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High order FE and covariant description for contact problems
Author(s) -
Konyukhov Alexander,
Schweizerhof Karl
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610093
Subject(s) - covariant transformation , ansatz , finite element method , hertz , contact zone , space (punctuation) , order (exchange) , mathematics , geometry , mathematical analysis , physics , mathematical physics , computer science , geology , thermodynamics , quantum mechanics , geochemistry , finance , economics , operating system
The covariant contact description is applied to incorporate the treatment of contact problems into the high‐order finite element technique. A hierarchical enrichment of the Ansatz space allows to construct a contact layer finite element combining both an exact geometry for contact surfaces, and a mesh with linear Ansatz functions for the interior of the contacting bodies. Good correlation with the Hertz problem is shown even within a few contact elements for the contact zone, however, not in general. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)