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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
Received: 15 January 2014; in revised form: 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 which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

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

AMA Style

Fowler PW, Guest SD, Tarnai T. Symmetry Perspectives on Some Auxetic Body-Bar Frameworks. Symmetry. 2014; 6(2):368-382.

Chicago/Turabian Style

Fowler, Patrick W.; Guest, Simon D.; Tarnai, Tibor. 2014. "Symmetry Perspectives on Some Auxetic Body-Bar Frameworks." Symmetry 6, no. 2: 368-382.


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