Static semicoercive normal compliance contact problem with limited interpenetration

0448796 - MÚ 2016 RIV CH eng J - Journal Article
Jarušek, Jiří
Static semicoercive normal compliance contact problem with limited interpenetration.
Zeitschrift für angewandte Mathematik und Physik. Roč. 66, č. 5 (2015), s. 2161-2172. ISSN 0044-2275. E-ISSN 1420-9039
R&D Projects: GA ČR(CZ) GAP201/12/0671
Institutional support: RVO:67985840
Keywords : contact * limited interpenetration * friction
Subject RIV: BA - General Mathematics
Impact factor: 1.560, year: 2015
http://link.springer.com/article/10.1007%2Fs00033-015-0539-5

For the static contact problem with limited interpenetration with obstacle, the existence of solutions is proved. The frictionless case is studied at first, and then the problem with Coulomb friction is investigated as well. The body has nowhere a Dirichlet boundary value condition prescribed. In both cases, if the prescribed depth of the interpenetration tends to 0, the solutions tend to a solution of the appropriate unilateral contact problem.
Permanent Link: http://hdl.handle.net/11104/0250405