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 (permanent link):urn:nbn:de:hbz:386-kluedo-13308
Serie (Series number):Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (59)
Document Type:Report
Language of publication:English
Year of Completion:2004
Year of Publication:2004
Publishing Institute:Fraunhofer-Institut für Techno- und Wirtschaftsmathematik
Tag:asymptotic homogenization; contact problems
Faculties / Organisational entities:Fraunhofer (ITWM)
DDC-Cassification:510 Mathematik

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