Analysis of inhomogeneous anisotropic viscoelastic bodies described by multi-parameter fractional differential constitutive models

Nerantzaki, MS; Babouskos, NG

dc.contributor.author	Nerantzaki, MS	en
dc.contributor.author	Babouskos, NG	en
dc.date.accessioned	2014-03-01T01:35:13Z
dc.date.available	2014-03-01T01:35:13Z
dc.date.issued	2011	en
dc.identifier.issn	0898-1221	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20987
dc.subject	Analog equation method	en
dc.subject	Boundary element method	en
dc.subject	Fractional multi-term viscoelastic models	en
dc.subject	Inhomogeneous anisotropic viscoelasticity	en
dc.subject	Numerical solution	en
dc.subject	Partial fractional differential equations	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Analog equation methods	en
dc.subject.other	Anisotropic viscoelasticity	en
dc.subject.other	Boundary elements	en
dc.subject.other	Fractional differential equations	en
dc.subject.other	Numerical solution	en
dc.subject.other	Viscoelastic models	en
dc.subject.other	Anisotropy	en
dc.subject.other	Beams and girders	en
dc.subject.other	Boundary element method	en
dc.subject.other	Constitutive equations	en
dc.subject.other	Differentiation (calculus)	en
dc.subject.other	Models	en
dc.subject.other	Numerical methods	en
dc.subject.other	Ordinary differential equations	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Viscoelasticity	en
dc.title	Analysis of inhomogeneous anisotropic viscoelastic bodies described by multi-parameter fractional differential constitutive models	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.camwa.2011.05.003	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.camwa.2011.05.003	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	The response to static loads of plane inhomogeneous anisotropic bodies made of linear viscoelastic materials is investigated. Multi-parameter differential viscoelastic constitutive equations are employed, which are generalized using fractional order time derivatives. The governing equations, which are derived by considering the equilibrium of the plane body element, are two coupled linear fractional evolution partial differential equations in terms of the displacement components. Using the Analog Equation Method (AEM) in conjunction with the Boundary Element Method (BEM) these equations are transformed into a system of multi-term ordinary fractional differential equations (FDEs), which are solved using a numerical method for 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 response of plane bodies described by different viscoelastic models. (C) 2011 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Mathematics with Applications	en
dc.identifier.doi	10.1016/j.camwa.2011.05.003	en
dc.identifier.isi	ISI:000294083500012	en
dc.identifier.volume	62	en
dc.identifier.issue	3	en
dc.identifier.spage	945	en
dc.identifier.epage	960	en