Secular Equations for Rayleigh Waves in 2D Anisotropic Media - Transition from the Implicit to Explicit Representation

0560711 - ÚT 2023 RIV GB eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA19-03282S; GA MŠMT(CZ) EF15_003/0000493
Institucionální podpora: RVO:61388998
Klíčová slova: anisotropic elasticity * Rayleigh waves * displacement formulation * monoclinic material
Obor OECD: Applied mechanics
Impakt faktor: 3.5, rok: 2022
Způsob publikování: Omezený přístup
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.
Trvalý link: https://hdl.handle.net/11104/0334832