Home > Conference materials > Papers > Numerical solution of a secular equation for rayleigh waves in a thin semi-infinite medium made of a composite material
Original title:
Numerical solution of a secular equation for rayleigh waves in a thin semi-infinite medium made of a composite material
Authors:
Červ, Jan ; Adámek, V. ; Valeš, František ; Parma, Slavomír Document type: Papers Conference/Event: Engeneering Mechanics /22./, Svratka (CZ), 2016-05-09 / 2016-05-12
Year:
2016
Language:
eng Abstract:
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.
Keywords:
composite material; rayleigh waves; secular equation Project no.: GAP101/12/2315 (CEP), TH01010772 (CEP) Funding provider: GA ČR, GA TA ČR Host item entry: Engineering Mechanics 2016, ISBN 978-80-87012-59-8, ISSN 1805-8248
Institution: Institute of Thermomechanics AS ČR
(web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences. Original record: http://hdl.handle.net/11104/0261299