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Solvability theory and projection methods for a class of singular variational inequalities: elastostatic unilateral contact applications

Goeleven, D, Panagiotopoulos, P. D., 1950-, Salmon, George, 1819-1904, Stavroulakis Georgios

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URIhttp://purl.tuc.gr/dl/dias/19CAA3F9-26FA-49CE-8FF4-407F39550716-
Identifierhttps://doi.org/10.1023/A:1022679020242-
Languageen-
Extent31 pagesen
TitleSolvability theory and projection methods for a class of singular variational inequalities: elastostatic unilateral contact applications en
CreatorGoeleven, Den
CreatorPanagiotopoulos, P. D., 1950-en
CreatorSalmon, George, 1819-1904en
CreatorStavroulakis Georgiosen
CreatorΣταυρουλακης Γεωργιοςel
PublisherKluwer Academic Publishers-Plenum Publishersen
Content SummaryThe mathematical modeling of engineering structures containing members capable of transmitting only certain type of stresses or subjected to noninterpenetration conditions along their boundaries leads generally to variational inequalities of the form (P) u∈C:⟨Mu−q,v−u⟩⩾0, ∀v∈C, where C is a closed convex set of RN (kinematically admissible set), q∈RN (loading strain vector), and M∈RN×N (stiffness matrix). If rigid body displacements and rotations cannot be excluded from these applications, then the resulting matrix M is singular and serious mathematical difficulties occur. The aim of this paper is to discuss the existence and the numerical computation of the solutions of problem (P) for the class of cocoercive matrices. Our theoretical results are applied to two concrete engineering problems: the unilateral cantilever problem and the elastic stamp problem.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-
SubjectGreek mathematicsen
Subjectmathematics greeken
Subjectgreek mathematicsen
Bibliographic CitationD. Goeleven, G. E. Stavroulakis, G. Salmon, P. D. Panagiotopoulos ,"Solvability theory and projection methods for a class of singular variational inequalities: elastostatic unilateral contact applications ," J. of Opt. Theory and Appl., vol. 95, no. 2, pp, 263-293, Nov. 1997.doi:10.1023/A:1022679020242en

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