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dc.contributor.authorHaslinger, Jaroslav
dc.contributor.authorRepin, Sergey
dc.contributor.authorSysala, Stanislav
dc.date.accessioned2016-03-21T12:24:59Z
dc.date.available2018-03-02T22:45:07Z
dc.date.issued2016
dc.identifier.citationHaslinger, J., Repin, S., & Sysala, S. (2016). A reliable incremental method of computing the limit load in deformation plasticity based on compliance : Continuous and discrete setting. <em>Journal of Computational and Applied Mathematics</em>, 303, 156-170. <a href="http://dx.doi.org/10.1016/j.cam.2016.02.035">doi:10.1016/j.cam.2016.02.035</a>
dc.identifier.otherTUTKAID_69339
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/49138
dc.description.abstractThe aim of this paper is to introduce an enhanced incremental procedure that can be used for the numerical evaluation and reliable estimation of the limit load. A conventional incremental method of limit analysis is based on parametrization of the respective variational formulation by the loading parameter ζ ∈ (0, ζlim), where ζlim is generally unknown. The enhanced incremental procedure is operated in terms of an inverse mapping ψ : α 7→ ζ where the parameter α belongs to (0, +∞) and its physical meaning is work of applied forces at the equilibrium state. The function ψ is continuous, nondecreasing and its values tend to ζlim as α → +∞. Reduction of the problem to a finite element subspace associated with a mesh Th generates the discrete limit parameter ζlim,h and the discrete counterpart ψh to the function ψ. We prove pointwise convergence ψh → ψ and specify a class of yield functions for which ζlim,h → ζlim. These convergence results enable to find reliable lower and upper bounds of ζlim. Numerical tests confirm computational efficiency of the suggested method.
dc.language.isoeng
dc.publisherElsevier BV * North-Holland; Computational and Applied Mathematics Group
dc.relation.ispartofseriesJournal of Computational and Applied Mathematics
dc.subject.othervariational problems with linear growth energy
dc.subject.otherincremental limit analysis
dc.subject.otherelastic-perfectly plastic problems
dc.subject.otherfinite element approximation
dc.titleA reliable incremental method of computing the limit load in deformation plasticity based on compliance : Continuous and discrete setting
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201603181891
dc.contributor.laitosTietotekniikan laitosfi
dc.contributor.laitosDepartment of Mathematical Information Technologyen
dc.contributor.oppiaineTietotekniikka
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2016-03-18T13:15:06Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange156-170
dc.relation.issn0377-0427
dc.relation.volume303
dc.type.versionacceptedVersion
dc.rights.copyright© 2016 Elsevier B.V. This is a final draft version of an article whose final and definitive form has been published by Elsevier. Published in this repository with the kind permission of the publisher.
dc.rights.accesslevelopenAccessfi
dc.relation.doi10.1016/j.cam.2016.02.035


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