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Journal Articles Quarterly Journal of Mechanics and Applied Mathematics Year : 2011

A Well-Posed Semi-Discretization of Elastodynamic Contact Problems with Friction

Abstract

It has been shown numerically in previous works that the well-posedness of the spatial semi-discretization plays a crucial role in obtaining stable numerical schemes for elastody-namic frictionless contact problems. The purpose of this paper is thus to introduce a mass redistribution method adapted to elastodynamic contact with Coulomb friction that guarantees the well-posedness of the semi-discrete problem. It is shown that a differentiated treatment has to be applied to the friction condition. Some numerical tests illustrating the gain in stability for the midpoint time integration scheme are presented. They suggest also that, although the differentiated treatment is necessary for the well-posedness, it is not always mandatory from the numerical viewpoint.
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hal-01577746 , version 1 (28-08-2017)

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Tomas Ligursky, Yves Renard. A Well-Posed Semi-Discretization of Elastodynamic Contact Problems with Friction. Quarterly Journal of Mechanics and Applied Mathematics, 2011, 64 (2), pp.215-238. ⟨10.1093/qjmam/hbr004⟩. ⟨hal-01577746⟩
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