Engineering Mechanics

International Conference

Proceedings Vol. 22 (2016)


ENGINEERING MECHANICS 2016

22nd INTERNATIONAL CONFERENCE
May 9 – 12, 2016, Svratka, Czech Republic
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Editors: Igor Zolotarev and Vojtěch Radolf

Copyright © 2016 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-87012-59-8 (printed)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

NUMERICAL SOLUTION OF A SECULAR EQUATION FOR RAYLEIGH WAVES IN A THIN SEMI-INFINITE MEDIUM MADE OF A COMPOSITE MATERIAL
Červ J., Adámek V., Valeš F., Parma S.
pages 133 - 136, full text

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.


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