A mixed finite volume formulation for the solution of gradient elasticity problems

Tsamasphyros, GI; Vrettos, CD

dc.contributor.author	Tsamasphyros, GI	en
dc.contributor.author	Vrettos, CD	en
dc.date.accessioned	2014-03-01T01:32:28Z
dc.date.available	2014-03-01T01:32:28Z
dc.date.issued	2010	en
dc.identifier.issn	0939-1533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20144
dc.subject	Finite volume	en
dc.subject	Gradient elasticity	en
dc.subject	Linear interpolation	en
dc.subject	Mixed formulation	en
dc.subject.classification	Mechanics	en
dc.subject.other	3-D problems	en
dc.subject.other	Analytic solution	en
dc.subject.other	Dipolar gradient elasticity	en
dc.subject.other	Finite volume	en
dc.subject.other	Finite-volume formulation	en
dc.subject.other	Gradient elasticity	en
dc.subject.other	Linear Interpolation	en
dc.subject.other	Mixed formulations	en
dc.subject.other	Numerical implementation	en
dc.subject.other	Elastohydrodynamics	en
dc.subject.other	Interpolation	en
dc.subject.other	Numerical control systems	en
dc.subject.other	Elasticity	en
dc.title	A mixed finite volume formulation for the solution of gradient elasticity problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00419-009-0332-z	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00419-009-0332-z	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	The present works aims at solving the equations of dipolar gradient elasticity via the finite volume method. Initially, a general, mixed, finite volume formulation is stated. As a first approach, the equations of 1D and 2D gradient elasticity are solved via the proposed method. Numerical implementation shows that the suggested model is in excellent agreement with analytic solutions. The approach seems to be promising for extension to 3D problems also. © 2009 Springer-Verlag.	en
heal.publisher	SPRINGER	en
heal.journalName	Archive of Applied Mechanics	en
dc.identifier.doi	10.1007/s00419-009-0332-z	en
dc.identifier.isi	ISI:000276489400003	en
dc.identifier.volume	80	en
dc.identifier.issue	6	en
dc.identifier.spage	609	en
dc.identifier.epage	627	en