Dynamic finite element analysis of a gradient elastic bar with micro-inertia

Filopoulos, SP; Papathanasiou, TK; Markolefas, SI; Tsamasphyros, GJ

dc.contributor.author	Filopoulos, SP	en
dc.contributor.author	Papathanasiou, TK	en
dc.contributor.author	Markolefas, SI	en
dc.contributor.author	Tsamasphyros, GJ	en
dc.date.accessioned	2014-03-01T11:46:22Z
dc.date.available	2014-03-01T11:46:22Z
dc.date.issued	2009	en
dc.identifier.issn	01787675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/37845
dc.subject	Dispersion	en
dc.subject	Eigenfrequency	en
dc.subject	Finite elements	en
dc.subject	Gradient elasticity	en
dc.subject	Micro-inertia	en
dc.subject	Micro-mechanics	en
dc.subject	Modal analysis	en
dc.title	Dynamic finite element analysis of a gradient elastic bar with micro-inertia	en
heal.type	other	en
heal.identifier.primary	10.1007/s00466-009-0453-9	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00466-009-0453-9	en
heal.publicationDate	2009	en
heal.abstract	We study the dynamic behavior of a first strain gradient elastic bar with micro-inertia by means of the finite element method. The partial differential equation describing the motion of the bar expressed in terms of displacement is of fourth order with respect to the spatial variable, therefore, for the standard Galerkin formulation, Hermite elements are required. Consistent mass matrices are employed. The results are validated by comparison with some special cases where the exact solutions are derivable. Dispersion relations for the longitudinal waves are also derived. The effect of micro-inertia in the dynamic response of the bar is analyzed and comparisons are made with the classical elastic case. It is found that the micro-inertia parameter considerably affects the dynamic response of the bar and the dispersion characteristics of longitudinal waves. © 2009 Springer-Verlag.	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s00466-009-0453-9	en
dc.identifier.spage	1	en
dc.identifier.epage	9	en