000014244 001__ 14244
000014244 005__ 20161115100145.0
000014244 04107 $$aeng
000014244 046__ $$k2016-08-21
000014244 100__ $$aFadodun, Odunayo
000014244 24500 $$aA new time fractional wave propagation in a solid cylinder

000014244 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014244 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014244 506__ $$arestricted
000014244 520__ $$2eng$$aThis study considers radial vibration of transversely-isotropic solid cylinders with a view to model the mechanical diffusive waves propagating in the bodies. The effect of finite deformation is investigated. The problem is described by state equation of motion taking into account the Khalil et al. fractional order derivatives. The obtained time fractional wave equation and its solution generalize some results in literature. It is shown that waves in finite deformation exhibit some additional term even in the absence of time fractional operator. Furthermore, the obtained results degenerate to the classical waves in solid cylinders. Finally, this study reinforces the view that factional derivative helps to apprehend processes in-between diffusion and wave propagation.

000014244 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014244 653__ $$a

000014244 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014244 720__ $$aFadodun, Odunayo
000014244 8560_ $$ffischerc@itam.cas.cz
000014244 8564_ $$s130399$$uhttps://invenio.itam.cas.cz/record/14244/files/PO.SM07-1.04.267.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2253, code PO.SM07-1.04.267
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000014244 962__ $$r13812
000014244 980__ $$aPAPER