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Genericity analysis for path-following methods. Application in unilateral contact elastostatics

Stavroulakis Georgios, Rohde, Armin, 1955-

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URIhttp://purl.tuc.gr/dl/dias/6F2BFBE9-3021-4375-A213-066F8AED884E-
Identifierhttps://doi.org/10.1002/zamm.19970771010-
Languageen-
Extent14 pagesen
TitleGenericity analysis for path-following methods. Application in unilateral contact elastostaticsen
CreatorStavroulakis Georgiosen
CreatorΣταυρουλακης Γεωργιοςel
CreatorRohde, Armin, 1955-en
PublisherWILEY-VCH Verlag GmbH & Co. KGaA, Weinheimen
Content SummaryGenericity results for sparse parametric optimization problems with equality and inequality constraints are obtained in this paper. Their impact on path-following (e.g. load incrementation) methods for discretized elastostatic analysis problems with unilateral contact relations are considered in this paper. For the sparse problems which arise after a finite element method discretization, generically appearing singularities along the path of solutions are classified. Perturbations involving only a minimal number of parameters are shown to be sufficient to guarantee genericity. Stability and uniqueness questions for the solution along the path are examined in this way. These results can be used for the solution of inequality mechanics (unilateral) problems by means of load or displacement incrementation techniques; in particular, the choice of appropriate approximation (e.g. order of finite elements) and of the solution algorithm can be based on the results presented here.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-10-11-
Date of Publication1997-
SubjectApplied mechanicsen
SubjectEngineering, Mechanicalen
Subjectmechanics applieden
Subjectapplied mechanicsen
Subjectengineering mechanicalen
SubjectAlgorithm of Eucliden
SubjectContinued divisionen
SubjectDivision, Continueden
SubjectEuclid algorithmen
SubjectEuclidian algorithmen
SubjectEuclid's algorithmen
Subjecteuclidean algorithmen
Subjectalgorithm of eucliden
Subjectcontinued divisionen
Subjectdivision continueden
Subjecteuclid algorithmen
Subjecteuclidian algorithmen
Subjecteuclids algorithmen
Bibliographic CitationA. Rohde, G.E. Stavroulakis,"Genericity analysis for path-following methods. Application in unilateral contact elastostatics,"J.of App. Math. and Mechanics ,vol. 77, no. 10, ppp. 777–790, 1997.doi:10.1002/zamm.19970771010en

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