Couple-stress effects for the problem of a crack under concentrated shear loading

Gourgiotis, PA; Georgiadis, HG; Sifnaiou, MD

dc.contributor.author	Gourgiotis, PA	en
dc.contributor.author	Georgiadis, HG	en
dc.contributor.author	Sifnaiou, MD	en
dc.date.accessioned	2014-03-01T02:08:35Z
dc.date.available	2014-03-01T02:08:35Z
dc.date.issued	2012	en
dc.identifier.issn	10812865	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29674
dc.subject	Analytic functions	en
dc.subject	concentrated loads	en
dc.subject	couple stresses	en
dc.subject	cracks	en
dc.subject	energy release rate	en
dc.subject	generalized continua	en
dc.subject	granular media	en
dc.subject	integral transforms	en
dc.subject	micro-mechanics	en
dc.subject	microstructure	en
dc.subject	Wiener-Hopf technique	en
dc.subject.other	Analytic functions	en
dc.subject.other	Concentrated load	en
dc.subject.other	Couple stress	en
dc.subject.other	Generalized continua	en
dc.subject.other	Granular media	en
dc.subject.other	Integral transform	en
dc.subject.other	Wiener-Hopf techniques	en
dc.subject.other	Concentration (process)	en
dc.subject.other	Crack tips	en
dc.subject.other	Cracks	en
dc.subject.other	Elasticity	en
dc.subject.other	Energy release rate	en
dc.subject.other	Functional analysis	en
dc.subject.other	Functions	en
dc.subject.other	Integral equations	en
dc.subject.other	Loads (forces)	en
dc.subject.other	Microstructure	en
dc.subject.other	Shear flow	en
dc.subject.other	Stress analysis	en
dc.subject.other	Loading	en
dc.title	Couple-stress effects for the problem of a crack under concentrated shear loading	en
heal.type	journalArticle	en
heal.identifier.primary	10.1177/1081286511423123	en
heal.identifier.secondary	http://dx.doi.org/10.1177/1081286511423123	en
heal.publicationDate	2012	en
heal.abstract	In this paper, we deal with the plane-strain problem of a semi-infinite crack under concentrated loading in an elastic body exhibiting couple-stress effects. The faces of the crack are subjected to a concentrated shear loading at a distance L from the crack tip. This type of loading is chosen since, in principle, shear effects are more pronounced in couple-stress elasticity. The problem involves two characteristic lengths, that is, the microstructural length ℓ and the distance L between the point of application of the concentrated shear forces and the crack tip. The presence of this second characteristic length introduces certain difficulties in the mathematical analysis of the problem: a non-standard Wiener-Hopf equation arises, one that contains a forcing term with unbounded behaviour at infinity in the transformed plane. Nevertheless, an analytic function method is employed that circumvents the aforementioned difficulty. For comparison purposes, the case of a semi-infinite crack subjected to a distributed shear load is also treated in the present study. Numerical results for the dependence of the stress intensity factor and the energy release rate upon the ratio of the characteristic lengths are presented. © The Author(s) 2011.	en
heal.journalName	Mathematics and Mechanics of Solids	en
dc.identifier.doi	10.1177/1081286511423123	en
dc.identifier.volume	17	en
dc.identifier.issue	5	en
dc.identifier.spage	433	en
dc.identifier.epage	459	en