Tracing post-limit-point paths with incomplete or without factorization of the stiffness matrix

Papadrakakis, M; Theoharis, AP

dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Theoharis, AP	en
dc.date.accessioned	2014-03-01T01:08:35Z
dc.date.available	2014-03-01T01:08:35Z
dc.date.issued	1991	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10590
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0026191543&partnerID=40&md5=18865a42c1ea40c4bd0303ca82158a9d	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Computer Programming - Algorithms	en
dc.subject.other	Mathematical Techniques - Iterative Methods	en
dc.subject.other	Conjugate-Newton Methods	en
dc.subject.other	Factorization	en
dc.subject.other	Post-Limit-Point Path Tracing	en
dc.subject.other	Stiffness Matrix	en
dc.subject.other	Structural Design	en
dc.title	Tracing post-limit-point paths with incomplete or without factorization of the stiffness matrix	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	In this work nonlinear versions of preconditioned conjugate gradient-like methods have been employed in conjunction with a work control constraint in order to trace the complete load-displacement path beyond limit points. The so called conjugate and secant-Newton methods combine the convergence properties of Newton-like methods and the low storage requirements of vector iteration methods by varying the storage demands for the preconditioning matrix according to the available computer storage facilities. Special care has to be taken in the line search routine which is indispensable for any nonlinear version of a conjugate gradient-like method. The constraint formulation of the methods is properly modified to incorporate the line search, while a special implementation is proposed for the unstable branches of the load-displacement curves where the corresponding stationary point of the total potential energy is a saddle point.	en
heal.publisher	ELSEVIER SCIENCE SA LAUSANNE	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.isi	ISI:A1991FV93000002	en
dc.identifier.volume	88	en
dc.identifier.issue	2	en
dc.identifier.spage	165	en
dc.identifier.epage	187	en