Abstract
.In the context of metal forming, we present the modelling of multibody frictional contact problems in a non-linear kinematic frame. Non-linearities arise from the large displacements, the finite deformations and from material behaviour (plasticity). The contact problem is set as a linear complementarity problem solved by the Lemke method. The extension of the Lemke method to the multibody contact problem is given. These models are used to solve two tribological problems. The first one deals with the characterisation of friction as shearing off of two microscopic surfacic asperities. The second example concerns the modelling of a classical test. We analyse the influence of a variable friction coefficient depending on local contact conditions on the restraining forces.
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