This article is a U.S. Government work and is in the public domain in the U.S.A.
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Research Article
A novel three-dimensional contact finite element based on smooth pressure interpolations†
Article first published online: 5 APR 2001
DOI: 10.1002/nme.163
This article is a U.S. Government work and is in the public domain in the U.S.A. Published in 2001 by John Wiley & Sons, Ltd.
Issue
1097-0207/asset/cover.gif?v=1&s=5d3c2f985f53bee38848d738727a7cada83b15d6 "International Journal for Numerical Methods in Engineering")
International Journal for Numerical Methods in Engineering
Volume 51, Issue 7, pages 791–811, 10 July 2001
Additional Information
How to Cite
Jones, R. E. and Papadopoulos, P. (2001), A novel three-dimensional contact finite element based on smooth pressure interpolations. International Journal for Numerical Methods in Engineering, 51: 791–811. doi: 10.1002/nme.163
- †
Publication History
- Issue published online: 5 APR 2001
- Article first published online: 5 APR 2001
- Manuscript Revised: 27 JUL 2000
- Manuscript Received: 29 FEB 2000
Funded by
- Engineering Sciences Research Foundation, Sandia National Laboratories. Grant Number: DE-ACO4-94AL85000
- Abstract
- References
- Cited By
Keywords:
- finite element method;
- three-dimensional contact;
- Lagrange multipliers
Abstract
This article proposes a new three-dimensional contact finite element which employs continuous and weakly coupled pressure interpolations on each of the interacting boundaries. The resulting formulation circumvents the geometric bias of one-pass methods, as well as the surface locking of traditional two-pass node-on-surface methods. A Lagrange multiplier implementation of the proposed element is validated for frictionless quasi-static contact by a series of numerical simulations. Published in 2001 by John Wiley & Sons, Ltd.