WIT Press


A Competitive Game Formulation For Large Scale Frictional Contact Problems

Price

Free (open access)

Paper DOI

10.2495/CON930421

Volume

1

Pages

8

Published

1993

Size

584 kb

Author(s)

C.D. Bisbos

Abstract

A competitive game formulation for large scale frictional contact problems C.D. Bisbos GR-54006 Thessaloniki, Greece ABSTRACT Using a Total Lagrangian framework the discretized frictional contact con- ditions are presented in a unified manner. The equilibrium equations are used to eliminate the displacement quantities yielding a force method - like formulation. Then the frictional contact problem is viewed as a competi- tive two person game, leading to an integrable Quasivariational Inequality (QVI), solvable by the variational section algorithm. Beeing directly paral- lelizable, this algorithm is best suited for large scale problems. INTRODUCTION Unilateral frictional contact problems is a highly active research area with several applications (see e.g. Duvaut and Lions [1], Panagiotopoulos [2], Kikuchi and Oden [3], Kalker [4], [5], Curnier [6]). In a quite influential paper Panagiotopoulos [7] has suggested a two - stage iterative technique where a normal contact pr

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