A YIELD-LIMITED LAGRANGE MULTIPLIER FORMULATION FOR FRICTIONAL CONTACT
R.E. Jones and P. Papadopoulos Int. J. Num. Meth. Engrg., 48, pp. 1127-1149, (2000)

Abstract
A rigid-plastic analogy 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.


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