Modélisation numérique du contact æil-trépan

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Abstract
This paper deals with the numerical modelling of the trepanation of a human eye. Our purpose here is to predict the final shape of the hole. Two problems are treated in large deformations: the deformation of eye under the effect of contact, of the aspiration pressure and of the reaction of supporting cushion, and the prediction of the time evolution of the incision. The contact contraints are treated by a penalty method. The problem of the incision is a problem of evolution which is discretized by as Euler scheme. The progression of the blade requires a new mesh and new numérotation of the nodes. Finally, the resulting nonlinear problems are solved by a continuation algorithm based on the Newton's method.