Abnormal grain growth mediated by fractal boundary migration at the nanoscale

Abnormal grain growth mediated by fractal boundary migration at the nanoscale

Abstract Modern engineered materials are composed of space-filling grains or domains separated by a network of interfaces or boundaries. Such polycrystalline microstructures have the capacity to coarsen through boundary migration. Grain growth theories account for the topology of grains and the conn...

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Autores principales: Christian Braun, Jules M. Dake, Carl E. Krill, Rainer Birringer
Formato: article
Lenguaje:EN
Publicado: Nature Portfolio 2018
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Acceso en línea:https://doaj.org/article/28e5f55897c546a29ee41325689eb774
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spelling oai:doaj.org-article:28e5f55897c546a29ee41325689eb7742021-12-02T15:09:09ZAbnormal grain growth mediated by fractal boundary migration at the nanoscale10.1038/s41598-018-19588-42045-2322https://doaj.org/article/28e5f55897c546a29ee41325689eb7742018-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-19588-4https://doaj.org/toc/2045-2322Abstract Modern engineered materials are composed of space-filling grains or domains separated by a network of interfaces or boundaries. Such polycrystalline microstructures have the capacity to coarsen through boundary migration. Grain growth theories account for the topology of grains and the connectivity of the boundary network in terms of the familiar Euclidian dimension and Euler’s polyhedral formula, both of which are based on integer numbers. However, we recently discovered an unusual growth mode in a nanocrystalline Pd-Au alloy, in which grains develop complex, highly convoluted surface morphologies that are best described by a fractional dimension of ∼1.2 (extracted from the perimeters of grain cross sections). This fractal value is characteristic of a variety of domain growth scenarios—including explosive percolation, watersheds of random landscapes, and the migration of domain walls in a random field of pinning centers—which suggests that fractal grain boundary migration could be a manifestation of the same universal behavior.Christian BraunJules M. DakeCarl E. KrillRainer BirringerNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-6 (2018)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Christian Braun
Jules M. Dake
Carl E. Krill
Rainer Birringer
Abnormal grain growth mediated by fractal boundary migration at the nanoscale
description Abstract Modern engineered materials are composed of space-filling grains or domains separated by a network of interfaces or boundaries. Such polycrystalline microstructures have the capacity to coarsen through boundary migration. Grain growth theories account for the topology of grains and the connectivity of the boundary network in terms of the familiar Euclidian dimension and Euler’s polyhedral formula, both of which are based on integer numbers. However, we recently discovered an unusual growth mode in a nanocrystalline Pd-Au alloy, in which grains develop complex, highly convoluted surface morphologies that are best described by a fractional dimension of ∼1.2 (extracted from the perimeters of grain cross sections). This fractal value is characteristic of a variety of domain growth scenarios—including explosive percolation, watersheds of random landscapes, and the migration of domain walls in a random field of pinning centers—which suggests that fractal grain boundary migration could be a manifestation of the same universal behavior.
format article
author Christian Braun
Jules M. Dake
Carl E. Krill
Rainer Birringer
author_facet Christian Braun
Jules M. Dake
Carl E. Krill
Rainer Birringer
author_sort Christian Braun
title Abnormal grain growth mediated by fractal boundary migration at the nanoscale
title_short Abnormal grain growth mediated by fractal boundary migration at the nanoscale
title_full Abnormal grain growth mediated by fractal boundary migration at the nanoscale
title_fullStr Abnormal grain growth mediated by fractal boundary migration at the nanoscale
title_full_unstemmed Abnormal grain growth mediated by fractal boundary migration at the nanoscale
title_sort abnormal grain growth mediated by fractal boundary migration at the nanoscale
publisher Nature Portfolio
publishDate 2018
url https://doaj.org/article/28e5f55897c546a29ee41325689eb774
work_keys_str_mv AT christianbraun abnormalgraingrowthmediatedbyfractalboundarymigrationatthenanoscale
AT julesmdake abnormalgraingrowthmediatedbyfractalboundarymigrationatthenanoscale
AT carlekrill abnormalgraingrowthmediatedbyfractalboundarymigrationatthenanoscale
AT rainerbirringer abnormalgraingrowthmediatedbyfractalboundarymigrationatthenanoscale
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