TY  - RPRT
A1  - Orlik, J.
T1  - Homogenization for contact problems with periodically rough surfaces
N2  - We consider the contact of two elastic bodies with rough surfaces at the interface. The size of the micro­peaks and ­valleys is very small compared with the macrosize of the bodies’ domains. This makes the direct application of the FEM for the calculation of the contact problem prohibitively costly. A method is developed that allows deriving a macrocontact condition on the interface. The method involves the two­scale asymptotic homogenization procedure that takes into account the microgeometry of the interface layer and the stiffnesses of materials of both domains. The macrocontact condition can then be used in a FEM model for the contact problem on the macrolevel. The averaged contact stiffness obtained allows the replacement of the interface layer in the macromodel by the macrocontact condition.
T3  - Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) - 59 
KW  - asymptotic homogenization
KW  - contact problems
Y1  - 2004
UR  - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1518
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-13308
ER  -