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Symmetry 2014, 6(2), 368-382;

Symmetry Perspectives on Some Auxetic Body-Bar Frameworks

Department of Chemistry, University of Sheffield, Sheffield S3 7HF, UK
Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK
Department of Structural Mechanics, Budapest University of Technology and Economics, Műegyetem rkp. 3, Budapest H-1521, Hungary
Author to whom correspondence should be addressed.
Received: 15 January 2014 / Revised: 15 April 2014 / Accepted: 4 May 2014 / Published: 15 May 2014
(This article belongs to the Special Issue Rigidity and Symmetry)
View Full-Text   |   Download PDF [290 KB, uploaded 15 May 2014]


Scalar mobility counting rules and their symmetry extensions are reviewed for finite frameworks and also for infinite periodic frameworks of the bar-and-joint, body-joint and body-bar types. A recently published symmetry criterion for the existence of equiauxetic character of an infinite framework is applied to two long known but apparently little studied hinged-hexagon frameworks, and is shown to detect auxetic behaviour in both. In contrast, for double-link frameworks based on triangular and square tessellations, other affine deformations can mix with the isotropic expansion mode. View Full-Text
Keywords: auxetic; mobility; mechanism; state of self-stress auxetic; mobility; mechanism; state of self-stress
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Fowler, P.W.; Guest, S.D.; Tarnai, T. Symmetry Perspectives on Some Auxetic Body-Bar Frameworks. Symmetry 2014, 6, 368-382.

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