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Existence for an energetic problem in contact mechanics with dry friction
Author(s) -
Schmid Florian
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810753
Subject(s) - dry friction , obstacle , coulomb friction , coulomb , kinetic energy , classical mechanics , mechanics , static friction , surface (topology) , inertial frame of reference , focus (optics) , coulomb's law , friction coefficient , physics , mathematics , materials science , geometry , law , nonlinear system , quantum mechanics , optics , political science , composite material , electron
A simplified contact problem with dry friction is considered for a non–linear elastic system with two degrees of freedom. The simplification consits in neglecting kinetic energies or equivalently inertial forces. By proving existence it is shown under which conditions such simplifications are justifiable. The main focus is on the influence of a curved obstacle surface on the question of existence. The friction is modelled according to the Coulomb law and the coefficient of friction may vary along the obstacle surface. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)