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Scaling theory of continuum dislocation dynamics in three dimensions: Self-organized fractal pattern formation

Cornell Affiliated Author(s)

Author

Y.S. Chen
W. Choi
S. Papanikolaou
M. Bierbaum
J.P. Sethna

Abstract

We focus on mesoscopic dislocation patterning via a continuum dislocation dynamics theory (CDD) in three dimensions (3D). We study three distinct physically motivated dynamics which consistently lead to fractal formation in 3D with rather similar morphologies, and therefore we suggest that this is a general feature of the 3D collective behavior of geometrically necessary dislocation (GND) ensembles. The striking self-similar features are measured in terms of correlation functions of physical observables, such as the GND density, the plastic distortion, and the crystalline orientation. Remarkably, all these correlation functions exhibit spatial power-law behaviors, sharing a single underlying universal critical exponent for each type of dynamics. © 2012 Elsevier Ltd.All rights reserved.

Date Published

Journal

International Journal of Plasticity

Volume

46

Number of Pages

94-129,

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84876948216&doi=10.1016%2fj.ijplas.2013.02.011&partnerID=40&md5=9b2b7ec71df0c2c0651a731f8b4d7075

DOI

10.1016/j.ijplas.2013.02.011

Research Area

Group (Lab)

James Sethna Group

Funding Source

0910735
DE-FG02-07ER46393
MSS090037

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