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Algorithme des contraintes actives et contact unilatéral sans frottement

Georges Dumont 1 
1 SIAMES - Computer generated images, animation, modeling and simulation
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, INRIA Rennes
Abstract : We propose a method to take into account the unilateral contact problem based on an active set algorithm. This algorithm is developed inside the computation Code Aster. We first present a short bibliography on the subject. Then we develop the unilateral contact problem, the associated mode/ and some theorems of uniqueness and convergence. The Kuhn Tucker theorem is then discussed in the context of minimization with constraints. The algorithm is presented by mean of a theoretical algorithm on which we demonstrate a convergence property and a computational algorithm with a discussion on the method. The validation of the obtained results is made by comparing the numerical results to analytical ones on a Hertz like problem. The last part is dedicated to the description of an industrial case with an elastoplastic Law.
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https://hal.inria.fr/inria-00442362
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Submitted on : Friday, September 16, 2022 - 2:58:05 PM
Last modification on : Friday, September 16, 2022 - 3:08:21 PM

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Georges Dumont. Algorithme des contraintes actives et contact unilatéral sans frottement. Revue Européenne des Éléments Finis, 1995, 4 (1), pp.55-73. ⟨10.1080/12506559.1995.10511160⟩. ⟨inria-00442362⟩

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