## Homogenization for contact problems with periodically rough surfaces

• 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.

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Author: J. Orlik urn:nbn:de:hbz:386-kluedo-13308 Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (59) Report English 2004 2004 Fraunhofer-Institut für Techno- und Wirtschaftsmathematik 2004/02/17 asymptotic homogenization; contact problems Fraunhofer (ITWM) 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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