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Optimization with PDE Constraints
- 1.0430329 - MÚ 2015 RIV CH eng M - Monography Chapter
Giusti, S.M. - Sokolowski, J. - Stebel, Jan
Topology design of elastic structures for a contact model.
Optimization with PDE Constraints. Heidelberg: Springer, 2014 - (Hoppe, R.), s. 203-220. Lecture Notes in Computational Science and Engineering, 101. ISBN 978-3-319-08024-6
R&D Projects: GA ČR GA201/09/0917
Institutional support: RVO:67985840
Keywords : asymptotic analysis * frictionless contact problem * optimum design problems
Subject RIV: BA - General Mathematics
http://link.springer.com/chapter/10.1007/978-3-319-08025-3_6
Contact problems are very important in the engineering design and the correct interpretation of the physical phenomena, and its influence in this process, is of paramount importance for the engineers. In this paper we employ the topological derivative concept for optimum design problems in contact solid mechanics. A nonlinear contact model governed by a variational inequality is considered. Beside the theoretical developments, some computational examples are included. The influence of the parameters of the contact model in the optimal results for the structures is studied. The numerical results show that the proposed method of optimum design can be applied to a broad class of engineering problems.
Permanent Link: http://hdl.handle.net/11104/0235294
Number of the records: 1