Symmetry detection of auxetic behaviour in 2D frameworks

Symmetry detection of auxetic behaviour in 2D frameworks

A symmetry-extended Maxwell treatment of the net mobility of periodic bar-and-joint frameworks is used to derive a sufficient condition for auxetic behaviour of a 2D material. The type of auxetic behaviour that can be detected by symmetry has Poisson's ratio -1, with equal expansion/contraction...

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Veröffentlicht in:arXiv.org 2013-05
Hauptverfasser: Mitschke, H, Schroeder-Turk, G E, Mecke, K, Fowler, P W, Guest, S D
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Sprache:eng
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Axes of rotation
Physics - Materials Science
Poisson's ratio
Symmetry
Symmetry detection
Two dimensional materials
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Mecke, K
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Guest, S D
description A symmetry-extended Maxwell treatment of the net mobility of periodic bar-and-joint frameworks is used to derive a sufficient condition for auxetic behaviour of a 2D material. The type of auxetic behaviour that can be detected by symmetry has Poisson's ratio -1, with equal expansion/contraction in all directions, and is here termed equiauxetic. A framework may have a symmetry-detectable equiauxetic mechanism if it belongs to a plane group that includes rotational axes of order n = 6, 4, or 3. If the reducible representation for the net mobility contains mechanisms that preserve full rotational symmetry (A modes), these are equiauxetic. In addition, for n = 6, mechanisms that halve rotational symmetry (B modes) are also equiauxetic.
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subjects Axes of rotation
Physics - Materials Science
Poisson's ratio
Symmetry
Symmetry detection
Two dimensional materials
title Symmetry detection of auxetic behaviour in 2D frameworks
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