期刊
INTERNATIONAL JOURNAL OF PLASTICITY
卷 46, 期 -, 页码 94-129出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijplas.2013.02.011
关键词
Dislocations; Dynamics; Microstructures; Correlation functions; Self-similar
资金
- Basic Energy Sciences (BES) program of DOE [DE-FG02-07ER46393]
- National Center for Supercomputing Applications [MSS090037]
- U.S. Department of Energy (DOE) [DE-FG02-07ER46393] Funding Source: U.S. Department of Energy (DOE)
- Office of Advanced Cyberinfrastructure (OAC)
- Direct For Computer & Info Scie & Enginr [0910735] Funding Source: National Science Foundation
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. (C) 2013 Elsevier Ltd. All rights reserved.
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