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On a geometrically exact theory for contact interactions
Author(s) -
Konyukhov Alexander,
Schweizerhof Karl
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110450
Subject(s) - covariant transformation , point (geometry) , surface (topology) , line (geometry) , focus (optics) , geometry , development (topology) , physics , mathematics , mathematical analysis , optics
Abstract The focus of the contribution is on the development of the unified geometrical formulation of contact algorithms in a covariant form for various geometrical situations of contacting bodies leading to contact pairs: surface‐to‐surface, line‐to‐surface, point‐to‐surface, line‐to‐line, point‐to‐line, point‐to‐point. The computational contact algorithm will be considered in accordance with the geometry of contact bodies in a covariant form. This combination forms a geometrically exact theory of contact interaction, see [1]. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)