SH Surface Waves in a Homogeneous Gradient-Elastic Half-Space with Surface Energy

Vardoulakis, I; Georgiadis, HG

dc.contributor.author	Vardoulakis, I	en
dc.contributor.author	Georgiadis, HG	en
dc.date.accessioned	2014-03-01T01:13:20Z
dc.date.available	2014-03-01T01:13:20Z
dc.date.issued	1997	en
dc.identifier.issn	0374-3535	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12434
dc.subject	Dispersion	en
dc.subject	Gradient elasticity	en
dc.subject	Integral transforms	en
dc.subject	Microstructure	en
dc.subject	SH motions	en
dc.subject	Surface waves	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Mechanics	en
dc.subject.other	Continuum mechanics	en
dc.subject.other	Elasticity	en
dc.subject.other	Interfacial energy	en
dc.subject.other	Mathematical models	en
dc.subject.other	Surfaces	en
dc.subject.other	Gradient elasticity	en
dc.subject.other	Homogeneous gradient elastic half space	en
dc.subject.other	Integral transforms	en
dc.subject.other	Surface waves	en
dc.title	SH Surface Waves in a Homogeneous Gradient-Elastic Half-Space with Surface Energy	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1007433510623	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1007433510623	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	The existence of SH surface waves in a half-space of homogeneous material (i.e. anti-plane shear wave motions which decay exponentially with the distance from the free surface) is shown to be possible within the framework of the generalized linear continuum theory of gradient elasticity with surface energy. As is well-known such waves cannot be predicted by the classical theory of linear elasticity for a homogeneous half-space, although there is experimental evidence supporting their existence. Indeed, this is a drawback of the classical theory which is only circumvented by modelling the half-space as a layered structure (Love waves) or as having non-homogeneous material properties. On the contrary, the present study reveals that SH surface waves may exist in a homogeneous half-space if the problem is analyzed by a continuum theory with appropriate microstructure. This theory, which was recently introduced by Vardoulakis and co-workers, assumes a strain-energy density expression containing, besides the classical terms, volume strain-gradient and surface-energy gradient terms.	en
heal.publisher	KLUWER ACADEMIC PUBL	en
heal.journalName	Journal of Elasticity	en
dc.identifier.doi	10.1023/A:1007433510623	en
dc.identifier.isi	ISI:A1997YG80900004	en
dc.identifier.volume	47	en
dc.identifier.issue	2	en
dc.identifier.spage	147	en
dc.identifier.epage	165	en