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A finite element solution method for contact problems with friction
Author(s) -
Chandrasekaran N.,
Haisler W. E.,
Goforth R. E.
Publication year - 1987
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620240302
Subject(s) - slipping , finite element method , a priori and a posteriori , compatibility (geochemistry) , contactor , mathematics , unilateral contact , mathematical optimization , mathematical analysis , structural engineering , geometry , engineering , physics , philosophy , power (physics) , epistemology , quantum mechanics , chemical engineering
A new finite element solution method for the analysis of frictional contact problems is presented. The contact problem is solved by imposing geometric constraints on the pseudo equilibrium configuration, defined as a configuration at which the compatibility conditions are violated. The algorithm does not require any a priori knowledge of the pairs of contactor nodes or segments. The contact condition of sticking, slipping, rolling or tension release is determined from the relative magnitudes of the normal and tangential global nodal forces. Contact iterations are in general found to converge within one or two iterations. The analysis method is applied to selected problems to illustrate the applicability of the solution procedure.