Numerical solution of a secular equation for rayleigh waves in a thin semi-infinite medium made of a composite material

0461626 - ÚT 2017 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Červ, Jan - Adámek, V. - Valeš, František - Parma, Slavomír
Numerical solution of a secular equation for rayleigh waves in a thin semi-infinite medium made of a composite material.
Engineering Mechanics 2016. Prague: Institute of Thermomechanics CAS, v. v. i., 2016 - (Zolotarev, I.; Radolf, V.), s. 122-125. ISBN 978-80-87012-59-8. ISSN 1805-8248.
[Engeneering Mechanics /22./. Svratka (CZ), 09.05.2016-12.05.2016]
Grant CEP: GA ČR(CZ) GAP101/12/2315; GA TA ČR(CZ) TH01010772
Institucionální podpora: RVO:61388998
Klíčová slova: rayleigh waves * composite material * secular equation
Kód oboru RIV: BI - Akustika a kmity

The traditional way of deriving the secular equation for Rayleigh waves propagating along the stress-free edge of a thin semi-infinite composite is presented. It means that it is necessary to find a general steady-state solution that vanishes at infinity. The secular equation is then obtained by vanishing of the surface traction at the stress-free edge. For the solution of such secular equation it is necessary to precompute some roots of characteristic quartic equation. The method shown in this paper, based on displacement formulation, leads to the so-called implicit secular equation. The numerical approach to the solution is shown.
Trvalý link: http://hdl.handle.net/11104/0261299