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Quasidifferentiability in nonsmooth, nonconvex mechanics

Stavroulakis Georgios, L. N. Polyakova, Dem'yanov, Vladimir F

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URIhttp://purl.tuc.gr/dl/dias/61B1F307-5206-4E55-AA3F-DF720CD76F3A-
Identifierhttps://doi.org/10.1007/BF01100082-
Languageen-
Extent18 pagesen
TitleQuasidifferentiability in nonsmooth, nonconvex mechanicsen
CreatorStavroulakis Georgiosen
CreatorΣταυρουλακης Γεωργιοςel
Creator L. N. Polyakovaen
CreatorDem'yanov, Vladimir Fen
PublisherKluweren
Content SummaryNonconvex and nonsmooth optimization problems arise in advanced engineering analysis and structural analysis applications. In fact the set of inequality and complementarity relations that describe the structural analysis problem are generated as optimality conditions by the quasidifferential potential energy optimization problem. Thus new kind of variational expressions arise for these problems, which generalize the classical variational equations of smooth mechanics, the variational inequalities of convex, nonsmooth mechanics and give a solid, computationally efficient explication of hemivariational inequalities of nonconvex, nonsmooth mechanics. Moreover quasidifferential calculus and optimization software make this approach applicable for a large number of problems. The connection of quasidifferential optimization and nonsmooth, nonconvex mechanics is discussed in this paper. A number of representative examples from elastostatic analysis applications are treated in details. Numerical examples illustrate the theory. 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 Publication1995-
SubjectApplied mechanicsen
SubjectEngineering, Mechanicalen
Subjectmechanics applieden
Subjectapplied mechanicsen
Subjectengineering mechanicalen
Bibliographic CitationG. E. Stavroulakis, V. F. Dem'yanov, L. N. Polyakova ,"Quasidifferentiability in nonsmooth, nonconvex mechanics," J. of Global Opt.,vol. 6, no. 4, pp. 327-345,Ju. 1995.doi:10.1007/BF01100082en

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