Grinfeld instability as a mechanism of the formation of self-similar structures on aluminum single-crystal foils under cyclic tension

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Abstract

Based on the analysis of our results and data available in the literature, it has been shown that the formation of self-similar tweed structures on (100)[001] aluminum single-crystal foils during constrained cyclic tension occurs under conditions of the Grinfeld instability. This is confirmed by the good agreement between the theoretical estimates obtained for the period of tweed structures in terms of the Grinfeld instability model and the experimentally measured values. It has been demonstrated that the Grinfeld instability manifests itself in different boundary conditions associated with the specific features of the elasto-plastic deformation of a two-layer aluminum foil-specimen system, which is responsible for the self-similarity of tweed structures. It has been assumed that the material redistribution on the surface of foils is due to the migration of point defects that are formed during cyclic tension and exhibit a sufficient mobility at room temperature.

Original languageEnglish
Pages (from-to)2429-2436
Number of pages8
JournalPhysics of the Solid State
Volume54
Issue number12
DOIs
Publication statusPublished - 14 Dec 2012

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Aluminum
Metal foil
foils
Single crystals
aluminum
single crystals
Aluminum foil
Point defects
point defects
plastic deformation
Plastic deformation
Boundary conditions
boundary conditions
room temperature
estimates
Temperature

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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title = "Grinfeld instability as a mechanism of the formation of self-similar structures on aluminum single-crystal foils under cyclic tension",
abstract = "Based on the analysis of our results and data available in the literature, it has been shown that the formation of self-similar tweed structures on (100)[001] aluminum single-crystal foils during constrained cyclic tension occurs under conditions of the Grinfeld instability. This is confirmed by the good agreement between the theoretical estimates obtained for the period of tweed structures in terms of the Grinfeld instability model and the experimentally measured values. It has been demonstrated that the Grinfeld instability manifests itself in different boundary conditions associated with the specific features of the elasto-plastic deformation of a two-layer aluminum foil-specimen system, which is responsible for the self-similarity of tweed structures. It has been assumed that the material redistribution on the surface of foils is due to the migration of point defects that are formed during cyclic tension and exhibit a sufficient mobility at room temperature.",
author = "Kuznetsov, {P. V.} and Tyurin, {Yu I.} and Chernov, {I. P.} and Sigfusson, {T. I.}",
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T1 - Grinfeld instability as a mechanism of the formation of self-similar structures on aluminum single-crystal foils under cyclic tension

AU - Kuznetsov, P. V.

AU - Tyurin, Yu I.

AU - Chernov, I. P.

AU - Sigfusson, T. I.

PY - 2012/12/14

Y1 - 2012/12/14

N2 - Based on the analysis of our results and data available in the literature, it has been shown that the formation of self-similar tweed structures on (100)[001] aluminum single-crystal foils during constrained cyclic tension occurs under conditions of the Grinfeld instability. This is confirmed by the good agreement between the theoretical estimates obtained for the period of tweed structures in terms of the Grinfeld instability model and the experimentally measured values. It has been demonstrated that the Grinfeld instability manifests itself in different boundary conditions associated with the specific features of the elasto-plastic deformation of a two-layer aluminum foil-specimen system, which is responsible for the self-similarity of tweed structures. It has been assumed that the material redistribution on the surface of foils is due to the migration of point defects that are formed during cyclic tension and exhibit a sufficient mobility at room temperature.

AB - Based on the analysis of our results and data available in the literature, it has been shown that the formation of self-similar tweed structures on (100)[001] aluminum single-crystal foils during constrained cyclic tension occurs under conditions of the Grinfeld instability. This is confirmed by the good agreement between the theoretical estimates obtained for the period of tweed structures in terms of the Grinfeld instability model and the experimentally measured values. It has been demonstrated that the Grinfeld instability manifests itself in different boundary conditions associated with the specific features of the elasto-plastic deformation of a two-layer aluminum foil-specimen system, which is responsible for the self-similarity of tweed structures. It has been assumed that the material redistribution on the surface of foils is due to the migration of point defects that are formed during cyclic tension and exhibit a sufficient mobility at room temperature.

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