Geometrically nonlinear analysis of elastic membranes with embedded rigid inclusions

Nerantzaki, MS; Kandilas, CB

dc.contributor.author	Nerantzaki, MS	en
dc.contributor.author	Kandilas, CB	en
dc.date.accessioned	2014-03-01T01:26:24Z
dc.date.available	2014-03-01T01:26:24Z
dc.date.issued	2007	en
dc.identifier.issn	0955-7997	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18060
dc.subject	Analog equation method	en
dc.subject	Boundary elements	en
dc.subject	Elastic membranes	en
dc.subject	Large deflections	en
dc.subject	Nonlinear	en
dc.subject	Rigid inclusion	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	Inverse kinematics	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Phase equilibria	en
dc.subject.other	Problem solving	en
dc.subject.other	Rigidity	en
dc.subject.other	Analog equation methods	en
dc.subject.other	Elastic membranes	en
dc.subject.other	Large deflections	en
dc.subject.other	Rigid inclusion	en
dc.subject.other	Membranes	en
dc.title	Geometrically nonlinear analysis of elastic membranes with embedded rigid inclusions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.enganabound.2006.09.005	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.enganabound.2006.09.005	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this paper the deformation of membranes containing rigid inclusions is analyzed. These rigid inclusions can significantly change the entire stress distribution in the membrane and therefore create major difficulties for the design. The initially flat membrane, which may be prestretched by boundary in-plane tractions or displacements, is subjected to externally applied loads and to the weight of the rigid inclusions. The composite system is examined in cases where its deformation reaches a state for which the undeformed and deformed shapes are substantially different. In such cases large deflections of membranes are considered, which result from nonlinear kinematic relations. The three coupled nonlinear equations in terms of the displacements governing the response of the membrane are solved using the analog equation method, which reduces the problem to the solution of three uncoupled Poisson's equations with fictitious domain source densities. The problem is strongly nonlinear [Katsikadelis IT, Nerantzaki MS. The boundary element method for nonlinear problems. Eng Anal Boundary Elements 1999;23:365-73]. In addition to the geometrical nonlinearity, the problem is itself nonlinear, since the membrane's reactions on the boundary of the rigid inclusions are not a priori known as they depend on the produced deflection surface. Iterative schemes are developed for calculation of deformed membrane's configuration, which converge to the final equilibrium state of the membrane with the given external applied loads. Several example problems are presented, which illustrate the method and demonstrate its accuracy and efficiency. The method employed for the solution is boundary only with all the advantages of the pure BEM. (c) 2006 Elsevier Ltd. All rights reserved.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Engineering Analysis with Boundary Elements	en
dc.identifier.doi	10.1016/j.enganabound.2006.09.005	en
dc.identifier.isi	ISI:000244802200004	en
dc.identifier.volume	31	en
dc.identifier.issue	3	en
dc.identifier.spage	216	en
dc.identifier.epage	225	en