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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