A simple finite element model for the geometrically nonlinear analysis of thin shells

dc.creator	Providas, E.	en
dc.creator	Kattis, M. A.	en
dc.date.accessioned	2015-11-23T10:46:10Z
dc.date.available	2015-11-23T10:46:10Z
dc.date.issued	1999
dc.identifier	10.1007/s004660050445
dc.identifier.issn	0178-7675
dc.identifier.uri	http://hdl.handle.net/11615/32513
dc.description.abstract	A triangular flat finite element for the analysis of thin shells which undergo large displacements is proposed. It is: based upon the geometrically nonlinear theory of von Karman for thin plates and the total Lagrangian approach. It has a total of only twelve degrees of freedom, namely, three translations at each vertex and one rotation at each mid-side. The stiffness matrix and the tangent stiffness matrix are derived explicitly. The element is tested against nonlinear patch test solutions and its performance is evaluated by solving several standard problems. The directional derivatives of the potential energy function required for the stability analysis are also provided.	en
dc.source.uri	<Go to ISI>://WOS:000082581800007
dc.subject	CONSTANT MOMENT TRIANGLE	en
dc.subject	FORMULATION	en
dc.subject	PLATES	en
dc.subject	Mathematics, Interdisciplinary Applications	en
dc.subject	Mechanics	en
dc.title	A simple finite element model for the geometrically nonlinear analysis of thin shells	en
dc.type	journalArticle	en

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