Polynomial C1 shape functions on the triangle

Papanicolopulos, S-A; Zervos, A

dc.contributor.author	Papanicolopulos, S-A	en
dc.contributor.author	Zervos, A	en
dc.date.accessioned	2014-03-01T11:47:07Z
dc.date.available	2014-03-01T11:47:07Z
dc.date.issued	2012	en
dc.identifier.issn	00457949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/38097
dc.subject	C1 continuity	en
dc.subject	Finite elements	en
dc.subject	Gradient elasticity	en
dc.subject	Shape functions	en
dc.subject	Triangular element	en
dc.title	Polynomial C1 shape functions on the triangle	en
heal.type	other	en
heal.identifier.primary	10.1016/j.compstruc.2012.07.003	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.compstruc.2012.07.003	en
heal.publicationDate	2012	en
heal.abstract	We derive generic formulae for all possible C1 continuous polynomial interpolations for triangular elements, by considering individual shape functions, without the need to prescribe the type of the degrees of freedom in advance. We then consider the possible ways in which these shape functions can be combined to form finite elements with given properties. The simplest case of fifth-order polynomial functions is presented in detail, showing how two existing elements can be obtained, as well as two new elements, one of which shows good numerical behaviour in numerical tests. © 2012 Elsevier Ltd. All rights reserved.	en
heal.journalName	Computers and Structures	en
dc.identifier.doi	10.1016/j.compstruc.2012.07.003	en