Dispersive Rayleigh-wave propagation in microstructured solids characterized by dipolar gradient elasticity

Georgiadis, HG; Vardoulakis, I; Velgaki, EG

dc.contributor.author	Georgiadis, HG	en
dc.contributor.author	Vardoulakis, I	en
dc.contributor.author	Velgaki, EG	en
dc.date.accessioned	2014-03-01T01:20:16Z
dc.date.available	2014-03-01T01:20:16Z
dc.date.issued	2004	en
dc.identifier.issn	0374-3535	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15871
dc.subject	Dipolar stresses	en
dc.subject	Dispersion	en
dc.subject	Gradient elasticity	en
dc.subject	Laplace transforms	en
dc.subject	Microstructure	en
dc.subject	Rayleigh waves	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Mechanics	en
dc.subject.other	Dispersion (waves)	en
dc.subject.other	Elasticity	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Microstructure	en
dc.subject.other	Rayleigh scattering	en
dc.subject.other	Stresses	en
dc.subject.other	Wave effects	en
dc.subject.other	Wave propagation	en
dc.subject.other	Dipolar stresses	en
dc.subject.other	Gradient elasticity	en
dc.subject.other	Rayleigh waves	en
dc.subject.other	Surface waves	en
dc.title	Dispersive Rayleigh-wave propagation in microstructured solids characterized by dipolar gradient elasticity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/B:ELAS.0000026094.95688.c5	en
heal.identifier.secondary	http://dx.doi.org/10.1023/B:ELAS.0000026094.95688.c5	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	It is well known that the classical theory of elasticity predicts Rayleigh-wave motions, which are not dispersive at any frequency. Of course, at high frequencies, this is a result that contradicts experimental data and also does not agree with results of the discrete particle theory (atomic-lattice approach). To remedy this shortcoming, the Mindlin - Green - Rivlin theory of dipolar gradient elasticity is employed here to analyze waves of the Rayleigh type propagating along the surface of a half-space. The analysis shows that these waves are indeed dispersive at high frequencies, a result that can be useful in applications of high-frequency surface waves, where the wavelength is often on the micron order. Provided that certain relations hold between the various microstructure parameters entering the theory employed here, the dispersion curves of these waves have the same form as that given by previous analyses based on the atomic-lattice theory. In this way, the present analysis gives also means to obtain estimates for microstructure parameters of the gradient theory.	en
heal.publisher	KLUWER ACADEMIC PUBL	en
heal.journalName	Journal of Elasticity	en
dc.identifier.doi	10.1023/B:ELAS.0000026094.95688.c5	en
dc.identifier.isi	ISI:000221120400002	en
dc.identifier.volume	74	en
dc.identifier.issue	1	en
dc.identifier.spage	17	en
dc.identifier.epage	45	en