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Tensile‐bending coupling in the limitting 1D beam equations resulting from the frictional contact
Author(s) -
Bare Zoufine,
Orlik Julia
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310178
Subject(s) - decoupling (probability) , scaling , bending , beam (structure) , ultimate tensile strength , coupling (piping) , materials science , displacement (psychology) , pure bending , tension (geology) , unilateral contact , mechanics , work (physics) , structural engineering , classical mechanics , physics , composite material , mathematics , engineering , finite element method , geometry , thermodynamics , psychology , control engineering , psychotherapist
The asymptotic dimension reduction for beam contact problems without friction leads to decoupled ODE systems in the longitudinal variable, see [4]. This decoupling is due to the fact that friction is not taken into account. In this work we extend [2] by an alternative scaling of the tensile force in the 3D formulation that permits us to reduce the dimension of a contact problem with friction in tensile direction, too. The tension and the bending component in the direction of the contact normal are coupled due to the friction. The coupling of the displacement components is illustrated by a numerical example. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)