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Complementarity methods for multibody friction contact problems in finite deformations

Abstract : This paper deals with the frictional contact occurring between deformable elastoplastic bodies subjected to large displacements and finite deformations. Starting from a standard slave=master formulation we have developed a symmetrical formulation with which the unilateral contact conditions and the friction law are satisfied for each body. From the continuum equations, the discretized frictional contact problem is set as a complementarity problem and solved using Lemke's mathematical programming method. The efficiency of the method is illustrated in the case of several examples.
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https://hal.archives-ouvertes.fr/hal-01297284
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Patrick Chabrand, Olivier Chertier, Frédéric Dubois. Complementarity methods for multibody friction contact problems in finite deformations. International Journal for Numerical Methods in Engineering, Wiley, 2001, ⟨10.1002/nme.170⟩. ⟨hal-01297284⟩

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