Abstract
For the numerical simulations of contact problems involving the action of a rigid tool on a deformable structure, the analytical descriptions of the surface of the rigid body which are those actually used in these simulations, are generally approximations of the desired shape. These approximations or perturbations of the data introduce additional sources of numerical errors. Many different reasons, such as CAD descriptions, meshing of the surface of the rigid body, industrial elaboration of this body or numerical integrations of the contact laws, lead to the analysis of perturbed contact problems. This remark has motivated the work reported in this paper.
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