Material-dependent stability conditions in the buckling of nonlinear elastic bars

Kounadis, AN

dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:06:54Z
dc.date.available	2014-03-01T01:06:54Z
dc.date.issued	1987	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9667
dc.subject.classification	Mechanics	en
dc.subject.other	STRUCTURAL ANALYSIS - Stability	en
dc.subject.other	CANTILEVER BAR	en
dc.subject.other	DISPLACEMENT	en
dc.subject.other	POSTBUCKLING	en
dc.subject.other	STABILITY ANALYSIS	en
dc.subject.other	STRUCTURAL DESIGN	en
dc.title	Material-dependent stability conditions in the buckling of nonlinear elastic bars	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01182133	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01182133	en
heal.language	English	en
heal.publicationDate	1987	en
heal.abstract	A thorough study of the critical and post-critical large displacement response of simple discrete and continuous systems made from a nonlinear elastic material, is presented. Simple material-dependent stability conditions are established, whose application does not require the solution of the intractable nonlinear differential equations of equilibrium. The predominent role of the nonlinear component of the curvature on the buckling mechanism of the foregoing systems, is revealed. Moreover, it is found that elastic systems which were considered as exhibiting post-buckling strength might be imperfection sensitive, if the effect of material nonlinearity is taken into account. An approximate but very efficient analytical approach leading to very reliable results is derived for establishing the large displacement behavior of a nonlinear elastic cantilever bar. The degree of accuracy of this approach is checked by comparing it with the ""exact"" numerical solution of Runge Kutta. The numerical results presented herein contribute to our understanding of this problem and at the same time show the efficiency, reliability and range of applicability of the proposed approach. © 1987 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/BF01182133	en
dc.identifier.isi	ISI:A1987J315900015	en
dc.identifier.volume	67	en
dc.identifier.issue	1-4	en
dc.identifier.spage	209	en
dc.identifier.epage	228	en