Continuation of the static contact problem with Coulomb friction

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10132747" target="_blank" >RIV/00216208:11320/12:10132747 - isvavai.cz</a>
Result on the web
<a href="http://kmd.fp.tul.cz/sna/sna12.htm" target="_blank" >http://kmd.fp.tul.cz/sna/sna12.htm</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Continuation of the static contact problem with Coulomb friction
Original language description
Let be a linearly elastic body supported by a rigid foundation along the contact boundary. We consider the static contact problems with Coulomb friction. In particular, we will investigate a discrete version of this problem. This may be understood as FEM-approximation of the continuous problem. Under generic assumptions, there exists a solution for any data. A difficulty comes from the fact that the solution may not be unique. In order to find the non unique solutions, we explore continuation (path-following) techniques: Note that the classical continuation techniques fail, since the problem is not smooth. Nevertheless, it is piecewise-smooth and we can exploit this feature in the continuation algorithm.
Czech name
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Czech description
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Project
<a href="/en/project/GAP201%2F12%2F0671" target="_blank" >GAP201/12/0671: Variational and numerical analysis in nonsmooth continuum mechanics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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