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Secular Equations for Rayleigh Waves in 2D Anisotropic Media - Transition from the Implicit to Explicit Representation
- 1.0560711 - ÚT 2023 RIV GB eng J - Journal Article
Parma, Slavomír - Červ, Jan - Adámek, V. - Plešek, Jiří
Secular Equations for Rayleigh Waves in 2D Anisotropic Media - Transition from the Implicit to Explicit Representation.
International Journal of Applied Mechanics. Roč. 14, č. 6 (2022), č. článku 2250058. ISSN 1758-8251. E-ISSN 1758-826X
R&D Projects: GA ČR(CZ) GA19-03282S; GA MŠMT(CZ) EF15_003/0000493
Institutional support: RVO:61388998
Keywords : anisotropic elasticity * Rayleigh waves * displacement formulation * monoclinic material
OECD category: Applied mechanics
Impact factor: 3.5, year: 2022
Method of publishing: Limited access
https://www.worldscientific.com/doi/10.1142/S1758825122500582
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.
Permanent Link: https://hdl.handle.net/11104/0334832
Number of the records: 1