论文信息 - The mortar finite element method for contact problems

The mortar finite element method for contact problems

The purpose of this paper is to describe a domain decomposition technique: the mortar finite element method applied to contact problems between two elastic bodies. This approach allows the use of no-matching grids and to glue different discretizations across the contact zone in an optimal way, at least for bilateral contact. We present also an adaptation of this method to unilateral contact problems.

[1] C. Bernardi,et al. A New Nonconforming Approach to Domain Decomposition : The Mortar Element Method , 1994 .

[2] Faker Ben Belgacem,et al. Approximation du problme de contact unilatral par la mthode des lments finis avec joints , 1997 .

[3] J. Oden,et al. Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods , 1987 .

[4] J. Lions,et al. Les inéquations en mécanique et en physique , 1973 .

[5] Yvon Maday,et al. Coupling finite element and spectral methods: first results , 1990 .

[6] Faker Ben Belgacem. Discrétisations 3D non conformes par la méthode de décomposition de domaine des éléments avec joints : analyse mathématique et mise en oeuvre pour le problème de Poisson , 1993 .

[7] J. Lions,et al. Problèmes aux limites non homogènes (VI) , 1963 .

[8] M. Cocu,et al. Existence of solutions of Signorini problems with friction , 1984 .

[9] Yvon Maday,et al. A spectral element methodology tuned to parallel implementations , 1994 .

[10] Signorini problem with Coulomb's law of friction. Shape optimization in contact problems , 1992 .