A comprehensive catastrophe theory for non-linear buckling of simple systems exhibiting fold and cusp catastrophes

Lignos, XA; Parke, GAR; Harding, JE; Kounadis, AN

dc.contributor.author	Lignos, XA	en
dc.contributor.author	Parke, GAR	en
dc.contributor.author	Harding, JE	en
dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:17:20Z
dc.date.available	2014-03-01T01:17:20Z
dc.date.issued	2002	en
dc.identifier.issn	0029-5981	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14471
dc.subject	Discrete systems	en
dc.subject	Fold and cusp catastrophes	en
dc.subject	Non-linear buckling	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Buckling	en
dc.subject.other	Potential energy	en
dc.subject.other	Stability	en
dc.subject.other	Catastrophe theory	en
dc.subject.other	Numerical methods	en
dc.subject.other	buckling	en
dc.subject.other	mathematical method	en
dc.title	A comprehensive catastrophe theory for non-linear buckling of simple systems exhibiting fold and cusp catastrophes	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/nme.416	en
heal.identifier.secondary	http://dx.doi.org/10.1002/nme.416	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	Non-linear static buckling of simple systems associated with typical discrete critical points is comprehensively presented using elementary Catastrophe Theory. Attention is focused on the Fold and Cusp Catastrophe, all local properties of which are assessed in detail. Hence, in dealing with stability problems of potential systems there is no need to seek any of these properties since all of these are known a priori. Then, one has only to classify, after reduction, the total potential energy of a system into one of the universal unfoldings of the above types of catastrophe. Two illustrative numerical examples show the methodology of the proposed technique. Copyright © 2002 John Wiley and Sons, Ltd.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	International Journal for Numerical Methods in Engineering	en
dc.identifier.doi	10.1002/nme.416	en
dc.identifier.isi	ISI:000175045300002	en
dc.identifier.volume	54	en
dc.identifier.issue	2	en
dc.identifier.spage	175	en
dc.identifier.epage	193	en