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dc.contributor.authorVerstreken, Christophe M
dc.contributor.authorChalut, Kevin
dc.contributor.authorBlumenfeld, Rafi
dc.date.accessioned2018-10-22T06:53:42Z
dc.date.available2018-10-22T06:53:42Z
dc.date.issued2018-08-08
dc.identifier.issn1744-683X
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/284183
dc.description.abstractAuxetic materials, characterised by a negative Poisson's ratio, have properties that are different from most conventional materials. These are a result of the constraints on the kinematics of the material's basic structural components, and have important technological implications. Models of these materials have been studied extensively, but theoretical descriptions have remained largely limited to materials with an ordered microstructure. Here we investigate whether negative Poisson's ratios can arise spontaneously in disordered systems. To this end, we develop a quantitative description of the structure in systems of connected basic elements, which enables us to analyse the local and global responses to small external tensile forces. We find that the Poisson's ratios in these disordered systems are equally likely to be positive or negative on both the element and system scales. Separating the strain into translational, rotational and expansive components, we find that the translational strains of neighbouring basic structural elements are positively correlated, while their rotations are negatively correlated. There is no correlation in this type of system between the local auxeticity and local structural characteristics. Our results suggest that auxeticity is more common in disordered structures than the ubiquity of positive Poisson's ratios in macroscopic materials would suggest.
dc.description.sponsorshipThis work was supported by the Engineering and Physical Sciences Research Council (C. M. V.), and the UK Medical Research Council and Wellcome Trust (K. J. C.).
dc.format.mediumPrint
dc.languageeng
dc.publisherRoyal Society of Chemistry (RSC)
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleEqually probable positive and negative Poisson's ratios in disordered planar systems.
dc.typeArticle
prism.endingPage6560
prism.issueIdentifier31
prism.publicationDate2018
prism.publicationNameSoft Matter
prism.startingPage6554
prism.volume14
dc.identifier.doi10.17863/CAM.31551
dcterms.dateAccepted2018-06-25
rioxxterms.versionofrecord10.1039/c8sm00717a
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2018-08
dc.contributor.orcidChalut, Kevin [0000-0001-6200-9690]
dc.contributor.orcidBlumenfeld, Rafi [0000-0001-7201-2164]
dc.identifier.eissn1744-6848
rioxxterms.typeJournal Article/Review
pubs.funder-project-idMedical Research Council (MC_PC_12009)
cam.issuedOnline2018


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Attribution 4.0 International
Except where otherwise noted, this item's licence is described as Attribution 4.0 International