Analysis of axisymmetric structures using Coons' interpolation

Provatidis, CG

dc.contributor.author	Provatidis, CG	en
dc.date.accessioned	2014-03-01T01:18:39Z
dc.date.available	2014-03-01T01:18:39Z
dc.date.issued	2003	en
dc.identifier.issn	0168-874X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15135
dc.subject	CAD/CAE systems	en
dc.subject	Global interpolation	en
dc.subject	Large elements	en
dc.subject	Macro-elements	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mechanics	en
dc.subject.other	Automotive industry	en
dc.subject.other	Computer aided design	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Finite element method	en
dc.subject.other	Stress analysis	en
dc.subject.other	Axisymmetric structures	en
dc.subject.other	Interpolation	en
dc.title	Analysis of axisymmetric structures using Coons' interpolation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0168-874X(02)00127-0	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0168-874X(02)00127-0	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	This paper investigates the performance of global shape functions in axisymmetric elastic structures. The main idea behind the proposed theory is the use of the interpolation formula developed by Coons for CAD purposes in automotive industry, in which it is shown that it is capable of interpolating the displacements within a large patch on the axial cross-section of a structure. The degrees of freedom appear only at the patch boundaries and can be used in the solution of displacement and stress analysis problems. Two different schemes for the interpolation of the boundary data, using B-splines and/or linear global shape functions, are investigated. Numerical results are presented for three typical test cases where the proposed method is successfully compared with conventional finite elements and closed analytical solutions. (C) 2002 Elsevier Science B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Finite Elements in Analysis and Design	en
dc.identifier.doi	10.1016/S0168-874X(02)00127-0	en
dc.identifier.isi	ISI:000180683100013	en
dc.identifier.volume	39	en
dc.identifier.issue	5-6	en
dc.identifier.spage	535	en
dc.identifier.epage	558	en