On the adaptive finite element method of steady-state rolling contact for hyperelasticity in finite deformations

authored by: Guangdi Hu, Peter Wriggers
Abstract: In this paper, we present an adaptive finite element method for steady-state rolling contact in finite deformations along with a residual based a posteriori error estimator for rolling contact problem with Coulomb friction. A general formulation of rolling contact geometry is derived from the point of view of differential geometry. Solvability conditions for the rolling contact problems are discussed. We use Newton's method to solve variational equations derived from a penalty regularization of the finite element approximation of the rolling contact problem. We provide a numerical example to illustrate the method.
Organisation(s): Institute of Mechanics and Computational Mechanics
External Organisation(s): University of Toronto
Type: Article
Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 191
Pages: 1333-1348
No. of pages: 16
ISSN: 0045-7825
Publication date: 18.01.2002
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Mechanics of Materials, Mechanical Engineering, General Physics and Astronomy, Computer Science Applications
Electronic version(s): https://doi.org/10.1016/S0045-7825(01)00326-7 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"