Vibrations of inhomogeneous anisotropic viscoelastic bodies described with fractional derivative models

Nerantzaki, MS; Babouskos, NG

dc.contributor.author	Nerantzaki, MS	en
dc.contributor.author	Babouskos, NG	en
dc.date.accessioned	2014-03-01T02:14:53Z
dc.date.available	2014-03-01T02:14:53Z
dc.date.issued	2012	en
dc.identifier.issn	09557997	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30169
dc.subject	Analog Equation Method	en
dc.subject	Anisotropic	en
dc.subject	Boundary Element Method	en
dc.subject	Dynamic analysis	en
dc.subject	Fractional derivatives	en
dc.subject	Inhomogeneous	en
dc.subject	Partial fractional differential equations	en
dc.subject	Viscoelasticity	en
dc.title	Vibrations of inhomogeneous anisotropic viscoelastic bodies described with fractional derivative models	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.enganabound.2012.07.003	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.enganabound.2012.07.003	en
heal.publicationDate	2012	en
heal.abstract	The dynamic response of plane inhomogeneous anisotropic bodies made of linear viscoelastic materials is investigated. The mechanical behavior of the viscoelastic material is described by differential constitutive equations with fractional order derivatives. The governing equations, which are derived by considering the dynamic equilibrium of the plane body element, are two coupled linear fractional evolution partial differential equations in terms of the displacements, whose order is in general greater than two with respect to time derivatives. A method is presented to establish the additional required initial conditions beside the described initial displacements and velocities. Using the Analog Equation Method (AEM) in conjunction with the Domain Boundary Element Method (D/BEM) the governing equations are transformed into a system of multi-term ordinary fractional differential equations (FDEs), which are solved using the numerical method for multi-term FDEs developed recently by Katsikadelis. Numerical examples are presented, which not only demonstrate the efficiency of the solution procedure and validate its accuracy, but also permit a better understanding of the dynamic response of plane bodies described by different viscoelastic models. © 2012 Elsevier Ltd. All rights reserved.	en
heal.journalName	Engineering Analysis with Boundary Elements	en
dc.identifier.doi	10.1016/j.enganabound.2012.07.003	en
dc.identifier.volume	36	en
dc.identifier.issue	12	en
dc.identifier.spage	1894	en
dc.identifier.epage	1907	en