A BEM based domain decomposition method for nonlinear analysis of elastic space membranes

Tsiatas, GC; Katsikadelis, JT

dc.contributor.author	Tsiatas, GC	en
dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T01:23:22Z
dc.date.available	2014-03-01T01:23:22Z
dc.date.issued	2006	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16928
dc.subject	Analog Equation Method	en
dc.subject	Boundary elements	en
dc.subject	Domain Decomposition Method	en
dc.subject	Flat membranes	en
dc.subject	Large deflections	en
dc.subject	Meshless BEM	en
dc.subject	Nonlinear	en
dc.subject	Space membranes	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Problem solving	en
dc.subject.other	Analog Equation Method (AEM)	en
dc.subject.other	Domain Decomposition Method (DDM)	en
dc.subject.other	Elastic space membranes	en
dc.subject.other	Boundary element method	en
dc.title	A BEM based domain decomposition method for nonlinear analysis of elastic space membranes	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00466-005-0725-y	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00466-005-0725-y	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	In this paper the Domain Decomposition Method (DDM) is developed for nonlinear analysis of both flat and space elastic membranes of complicated geometry which may have holes. The domain of the projection of the membrane on the xy plane is decomposed into non-overlapping subdomains and the membrane problem is solved sequentially in each subdomain starting from zero displacements on the virtual boundaries. The procedure is repeated until the traction continuity conditions are also satisfied on the virtual boundaries. The membrane problem in each subdomain is solved using the Analog Equation Method (AEM). According to this method the three coupled strongly nonlinear partial differential equations, governing the response of the membrane, are replaced by three uncoupled linear membrane equations (Poisson's equations) subjected to fictitious sources under the same boundary conditions. The fictitious sources are established using a meshless BEM procedure. Example problems are presented, for both flat and space membranes, which illustrate the method and demonstrate its efficiency and accuracy.	en
heal.publisher	SPRINGER	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s00466-005-0725-y	en
dc.identifier.isi	ISI:000237184100003	en
dc.identifier.volume	38	en
dc.identifier.issue	2	en
dc.identifier.spage	119	en
dc.identifier.epage	131	en