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Symmetry 2014, 6(2), 368-382; doi:10.3390/sym6020368
Article

Symmetry Perspectives on Some Auxetic Body-Bar Frameworks

1,* , 2
 and
3
1 Department of Chemistry, University of Sheffield, Sheffield S3 7HF, UK 2 Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK 3 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)
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Abstract

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.
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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