000014138 001__ 14138
000014138 005__ 20161115100142.0
000014138 04107 $$aeng
000014138 046__ $$k2016-08-21
000014138 100__ $$aMyśliński, Andrzej
000014138 24500 $$aTopology optimization of contact problems using Cahn- Hilliard regularization

000014138 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014138 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014138 506__ $$arestricted
000014138 520__ $$2eng$$aThe paper is concerned with the topology optimization of elastic bodies in unilateral contact with a given friction. The aim of the optimization problem is to find such distribution of the material density function to minimize the normal contact stress. The phase field approach is used to analyze and solve numerically this optimization problem. The original cost functional is regularized using GinzburgLandau free energy functional including the surface and bulk energy terms. These terms allow to control global perimeter constraint and the occurrence of the intermediate solution values. The Lagrangian approach is used to calculate the derivative of the regularized cost functional and to formulate a necessary optimality condition. The optimal topology is obtained as the steady state of the phase transition governed by modified Cahn-Hilliard equation. The finite difference and finite element methods are used as the discretization methods. Numerical examples are provided and discussed.

000014138 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014138 653__ $$a

000014138 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014138 720__ $$aMyśliński, Andrzej
000014138 8560_ $$ffischerc@itam.cas.cz
000014138 8564_ $$s139328$$uhttps://invenio.itam.cas.cz/record/14138/files/PO.MS06-1.07.45.pdf$$yOriginal version of the author's contribution as presented on CD,  page 392, code PO.MS06-1.07.45
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000014138 962__ $$r13812
000014138 980__ $$aPAPER