A perturbed Lagrangian formulation for the finite element solution of contact problems

authored by
Juan C. Simo, Peter Wriggers, Robert L. Taylor
Abstract

Making use of a perturbed Lagrangian formulation, a finite element procedure for contact problems is developed for the general case in which node-to-node contact no longer holds. The proposed procedure leads naturally to a discretization of the contact interface into contact segments. Within the context of a bilinear interpolation for the displacement field, a mixed finite element approximation is introduced by assuming discontinuous contact pressure, constant on the contact segment. Because of this piece-wise constant approximation, the gap function enters into the formulation in an 'average' sense instead of through a point-wise definition. Numerical examples are presented that illustrate the performance of the proposed procedure.

External Organisation(s)
University of California at Berkeley
Type
Article
Journal
Computer Methods in Applied Mechanics and Engineering
Volume
50
Pages
163-180
No. of pages
18
ISSN
0045-7825
Publication date
08.1985
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Computational Mechanics, Mechanics of Materials, Mechanical Engineering, Physics and Astronomy(all), Computer Science Applications
Electronic version(s)
https://doi.org/10.1016/0045-7825(85)90088-X (Access: Unknown)
 

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