论文信息 - Numerical Analysis of Quasi-Static Unilateral Contact Problems with Local Friction

Numerical Analysis of Quasi-Static Unilateral Contact Problems with Local Friction

A mixed finite element method is adopted to approximate the quasi-static unilateral contact problem with local Coulomb friction. The existence of a solution with bounds independent of the discretization parameter is obtained by an incremental scheme. This approach enables us to select a sequence of discrete solutions which converges strongly towards a solution of the quasi-static unilateral contact problem with Coulomb friction law.

Remi Rocca | Marius Cocou

[1] P. G. Ciarlet,et al. Basic error estimates for elliptic problems , 1991 .

[2] Jaroslav Haslinger,et al. Mixed variational formulation of unilateral problems , 1981, Nonlinear Analysis Theory and Applications.

[3] J. Jarusek. Contact problems with bounded friction. Coercive case , 1983 .

[4] E. Zeidler. Nonlinear functional analysis and its applications , 1988 .

[5] J. Haslinger,et al. Solution of Variational Inequalities in Mechanics , 1988 .

[6] Existence of a solution for a quasistatic problem of unilateral contact with local friction , 1999 .

[7] R. Temam,et al. Analyse convexe et problèmes variationnels , 1974 .

[8] Jaroslav Haslinger,et al. Approximation of the signorini problem with friction, obeying the coulomb law , 1983 .

[9] William W. Hager,et al. Error estimates for the finite element solution of variational inequalities , 1978 .

[10] R. Rocca. Analyse mathématique et numérique de problèmes quasi-statiques de contact unilatéral avec frottement local de Coulomb en élasticité , 2000 .