Elastica type buckling analysis of bars from non-linearly elastic material

Kounadis, AN; Mallis, JG

dc.contributor.author	Kounadis, AN	en
dc.contributor.author	Mallis, JG	en
dc.date.accessioned	2014-03-01T01:06:52Z
dc.date.available	2014-03-01T01:06:52Z
dc.date.issued	1987	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9639
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0023167256&partnerID=40&md5=7a5c2cd0d7876b53450032bca4a751f9	en
dc.subject.classification	Mechanics	en
dc.subject.other	ELASTICITY	en
dc.subject.other	MECHANICS - Continuous Media	en
dc.subject.other	ELASTIC TYPE BUCKLING	en
dc.subject.other	NONLINEAR ELASTICITY	en
dc.subject.other	BARS	en
dc.title	Elastica type buckling analysis of bars from non-linearly elastic material	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1987	en
heal.abstract	The post-buckling response of a simply supported, axially compressed, uniform bar of non-linearly elastic material, is presented. The buckling analysis considers large deflections of the elastica type in which the influence of bar axis shortening is also taken into account. The solution of the strongly non-linear differential equation is obtained analytically by a simple and very efficient approximate technique leading to reliable results. Conditions of stability of the post-buckling path depending on the degree of the material non-linearity are established. Moreover, the individual and coupling effect of the material non-linearity and the bar slenderness ratio on the post-buckling path are thoroughly discussed. Numerical results for both non-linearly and linearly elastic material show the efficiency and reliability of the proposed procedure. © 1987.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.isi	ISI:A1987H525100003	en
dc.identifier.volume	22	en
dc.identifier.issue	2	en
dc.identifier.spage	99	en
dc.identifier.epage	107	en