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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F22%3A00560711" target="_blank" >RIV/61388998:_____/22:00560711 - isvavai.cz</a>
Alternative codes found
RIV/49777513:23520/22:43965778
Result on the web
<a href="https://www.worldscientific.com/doi/10.1142/S1758825122500582" target="_blank" >https://www.worldscientific.com/doi/10.1142/S1758825122500582</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S1758825122500582" target="_blank" >10.1142/S1758825122500582</a>

Result language
angličtina
Original language name
Secular Equations for Rayleigh Waves in 2D Anisotropic Media - Transition from the Implicit to Explicit Representation
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20302 - Applied mechanics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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