Contact models and numerical methods for metal forming processes
Keywords:
friction, contact, variable friction coefficient, surface asperity deformationAbstract
The aim of the present study was first, on the macroscopic scale, to investigate the use of dynamic friction models in the analysis of tribological devices and secondly, on the microscopic scale, to analyse the shear off of two surface asperities. The effects of the macroscopic model which was found to fit a Stribeck curve will be discussed. The results will be compared with those obtained in a study performed with a constant friction coefficient. The microscopic analysis is the first step in a study of friction in terms of the plastic deformation of surface asperities. From the numerical point of view, methods used to account for the frictional contact problems in both contexts, those involving the contact occurring between rigid and deformable bodies and between two deformable bodies will be presented in detail.
Downloads
References
Carleer, B.D., “Finite element analysis of deep drawing”, PhD-Thesis, University of Twente,
The Netherlands, 1997.
Chabrand P., Dubois F., Raous M., “Various numerical methods for solving unilateral contact
problems with friction”, Mathl Comput. Modelling, vol. 28, 1998, p. 97-108.
Chabrand P., Dubois F., Graillet D., Boman R., Ponthot J.P., “Numerical simulation of
tribological devices used as a set of benchmarks for comparing contact algorithms”,
submitted for publication.
Chabrand P., Chertier O., “Variable friction coefficient model in deep drawing”, In T. Atlan
(Ed.), Advanced Technology of Plasticity 1996, Colombus, Ohio, USA, p. 857-860.
Chabrand P., Dubois F., Gelin J.C., “Modelling drawbeads in sheet metal forming”, Int. J. of
Mech. Sciences, vol. 24, 1996, p. 59-77.
Chabrand P., Chertier O., Dubois F., “Complementarity methods for multibody friction
problems in finite deformations”, Int. J. Numer. Meth. Engng, vol. 51, 2001, p. 553-578.
Chertier O., Contact et frottement entre solides déformables en grandes déformations, Ph.D.
Thesis, Université de la Méditerranée, 1997, Marseille.
Halquist J.O., Goudreau G.L., Benson D.J., “Sliding interfaces with contact-impact in largescale
lagrangian computations”, Comp. Meth. In Appl. Mech. And Engng, vol. 51, 1985,
p. 107-137.
Klarbring A., Bjorkman G., “A mathematical programming approach to contact problem with
friction and varying contact surface”, Computers and Structures, vol. 30, 1988, p. 1185-
Martinet F., Chabrand P., “Application of ALE finite elements methods to a lubricated friction
model in sheet metal forming”, Int. J. of Solids and Structures, vol. 37, 2000, p. 4005-
Simo J.C., Miehe C., “Associative coupled thermoplasticity at finite strains : formulations,
numerical analysis and implementations ”, Comp. Meth. In Appl. Mech. And Engng,
vol. 98, 1992, p. 41-104.
Simo J.C., Taylor R.L., “Consistent tangent operators for rate-independant elastoplasticity”,
Comp. Meth. In Appl. Mech. And Engng, vol. 48, 1985, p. 101-118.