Chirality in isotropic linear gradient elasticity

Papanicolopulos, S-A

dc.contributor.author	Papanicolopulos, S-A	en
dc.date.accessioned	2014-03-01T01:35:23Z
dc.date.available	2014-03-01T01:35:23Z
dc.date.issued	2011	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21029
dc.subject	Chirality	en
dc.subject	Gradient elasticity	en
dc.subject	Isotropy	en
dc.subject	Microstructure	en
dc.subject	Torsion	en
dc.subject.classification	Mechanics	en
dc.subject.other	Cosserat	en
dc.subject.other	Cosserat elasticity	en
dc.subject.other	Gradient elasticity	en
dc.subject.other	Isotropy	en
dc.subject.other	Linear gradients	en
dc.subject.other	Material models	en
dc.subject.other	Three-dimensional deformations	en
dc.subject.other	Torsion	en
dc.subject.other	Chirality	en
dc.subject.other	Continuum mechanics	en
dc.subject.other	Elastohydrodynamics	en
dc.subject.other	Enantiomers	en
dc.subject.other	Microstructure	en
dc.subject.other	Stereochemistry	en
dc.subject.other	Torsional stress	en
dc.subject.other	Elasticity	en
dc.title	Chirality in isotropic linear gradient elasticity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijsolstr.2010.11.007	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijsolstr.2010.11.007	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	Chirality is, generally speaking, the property of an object that can be classified as left- or right-handed. Though it plays an important role in many branches of science, chirality is encountered less often in continuum mechanics, so most classical material models do not account for it. In the context of elasticity, for example, classical elasticity is not chiral, leading different authors to use Cosserat elasticity to allow modelling of chiral behaviour. Gradient elasticity can also model chiral behaviour, however this has received much less attention than its Cosserat counterpart. This paper shows how in the case of isotropic linear gradient elasticity a single additional parameter can be introduced that describes chiral behaviour. This additional parameter, directly linked to three-dimensional deformation, can be either negative or positive, with its sign indicating a discrimination between the two opposite directions of torsion. Two simple examples are presented to show the practical effects of the chiral behaviour. (C) 2010 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Solids and Structures	en
dc.identifier.doi	10.1016/j.ijsolstr.2010.11.007	en
dc.identifier.isi	ISI:000287555300011	en
dc.identifier.volume	48	en
dc.identifier.issue	5	en
dc.identifier.spage	745	en
dc.identifier.epage	752	en