Research Article

A yield-limited Lagrange multiplier formulation for frictional contact

  1. Reese E. Jones†,
  2. Panayiotis Papadopoulos*

Article first published online: 24 MAY 2000

DOI: 10.1002/(SICI)1097-0207(20000720)48:8<1127::AID-NME937>3.0.CO;2-C

Issue

International Journal for Numerical Methods in Engineering

International Journal for Numerical Methods in Engineering

Volume 48, Issue 8, pages 1127–1149, 20 July 2000

Additional Information

How to Cite

Jones, R. E. and Papadopoulos, P. (2000), A yield-limited Lagrange multiplier formulation for frictional contact. International Journal for Numerical Methods in Engineering, 48: 1127–1149. doi: 10.1002/(SICI)1097-0207(20000720)48:8<1127::AID-NME937>3.0.CO;2-C

Author Information

  1. Department of Mechanical Engineering, University of California, Berkeley, CA 94720-1740, U.S.A.

  1. †

    Currently at Sandia National Laboratory, California, U.S.A.

*Department of Mechanical Engineering, University of California, Berkeley, 6131 Etchevery Hall, Berkeley, CA 94720-1740, U.S.A.

Publication History

  1. Issue published online: 24 MAY 2000
  2. Article first published online: 24 MAY 2000
  3. Manuscript Revised: 8 JUN 1999
  4. Manuscript Received: 22 FEB 1999

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Keywords:

  • finite element method;
  • contact mechanics;
  • friction

Abstract

An analogy with rigid plasticity is used to develop a constitutive framework for quasi-static frictional contact between finitely deforming solids. Within this setting, a Lagrange multiplier method is used to impose a sharp distinction between stick and slip. The scope of the multipliers is limited by a constitutively defined ‘yield’ function and a finite element-based predictor–corrector scheme is employed to efficiently determine the regions of stick and slip and the associated tractions. Selected simulations of planar quasi-static problems are presented to validate the method and illustrate its capabilities. Copyright © 2000 John Wiley & Sons, Ltd.

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