaments in cross section and out-of-plane interfilament twist in bundles. Using nonlinear continuum elasticity theory of columnar materials, we study the favorable coupling of twist-induced stresses to the presence of edge dislocations in the lattice packing of bundles, which leads to a restructuring of the ground-state order of these materials at intermediate twist. The stability of dislocations increases as both the degree of twist and lateral bundle size grow. We show that in ground states of large bundles, multiple dislocations pile up into linear arrays, radial grain boundaries, whose number and length grows with bundle twist, giving rise to a rich class of "polycrystalline" packings.

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Citations

Jun 20, 2012·Proceedings of the National Academy of Sciences of the United States of America·Isaac R Bruss, Gregory M Grason
Jul 24, 2013·Proceedings of the National Academy of Sciences of the United States of America·Gregory M Grason, Benny Davidovitch
Nov 6, 2014·Soft Matter·J YanS Granick
May 17, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Gregory M Grason
Jul 23, 2019·Soft Matter·Lucas Menou, Martin Castelnovo
Aug 31, 2016·Physical Review. E·Amir Azadi, Gregory M Grason
Jun 18, 2017·Physical Review. E·Andreea PanaitescuArshad Kudrolli
Sep 5, 2017·Soft Matter·Zhenwei Yao
Jun 21, 2014·Physical Review Letters·Amir Azadi, Gregory M Grason

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