Secular equations for Rayleigh waves in 2D anisotropic media - Transition from the implicit to explicit representation

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dc.contributor.authorParma, Slavomír
dc.contributor.authorČerv, Jan
dc.contributor.authorAdámek, Vítězslav
dc.contributor.authorPlešek, Jiří
dc.date.accessioned2022-12-05T11:00:17Z
dc.date.available2022-12-05T11:00:17Z
dc.date.issued2022
dc.description.abstract-translatedThe problem of Rayleigh waves polarized in a plane of symmetry of an anisotropic linear elastic medium is investigated in terms of displacements. The implicit secular equation is derived and subsequently rearranged into a system of three polynomial equations, which is convenient for further analysis of the problem. Next, a new straightforward procedure based on Vieta's formulas is developed to reduce the system into a single explicit quartic secular equation. Numerical examples describing both approaches are presented for two monoclinic materials "diopside" and "microcline".en
dc.format23 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationPARMA, S. ČERV, J. ADÁMEK, V. PLEŠEK, J. Secular equations for Rayleigh waves in 2D anisotropic media - Transition from the implicit to explicit representation. International Journal of Applied Mechanics, 2022, roč. 14, č. 6, s. "2250058-1"-"2250058-23". ISSN: 1758-8251cs
dc.identifier.document-number848883400002
dc.identifier.doi10.1142/S1758825122500582
dc.identifier.issn1758-8251
dc.identifier.obd43936778
dc.identifier.uri2-s2.0-85136534666
dc.identifier.urihttp://hdl.handle.net/11025/50528
dc.language.isoenen
dc.publisherWorld Scientificen
dc.relation.ispartofseriesInternational Journal of Applied Mechanicsen
dc.rightsPlný text není přístupný.cs
dc.rights© World Scientificen
dc.rights.accessclosedAccessen
dc.subject.translatedanisotropic elasticityen
dc.subject.translatedRayleigh wavesen
dc.subject.translatedimplicit and explicit secular equationsen
dc.subject.translateddisplacement formulationen
dc.subject.translatedmonoclinic materialen
dc.titleSecular equations for Rayleigh waves in 2D anisotropic media - Transition from the implicit to explicit representationen
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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