Three dimensional finite element computations for frictional contact problems with on-assiaciated sliding rule
type de publication |
article dans une revue internationale avec comité de lecture |
date de publication |
2004 |
auteur(s) |
Hjiaj Mohammed; Feng Z.Q.; De Saxce Géry; Mroz Zénon |
journal (abréviation) |
International Journal for Numerical Methods in Engineering (Int. J. Numer. Meth. Engng) |
volume (numéro) |
60 (12) |
| |
pages |
2045 – 2076 |
résumé |
This paper presents an algorithm for solving anisotropic frictional contact problems where the sliding rule is non-associated.The algorithm is based on a variational formulation of the complex interface model that combine the classical unilateral contact law and an anisotropic friction model with a non-associated slip rule. Both the friction condition and the sliding potential are elliptical and have the same principal axes but with different semi-axes ratio. The frictional contact law and its inverse are derived from a single non-differentiable scalar-valued function, called a bi-potential. The convexity properties of the bi-potential permit to associate stationary principles with initial/boundary value problems. With the present formulation, the time-integration of the frictional contact law takes the form of a projection onto a convex set and only one predictor-corrector step addresses all cases (sticking, sliding, no-contact). A solution algorithm is presented and tested on a simple example that shows the strong influence of the slip rule on the frictional behaviour. |
mots clés |
anisotropic friction condition, non-associated sliding rule, variational formulation, bi-potential, time stepping, augmented Lagrangian technique |
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