Non-local continuum mechanics and fractional calculus

Lazopoulos, KA

dc.contributor.author	Lazopoulos, KA	en
dc.date.accessioned	2014-03-01T01:24:46Z
dc.date.available	2014-03-01T01:24:46Z
dc.date.issued	2006	en
dc.identifier.issn	0093-6413	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17418
dc.subject	Coexistence of phases	en
dc.subject	Elasticity	en
dc.subject	Fractional calculus	en
dc.subject	Non-local strain energy density	en
dc.subject.classification	Mechanics	en
dc.subject.other	Differentiation (calculus)	en
dc.subject.other	Elasticity	en
dc.subject.other	One dimensional	en
dc.subject.other	Strain	en
dc.subject.other	Stress analysis	en
dc.subject.other	Coexistence of phases	en
dc.subject.other	Elastic model	en
dc.subject.other	Fractional calculus	en
dc.subject.other	Non-local strain energy density	en
dc.subject.other	Continuum mechanics	en
dc.title	Non-local continuum mechanics and fractional calculus	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.mechrescom.2006.05.001	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.mechrescom.2006.05.001	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	The present work introduces fractional calculus into the continuum mechanics area describing non-local constitutive relations. Considering a one-dimensional body and assuming total stored energy depending not only upon the local strain but also upon a fractional derivative of the stain, an elastic model with non-local stress-strain behavior is introduced. Fractional calculus provides a natural framework for describing non-local constitutive relations and requires no assumptions for the interval of non-local influence. Furthermore, the proposed method works in finite intervals contrary to the existing theories requiring infinite domains. (C) 2006 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Mechanics Research Communications	en
dc.identifier.doi	10.1016/j.mechrescom.2006.05.001	en
dc.identifier.isi	ISI:000239465000001	en
dc.identifier.volume	33	en
dc.identifier.issue	6	en
dc.identifier.spage	753	en
dc.identifier.epage	757	en