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Modeling of anisotropic surfaces within a covariant contact description
Author(s) -
Konyukhov Alexander,
Schweizerhof Karl
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510187
Subject(s) - covariant transformation , linearization , domain (mathematical analysis) , surface (topology) , anisotropy , point (geometry) , projection (relational algebra) , deformation (meteorology) , kinematics , mathematics , coordinate system , geometry , mathematical analysis , pure mathematics , physics , classical mechanics , nonlinear system , algorithm , optics , quantum mechanics , meteorology
Within covariant contact descriptions all necessary characteristics, such as kinematics of deformation and the weak form, as well as all necessary operations, such as linearization and derivation of the finite difference scheme, are described in the specially defined local surface coordinate system, which is related to the closest point projection procedure. This description allows to generalize all contact characteristics into an anisotropic domain for both adhesion and sliding behavior in a straightforward form. The model can be used to describe the average behavior of machined surfaces. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)