The analog equation method for large deflection analysis of membranes. A boundary-only solution

Katsikadelis, JT; Nerantzaki, MS; Tsiatas, GC

dc.contributor.author	Katsikadelis, JT	en
dc.contributor.author	Nerantzaki, MS	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	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14398
dc.subject	Boundary Condition	en
dc.subject	Integral Representation	en
dc.subject	Nonlinear Analysis	en
dc.subject	Nonlinear Equation	en
dc.subject	Nonlinear Response	en
dc.subject	Partial Differential Equation	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Deflection (structures)	en
dc.subject.other	Elasticity	en
dc.subject.other	Integral equations	en
dc.subject.other	Membranes	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Poisson equation	en
dc.subject.other	Stresses	en
dc.subject.other	Structural analysis	en
dc.subject.other	Traction (friction)	en
dc.subject.other	Analog equation method	en
dc.subject.other	Boundary only solution	en
dc.subject.other	Membranes deflection analysis	en
dc.subject.other	Boundary element method	en
dc.title	The analog equation method for large deflection analysis of membranes. A boundary-only solution	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s004660100263	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s004660100263	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 elastic membranes with arbitrary shape. In this case the transverse deflections influence the inplane stress resultants and the three partial differential equations governing the response of the membrane are coupled and nonlinear. The present formulation, being in terms of the three displacements components, permits the application of geometrical inplane boundary conditions. The membrane is 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 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 the membranes. The method has all the advantages of the pure BEM, since the discretization and integration is limited only to the boundary.	en
heal.publisher	SPRINGER-VERLAG	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s004660100263	en
dc.identifier.isi	ISI:000171239400007	en
dc.identifier.volume	27	en
dc.identifier.issue	6	en
dc.identifier.spage	513	en
dc.identifier.epage	523	en