The TRIC shell element: theoretical and numerical investigation

Argyris, JH; Papadrakakis, M; Apostolopoulou, C; Koutsourelakis, S

dc.contributor.author	Argyris, JH	en
dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Apostolopoulou, C	en
dc.contributor.author	Koutsourelakis, S	en
dc.date.accessioned	2014-03-01T01:15:56Z
dc.date.available	2014-03-01T01:15:56Z
dc.date.issued	2000	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13834
dc.subject	Exact Solution	en
dc.subject	Satisfiability	en
dc.subject	Theoretical Foundation	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	FINITE-ELEMENT	en
dc.subject.other	TRIANGULAR ELEMENT	en
dc.subject.other	COMPOSITES	en
dc.title	The TRIC shell element: theoretical and numerical investigation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0045-7825(99)00094-8	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0045-7825(99)00094-8	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	The TRIC facet triangular shell element, which is based on the natural mode method, is seen under the light of the non-consistent formulation proposed by Bergan and co-workers. Under this formulation, the convergence requirements are fulfilled even with relaxed conditions on the conformity demands of the displacement shape functions. The intrinsic connection between the non-consistent formulation and the natural mode method is demonstrated, establishing thus a rigorous theoretical foundation for the TRIC element. Under the perspective of the non-consistent formulation, TRIC's convergence characteristics are established by satisfying apriori the patch test due to its inherent properties and thus guaranteeing convergence to the exact solution. Furthermore, the element's accuracy, robustness and efficiency are tested in a number of judiciously selected numerical examples on benchmark plate and shell problems, while a CPU time comparison with a pure displacement-based isoparametric shell element demonstrates its computational merits. (C) 2000 Elsevier Science S.A. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE SA	en
heal.journalName	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING	en
dc.identifier.doi	10.1016/S0045-7825(99)00094-8	en
dc.identifier.isi	ISI:000085007800013	en
dc.identifier.volume	182	en
dc.identifier.issue	1-2	en
dc.identifier.spage	217	en
dc.identifier.epage	245	en