Tangent modulus in numerical integration of constitutive relations and its influence on convergence of N-R method

dc.contributor.authorHalama, Radim
dc.contributor.authorPoruba, Zdeněk
dc.date.accessioned2013-03-29T09:20:58Z
dc.date.available2013-03-29T09:20:58Z
dc.date.issued2009
dc.description.abstractFor the numerical solution of elasto-plastic problems with use of Newton-Raphson method in global equilibrium equation it is necessary to determine the tangent modulus in each integration point. To reach the parabolic convergence of Newton-Raphson method it is convenient to use so called algorithmic tangent modulus which is consistent with used integration scheme. For more simple models for example Chaboche combined hardening model it is possible to determine it in analytical way. In case of more robust macroscopic models it is in many cases necessary to use the approximation approach. This possibility is presented in this contribution for radial return method on Chaboche model. An example solved in software Ansys corresponds to line contact problem with assumption of Coulomb’s friction. The study shows at the end that the number of iteration of N-R method is higher in case of continuum tangent modulus and many times higher with use of modified N-R method, initial stiffness method.en
dc.format12 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationApplied and Computational Mechanics. 2009, vol. 3, no. 1, p. 27-38.en
dc.identifier.issn1802-680X (Print)
dc.identifier.issn2336-1182 (Online)
dc.identifier.urihttp://www.kme.zcu.cz/acm/old_acm/full_papers/acm_vol3no1_p03.pdf
dc.identifier.urihttp://hdl.handle.net/11025/1563
dc.language.isoenen
dc.publisherUniversity of West Bohemiaen
dc.relation.ispartofseriesApplied and Computational Mechanicsen
dc.rights© 2009 University of West Bohemia. All rights reserved.en
dc.rights.accessopenAccessen
dc.subjectplastická deformacecs
dc.subjectmechanické napětícs
dc.subjectsimulace a modelovánícs
dc.subjectmetoda konečných prvkůcs
dc.subject.translatedplastic deformationen
dc.subject.translatedmechanical stressen
dc.subject.translatedsimulation and modellingen
dc.subject.translatedfinite element methoden
dc.titleTangent modulus in numerical integration of constitutive relations and its influence on convergence of N-R methoden
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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