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Institutional Repository [SANDBOX]
Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/19CAA3F9-26FA-49CE-8FF4-407F39550716 | - |
| Identifier | https://doi.org/10.1023/A:1022679020242 | - |
| Language | en | - |
| Extent | 31 pages | en |
| Title | Solvability theory and projection methods for a class of singular variational inequalities: elastostatic unilateral contact applications | en |
| Creator | Goeleven, D | en |
| Creator | Panagiotopoulos, P. D., 1950- | en |
| Creator | Salmon, George, 1819-1904 | en |
| Creator | Stavroulakis Georgios | en |
| Creator | Σταυρουλακης Γεωργιος | el |
| Publisher | Kluwer Academic Publishers-Plenum Publishers | en |
| Content Summary | The 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 Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2015-10-11 | - |
| Date of Publication | 1997 | - |
| Subject | Greek mathematics | en |
| Subject | mathematics greek | en |
| Subject | greek mathematics | en |
| Bibliographic Citation | D. 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:1022679020242 | en |
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