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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-
Αναγνωριστικόhttps://doi.org/10.1023/A:1022679020242-
Γλώσσαen-
Μέγεθος31 pagesen
ΤίτλοςSolvability theory and projection methods for a class of singular variational inequalities: elastostatic unilateral contact applications en
ΔημιουργόςGoeleven, Den
ΔημιουργόςPanagiotopoulos, P. D., 1950-en
ΔημιουργόςSalmon, George, 1819-1904en
ΔημιουργόςStavroulakis Georgiosen
ΔημιουργόςΣταυρουλακης Γεωργιοςel
ΕκδότηςKluwer Academic Publishers-Plenum Publishersen
ΠερίληψηThe 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
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2015-10-11-
Ημερομηνία Δημοσίευσης1997-
Θεματική ΚατηγορίαGreek mathematicsen
Θεματική Κατηγορίαmathematics greeken
Θεματική Κατηγορίαgreek mathematicsen
Βιβλιογραφική ΑναφοράD. 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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