Optimization with PDE Constraints

0430329 - MÚ 2015 RIV CH eng M - Část monografie knihy
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
Grant CEP: GA ČR GA201/09/0917
Institucionální podpora: RVO:67985840
Klíčová slova: asymptotic analysis * frictionless contact problem * optimum design problems
Kód oboru RIV: BA - Obecná matematika
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.
Trvalý link: http://hdl.handle.net/11104/0235294