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dc.contributor.authorAttard, Daphne-
dc.contributor.authorManicaro, Elaine-
dc.contributor.authorGrima, Joseph N.-
dc.identifier.citationAttard, D., Manicaro, E., & Grima, J. N. (2009). On rotating rigid parallelograms and their potential for exhibiting auxetic behaviour. Physica Status Solidi (b), 246(9), 2033-2044.en_GB
dc.description.abstractAuxetic systems have the anomalous property of becoming wider when uniaxially stretched, i.e. exhibit a negative Poisson's ratio. One of the mechanisms which can give rise to this property is based on rotating rigid units, in particular 2D rigid polygons which are connected together at their corners through hinges and rotate relative to each other when uniaxially stretched. This work extends earlier preliminary work on connected rigid parallelograms and presents expressions for the mechanical properties for all the types of planar systems that can be constructed from rigid parallelograms of equal size connected at their vertices through flexible hinges. In particular, we derive and discuss the mechanical properties for the Type Iα, Iβ and IIβ rotating parallelograms which were not previously analysed and compare them with the properties of the Type IIα systems. We show that despite being rather similar to each other, the different types of ‘rotating parallelograms’ have very different mechanical properties and different abilities to exhibit auxetic behaviour.en_GB
dc.subjectRotational motion (Rigid dynamics)en_GB
dc.subjectMaterials -- Elastic propertiesen_GB
dc.subjectMaterials -- Mechanical propertiesen_GB
dc.titleOn rotating rigid parallelograms and their potential for exhibiting auxetic behaviouren_GB
dc.rights.holderThe copyright of this work belongs to the author(s)/publisher. The rights of this work are as defined by the appropriate Copyright Legislation or as modified by any successive legislation. Users may access this work and can make use of the information contained in accordance with the Copyright Legislation provided that the author must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the prior permission of the copyright holder.en_GB
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Scholarly Works - FacSciMet

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