Static analysis of two-dimensional elastic structures using global collocation

Provatidis, CG; Ioannou, KS

dc.contributor.author	Provatidis, CG	en
dc.contributor.author	Ioannou, KS	en
dc.date.accessioned	2014-03-01T01:34:39Z
dc.date.available	2014-03-01T01:34:39Z
dc.date.issued	2010	en
dc.identifier.issn	0939-1533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20789
dc.subject	Collocation	en
dc.subject	Least squares	en
dc.subject	Finite element	en
dc.subject	Elastostatics	en
dc.subject.classification	Mechanics	en
dc.subject.other	3-DIMENSIONAL COONS MACROELEMENTS	en
dc.subject.other	FREE-VIBRATION ANALYSIS	en
dc.subject.other	PATCH MACROELEMENTS	en
dc.subject.other	INTERPOLATION	en
dc.subject.other	DOMAINS	en
dc.subject.other	NURBS	en
dc.title	Static analysis of two-dimensional elastic structures using global collocation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00419-009-0317-y	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00419-009-0317-y	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	Based on previous findings concerning the numerical solution of one-dimensional elastodynamical problems [Provatidis in Arch Appl Mech 78(4):241-250, 2008] this paper extends the methodology to the static analysis of two-dimensional problems in quadrilateral domains. This target is achieved by replacing the Galerkin/Ritz procedure involved in Lagrangian (or Gordon-Coons) type finite elements by a global collocation scheme. In brief, the boundary conditions are fulfilled at all boundary nodes, while the governing equation is fulfilled at internal points. The theory is supported by four test cases concerning rectangular and curvilinear structures under plane-stress or plane-strain conditions, where the convergence rate is successfully compared with that of conventional bilinear finite elements with the same mesh density.	en
heal.publisher	SPRINGER	en
heal.journalName	ARCHIVE OF APPLIED MECHANICS	en
dc.identifier.doi	10.1007/s00419-009-0317-y	en
dc.identifier.isi	ISI:000274455500005	en
dc.identifier.volume	80	en
dc.identifier.issue	4	en
dc.identifier.spage	389	en
dc.identifier.epage	400	en