NUMERICAL SOLUTION OF A SECULAR EQUATION FOR RAYLEIGH WAVES IN A THIN SEMI-INFINITE MEDIUM MADE OF A COMPOSITE MATERIAL


Abstract eng:
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.

Contributors:
Publisher:
Institute of Thermomechanics AS CR, v.v.i., Praha
Conference Title:
Conference Title:
Engineering Mechanics 2016
Conference Venue:
Svratka, CZ
Conference Dates:
2016-05-09 / 2016-05-12
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.



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 Record created 2016-08-16, last modified 2016-08-16


Original version of the author's contribution as presented on CD, id 026, section MIN.:
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