A computationally efficient method for the limit elasto plastic analysis of space frames

Papadrakakis, M; Papadopoulos, V

dc.contributor.author	Papadrakakis, M	en
dc.contributor.author	Papadopoulos, V	en
dc.date.accessioned	2014-03-01T01:10:33Z
dc.date.available	2014-03-01T01:10:33Z
dc.date.issued	1995	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11408
dc.subject	Conjugate Gradient Method	en
dc.subject	Direct Method	en
dc.subject	Limit Analysis	en
dc.subject	Preconditioned Conjugate Gradient Method	en
dc.subject	First Order	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Approximation theory	en
dc.subject.other	Computational methods	en
dc.subject.other	Elastoplasticity	en
dc.subject.other	Iterative methods	en
dc.subject.other	Mathematical models	en
dc.subject.other	Stiffness matrix	en
dc.subject.other	Structural analysis	en
dc.subject.other	Structural loads	en
dc.subject.other	Limit analysis	en
dc.subject.other	Plastic node method	en
dc.subject.other	Plastic zone	en
dc.subject.other	Space frames	en
dc.subject.other	Yield surface	en
dc.subject.other	Structural frames	en
dc.title	A computationally efficient method for the limit elasto plastic analysis of space frames	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00365867	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00365867	en
heal.language	English	en
heal.publicationDate	1995	en
heal.abstract	A computationally efficient method for the first order step-by-step limit analysis of space frames is presented. The incremental non-holonomic analysis is based on the generalized plastic node method. The non-linear yield surface is approximated by a multi-faceted surface, thus avoiding the iterative formulation at each load step. In order to prevent the occurrence of very small load steps a second internal and homothetic to the initial yield surface is implemented which creates a plastic zone for the activation of the plastic modes. This implementation reduces substantially the computational effort of the procedure without affecting the value of the final load. The solution of the linear equilibrium equation at each load step is obtained with the preconditioned conjugate gradient method. Special attention is paid to the fact that the overall stiffness matrix changes gradually with the successive formation of plastic nodes. The application of the conjugate gradient method is based on some recent developments on improved matrix handling techniques and efficient preconditioning strategies. A number of test problems have been performed which show the usefulness of the proposed approach and its superiority in respect to efficient direct methods of solution in both storage requirements and computing time. © 1995 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/BF00365867	en
dc.identifier.isi	ISI:A1995RC37900008	en
dc.identifier.volume	16	en
dc.identifier.issue	2	en
dc.identifier.spage	132	en
dc.identifier.epage	141	en