title: Mapping of three-dimensional contact problems into one dimension.
abstract: We consider a contact problem between two three-dimensional bodies with randomly rough surfaces and show how this problem can be reduced from three to one dimension without loss of essential contact properties. This means a huge reduction of computation time and allows the simulation of multiscale systems to include essentially all of the scales from nanometer to macroscopic in a single model.
authors.affiliation: Institute of Mechanics, Technische Universität Berlin, D-10623 Berlin, Germany.
authors.forename: Thomas
authors.initials: T
authors.lastname: Geike
authors.forename: Valentin L
authors.initials: VL
authors.lastname: Popov