The analog equation method for large deflection analysis of heterogeneous orthotropic membranes: A boundary-only solution

Katsikadelis, JT; Tsiatas, GC

dc.contributor.author	Katsikadelis, JT	en
dc.contributor.author	Tsiatas, GC	en
dc.date.accessioned	2014-03-01T01:17:13Z
dc.date.available	2014-03-01T01:17:13Z
dc.date.issued	2001	en
dc.identifier.issn	0955-7997	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14397
dc.subject	Analog equation	en
dc.subject	Boundary element method	en
dc.subject	Heterogeneous	en
dc.subject	Large deflections	en
dc.subject	Membrane	en
dc.subject	Nonlinear	en
dc.subject	Orthotropic	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Deflection (structures)	en
dc.subject.other	Integral equations	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Poisson equation	en
dc.subject.other	Stress analysis	en
dc.subject.other	Structural analysis	en
dc.subject.other	Analog equations	en
dc.subject.other	Boundary element method	en
dc.title	The analog equation method for large deflection analysis of heterogeneous orthotropic membranes: A boundary-only solution	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0955-7997(01)00033-9	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0955-7997(01)00033-9	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	In this paper, the analog equation method (AEM) is applied to nonlinear analysis of heterogeneous orthotropic membranes with arbitrary shape. In this case, the transverse deflections influence the in-plane stress resultants and the three partial differential equations governing the response of the membrane are coupled and nonlinear with variable coefficients. The present formulation, being in terms of the three displacement components, permits the application of geometrical in-plane boundary conditions. The membrane may be prestressed either by prescribed boundary displacements or by tractions. Using the concept of the analog equation, the three coupled nonlinear equations are replaced by three uncoupled Poisson's equations with fictitious sources under the same boundary conditions. Subsequently, the fictitious sources are established using a procedure based on the BEM and the displacement components as well as the stress resultants are evaluated from their integral representations at any point of the membrane. Several membranes are analyzed which illustrate the method, and demonstrate its efficiency and accuracy. Moreover, useful conclusions are drawn for the nonlinear response of heterogeneous anisotropic membranes. The method has all the advantages of the pure BEM, since the discretization and integration are limited only to the boundary. (C) 2001 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Engineering Analysis with Boundary Elements	en
dc.identifier.doi	10.1016/S0955-7997(01)00033-9	en
dc.identifier.isi	ISI:000170510200004	en
dc.identifier.volume	25	en
dc.identifier.issue	8	en
dc.identifier.spage	655	en
dc.identifier.epage	667	en