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Finite auxetic deformations of plane tessellations

Mitschke, Holger; Robins, Vanessa; Mecke, Klaus; Schroder-Turk, G.E.


We systematically analyse the mechanical deformation behaviour, in particular Poisson's ratio, of floppy barand-joint frameworks based on periodic tessellations of the plane. For frameworks with more than one deformation mode, crystallographic symmetry constraints or minimization of an angular vertex energy functional are used to lift this ambiguity. Our analysis allows for systematic searches for auxetic mechanisms in archives of tessellations; applied to the class of one- or two-uniform...[Show more]

CollectionsANU Research Publications
Date published: 2013
Type: Journal article
Source: Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences
DOI: 10.1098/rspa.2012.0465


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