Large deflection analysis of elastic space membranes

Tsiatas, GC; Katsikadelis, JT

dc.contributor.author	Tsiatas, GC	en
dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T01:24:33Z
dc.date.available	2014-03-01T01:24:33Z
dc.date.issued	2006	en
dc.identifier.issn	0029-5981	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17327
dc.subject	AEM	en
dc.subject	BEM	en
dc.subject	Large deflections	en
dc.subject	Non-linear	en
dc.subject	Space membranes	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Elasticity	en
dc.subject.other	Finite element method	en
dc.subject.other	Membranes	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Poisson equation	en
dc.subject.other	Variational techniques	en
dc.subject.other	Analogue equation method (AEM)	en
dc.subject.other	Elastic space membranes	en
dc.subject.other	Large deflection analysis	en
dc.subject.other	Structural analysis	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Elasticity	en
dc.subject.other	Finite element method	en
dc.subject.other	Membranes	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Poisson equation	en
dc.subject.other	Structural analysis	en
dc.subject.other	Variational techniques	en
dc.title	Large deflection analysis of elastic space membranes	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/nme.1499	en
heal.identifier.secondary	http://dx.doi.org/10.1002/nme.1499	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	In this paper a solution to the problem of elastic space (initially non-flat) membranes is presented. A new formulation of the governing differential equations is presented in terms of the displacements in the Cartesian co-ordinates. The reference surface of the membrane is the minimal surface. The problem is solved by direct integration of the differential equations using the analogue equation method (AEM). According to this method the three coupled non-linear partial differential equations with variable coefficients are replaced with three uncoupled equivalent linear flat membrane equations (Poisson's equations) subjected to unknown sources under the same boundary conditions. Subsequently, the unknown sources are established using a procedure based on the BEM. The displacements as well as the stress resultants are evaluated at any point of the membrane from their integral representations of the solution of the substitute problems, which are used as mathematical formulae. Several membranes are analysed which illustrate the method and demonstrate its efficiency and accuracy as compared with analytical and existing numerical methods. Copyright (c) 2005 John Wiley & Sons, Ltd.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	International Journal for Numerical Methods in Engineering	en
dc.identifier.doi	10.1002/nme.1499	en
dc.identifier.isi	ISI:000234692600006	en
dc.identifier.volume	65	en
dc.identifier.issue	2	en
dc.identifier.spage	264	en
dc.identifier.epage	294	en