High-frequency Rayleigh waves in materials with micro-structure and couple-stress effects

Georgiadis, HG; Velgaki, EG

dc.contributor.author	Georgiadis, HG	en
dc.contributor.author	Velgaki, EG	en
dc.date.accessioned	2014-03-01T01:19:01Z
dc.date.available	2014-03-01T01:19:01Z
dc.date.issued	2003	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15331
dc.subject	Cosserat theory	en
dc.subject	Couple-stresses	en
dc.subject	Elastodynamics	en
dc.subject	Generalized continuum theories	en
dc.subject	Micro-structure	en
dc.subject	Rayleigh waves	en
dc.subject.classification	Mechanics	en
dc.subject.other	Dispersion (waves)	en
dc.subject.other	Frequencies	en
dc.subject.other	Kinetic energy	en
dc.subject.other	Rayleigh scattering	en
dc.subject.other	Stress analysis	en
dc.subject.other	Surface waves	en
dc.subject.other	Discrete particle theory	en
dc.subject.other	Elasticity	en
dc.subject.other	elastodynamics	en
dc.subject.other	microstructure	en
dc.subject.other	Rayleigh wave	en
dc.subject.other	elastodynamics	en
dc.subject.other	microstructure	en
dc.subject.other	Rayleigh wave	en
dc.title	High-frequency Rayleigh waves in materials with micro-structure and couple-stress effects	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0020-7683(03)00054-4	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0020-7683(03)00054-4	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	A well-known deficiency of the classical theory of elasticity is that it does not predict dispersive Rayleigh-wave motions at any frequency. This contradicts experimental data and predictions of the discrete particle theory (atomic-lattice approach) for high frequencies. The present work is intended to explore whether the elastic couple-stress theory with micro-structure can overcome the deficiency of the classical theory. Our analysis shows indeed that Rayleigh waves propagating along the surface of a half-space are dispersive at high frequencies, a result that can be useful in applications of high-frequency surface waves where the wavelength is often of the micron order. Provided that certain relations hold between the various micro-structure 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 means to obtain estimates for micro-structure parameters of the couple-stress theory. Besides the Rayleigh-wave results reported here, basic theoretical results for the kinetic energy and momentum balance laws in micro-structured media with couple-stress effects are derived and presented. (C) 2002 Elsevier Science 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/S0020-7683(03)00054-4	en
dc.identifier.isi	ISI:000182289800010	en
dc.identifier.volume	40	en
dc.identifier.issue	10	en
dc.identifier.spage	2501	en
dc.identifier.epage	2520	en