About: Implicit and explicit secular equations for Rayleigh waves in two-dimensional anisotropic media

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About: Implicit and explicit secular equations for Rayleigh waves in two-dimensional anisotropic media Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	This paper is concerned with the derivation of implicit and explicit secular equations for Rayleigh waves polarized in a plane of symmetry of an anisotropic linear elastic medium. It has been confirmed, in accord with Ting’s paper [2], that the Rayleigh waves propagate with no geometric dispersion. Numerical evaluations of both the implicit and explicit equations give the same values of Rayleigh wave velocities. In the case of orthotropic material (thin composites) it has been found that Rayleigh wave velocity depends significantly (as with bulk waves) on the directions of principal material axes. For the same material model the analytical solutions, based on implicit and explicit secular equations, were compared against the finite element and experimental data that had been published by Cerv et al. [4] in 2010. It emerged that the theory was in accordance with the experiment. This paper is concerned with the derivation of implicit and explicit secular equations for Rayleigh waves polarized in a plane of symmetry of an anisotropic linear elastic medium. It has been confirmed, in accord with Ting’s paper [2], that the Rayleigh waves propagate with no geometric dispersion. Numerical evaluations of both the implicit and explicit equations give the same values of Rayleigh wave velocities. In the case of orthotropic material (thin composites) it has been found that Rayleigh wave velocity depends significantly (as with bulk waves) on the directions of principal material axes. For the same material model the analytical solutions, based on implicit and explicit secular equations, were compared against the finite element and experimental data that had been published by Cerv et al. [4] in 2010. It emerged that the theory was in accordance with the experiment. (en)
Title	Implicit and explicit secular equations for Rayleigh waves in two-dimensional anisotropic media Implicit and explicit secular equations for Rayleigh waves in two-dimensional anisotropic media (en)
skos:prefLabel	Implicit and explicit secular equations for Rayleigh waves in two-dimensional anisotropic media Implicit and explicit secular equations for Rayleigh waves in two-dimensional anisotropic media (en)
skos:notation	RIV/61388998:_____/13:00396734!RIV14-GA0-61388998
http://linked.open...avai/predkladatel	Ústav termomechaniky AV ČR, v.v.i.
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP101/11/0288)
http://linked.open...iv/cisloPeriodika	7
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Plešek, Jiří Červ, Jan
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav termomechaniky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	79214
http://linked.open...ai/riv/idVysledku	RIV/61388998:_____/13:00396734
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Rayleigh waves; secular equations; anisotropic materials; composites (en)
http://linked.open.../riv/klicoveSlovo	Rayleigh waves anisotropic materials secular equations composites
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[2C0038CA74FC]
http://linked.open...i/riv/nazevZdroje	Wave Motion
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Design of intelligent composite structures
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	50
http://linked.open...iv/tvurceVysledku	Plešek, Jiří Červ, Jan
http://linked.open...ain/vavai/riv/wos	000325835900005
issn	0165-2125
number of pages	13 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.wavemoti.2013.04.011

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