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Verification of an anisotropic Coulomb adhesion‐friction law for contact surfaces with periodic structure
Author(s) -
Schmied Christoph,
Konyukhov Alexander,
Schweizerhof Karl
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010100
Subject(s) - anisotropy , discretization , coulomb's law , tensor (intrinsic definition) , classical mechanics , coulomb , surface (topology) , homogenization (climate) , constitutive equation , mechanics , physics , mathematics , geometry , mathematical analysis , finite element method , thermodynamics , quantum mechanics , electron , biodiversity , ecology , biology
Sliding friction forces and so‐called adhesion forces are the main mechanical characteristics to describe contact interaction. Both together are representing 2D surface constitutive laws in analogy to e.g. elasto‐plasticity for 3D continua. The classical model to generalize the Coulomb friction law into anisotropic domains is to introduce an anisotropic friction tensor. Michalowski and Mroz in [1] proposed the structure of the friction tensor considering the sliding of a rigid block on an inclined surface. Zmitrowicz in [2] developed the theoretical basis for the structure of the friction tensor on symmetry groups for the tensor. The current contribution is aimed at verification of this modeling process based on a homogenization procedure for a very fine discretization representing the exact structure of the surface. The validation issue with realistic experiments given in [4] is discussed as well. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)