Premium
Description for smooth contact conditions based on the internal geometry of contact surfaces
Author(s) -
Konyukhov Alexander,
Schweizerhof Karl
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310417
Subject(s) - tangent , curvature , linearization , deformation (meteorology) , simple (philosophy) , geometry , matrix (chemical analysis) , contact geometry , contact force , mathematics , mathematical analysis , classical mechanics , physics , materials science , nonlinear system , philosophy , epistemology , quantum mechanics , meteorology , composite material
A kinematical approach, based on the consideration of the contact conditions in the local coordinate system, is proposed for the contact description and for consistent linearization. This leads to a simple structure of the tangent matrix, which is subdivided into main, rotational and curvature parts. Various alternatives neglecting parts of the contact tangent matrix are considered. Representative examples show the effectiveness of the proposed approach for contact problems with arbitrary large deformation.