A green's function method for large deflection analysis of plates

Nerantzaki, MS; Katsikadelis, JT

dc.contributor.author	Nerantzaki, MS	en
dc.contributor.author	Katsikadelis, JT	en
dc.date.accessioned	2014-03-01T01:07:02Z
dc.date.available	2014-03-01T01:07:02Z
dc.date.issued	1988	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9761
dc.subject	biharmonic equation	en
dc.subject	Curvature Tensor	en
dc.subject	Gaussian Quadrature	en
dc.subject	Green Function	en
dc.subject	green's function method	en
dc.subject	Integral Equation	en
dc.subject	Integral Representation	en
dc.subject	Nonlinear Integral Equation	en
dc.subject	Integral Equation Method	en
dc.subject.classification	Mechanics	en
dc.subject.other	Elasticity--Mathematical Models	en
dc.subject.other	Structural Analysis	en
dc.subject.other	Curvature Tensors	en
dc.subject.other	Green's Functions	en
dc.subject.other	Stress Function	en
dc.subject.other	Thin Elastic Plates	en
dc.subject.other	Plates	en
dc.title	A green's function method for large deflection analysis of plates	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01174636	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01174636	en
heal.language	English	en
heal.publicationDate	1988	en
heal.abstract	An integral equation method is presented for large deflection analysis of thin elastic plates, whose behaviour is governed by the von Kármán equations. The method uses the Green function of the biharmonic equation to establish integral representations of the deflection and stress function for the linear part of the governing operator while the nonlinearities are treated as loading forces. Six nonlinear domain integral equations are formulated which are solved to yield the curvature tensors of the deflection and stress function surfaces and thereby the deflections and stress resultants. The nonlinear integral equations are solved numerically by developing an effective technique based on Gaussian quadrature over domains of arbitrary shape. For domains of simple geometry ready-to-use Green functions are employed whereas for regions of arbitrary shape the Green function is established numerically using BEM. The efficiency of the method is demonstrated and attested by analyzing a circular clamped plate with movable edge. © 1988 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/BF01174636	en
dc.identifier.isi	ISI:A1988R743600013	en
dc.identifier.volume	75	en
dc.identifier.issue	1-4	en
dc.identifier.spage	211	en
dc.identifier.epage	225	en