In the present work, by using the exact non-linear equations of an incompressible inviscid fluid contained in a prestressed thick elastic tube, the propagation of localized travelling wave solution in such a medium is investigated. Employing the hyperbolic tangent method and considering the long-wave limit, we showed that the lowest-order term in the perturbation expansion gives a solitary wave equivalent to the localized travelling wave solution of the Korteweg-de Vries equation. The progressive wave type of solution is also sought for the second-order terms in the perturbation expansion. The correction terms in the speed of propagation are obtained as part of the solution of perturbation equations.
Localized travelling waves in a prestressed thick elastic tube
International Journal of Non-Linear Mechanics ; 36 , 7 ; 1085-1095
2001
11 Seiten, 13 Quellen
Article (Journal)
English
A WKB approximation of elastic waves travelling on a shell of revolution
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