Title:	Secular equations for Rayleigh waves in 2D anisotropic media - Transition from the implicit to explicit representation
Authors:	Parma, Slavomír Červ, Jan Adámek, Vítězslav Plešek, Jiří
Citation:	PARMA, 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: 1758-8251
Issue Date:	2022
Publisher:	World Scientific
Document type:	článek article
URI:	2-s2.0-85136534666 http://hdl.handle.net/11025/50528
ISSN:	1758-8251
Keywords in different language:	anisotropic elasticity;Rayleigh waves;implicit and explicit secular equations;displacement formulation;monoclinic material
Abstract in different language:	The 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".
Rights:	Plný text není přístupný. © World Scientific
Appears in Collections:	Články / Articles (NTIS) OBD

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