Normal compliance contact models with finite interpenetration

0389746 - MÚ 2013 RIV DE eng J - Článek v odborném periodiku
Eck, Ch. - Jarušek, Jiří - Stará, J.
Normal compliance contact models with finite interpenetration.
Archive for Rational Mechanics and Analysis. Roč. 208, č. 1 (2013), s. 25-57. ISSN 0003-9527. E-ISSN 1432-0673
Grant CEP: GA AV ČR IAA100750802; GA ČR(CZ) GAP201/12/0671
Institucionální podpora: RVO:67985840
Klíčová slova: compliance models * approximation
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 2.022, rok: 2013
http://link.springer.com/article/10.1007%2Fs00205-012-0602-8#

We study contact problems with contact models of normal compliance type, where the compliance function tends to infinity for a given finite interpenetration. Such models are physically more realistic than standard normal compliance models, where the interpenetration is not restricted, because the interpenetration is typically justified by deformations of microscopic asperities of the surface; therefore it should not exceed a certain value that corresponds to a complete flattening of the asperities. The model can be interpreted as intermediate between the usual normal compliance models and the unilateral contact condition of Signorini type. For the static problem without friction, we prove the existence and uniqueness of solutions and establish the equivalence to an optimization problem. For the static problem with Coulomb friction, we show the existence of a solution.
Trvalý link: http://hdl.handle.net/11104/0218613