Finite element methods for contact problems with friction

Tribology International

Volumn 29, Issue 8, 1996, Pages 651-658

  Wriggers, P ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Dry friction; Finite element method; Large deformations

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONTACTS (FLUID MECHANICS); DEFORMATION; FINITE ELEMENT METHOD; INTERFACES (MATERIALS); STRESSES;

CONTACT INTERFACE; DRY FRICTION; FRICTIONAL CONTACT; LARGE DEFORMATIONS; TANGENTIAL STRESS COMPONENTS;

FRICTION;

EID: 0030551229     PISSN: 0301679X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0301-679X(96)00011-4     Document Type: Article

References (19)

1. Kragelsky I.V., Dobychin M.N. and Kombalov V.S. Friction and Wear - Calculation Methods, (Translated from the Russian by N. Standen), Pergamon Press, 1982
2. Woo K.L. and Thomas T.R. Contact of rough surfaces: a review of experimental works. Wear 1980, 58, 331-340
3. Oden J.T. and Martins J.A.C. Models and computational methods for dynamic friction phenomena. Comp. Meth. Appl. Mech. Engng. 1986, 52, 527-634
4. Tabor D. Friction - The present state of our understanding. J. Lubr. Technol. 1981, 103, 169-179
5. Michalowski R. and Mroz Z. Associated and non-associated sliding rules in contact friction problems. Arch. Mech. 1978, 30, 259-276
6. Curnier A.A. Theory of friction. Int. J. Solids Struct. 1984, 20, 637-647
7. Fredriksson B. Finite element solution of surface nonlinearities in structural mechanics with special emphasis to contact and fracture mechanics problems. Comput. Struct. 1979, 6, 281-290
8. Wriggers P., Vu Van T. and Stein E. Finite element formulation of large deformation impact-contact problems with friction. Comput. Struct. 1990, 37, 319-331
9. Simo J.C. and Taylor R.L. Consistent tangent operators for rate-independant elastoplasticity. Comp. Meth. Appl. Mech. Engng. 1985, 48, 101-118
10. Wriggers P. On consistent tangent matrices for frictional contact problems. In Proceedings of NUMETA 87 Conference (Eds. J. Middleton and G. N. Pande) Nijhoff, Dorbrecht, 1987
11. Wriggers P. and Zavarise G. On the application of augmented Lagrangian techniques for nonlinear constitutive laws in contact interfaces. Comm. Num. Meth. Engng. 1993, 9, 815-824
12. Wriggers P. and Simo J.C. A note on tangent stiffness for fully nonlinear contact problems. Comm. Appl. Num. Meth. 1985, 1, 199-203
13. Laursen T.A. and Simo J.C. A continuum-based finite element formulation for the implicit solution of multibody, large deformation frictional contact problems. Int. J. Num. Meth. Engng. 1993, 36, 3451-3485
14. Wriggers P. and Miehe C. Contact constraints within coupled thermomechanical analysis - a finite element model. Comp. Meth. Appl. Mech. Engng. 1994, 113, 301-319
15. Song S. and Yovanovich M.M. Explicit relative contact pressure expression: Dependence upon surface roughness parameters and Vickers microhardness coefficients. AIAA Paper 87-0152, 1987
16. Alart P. and Curnier A. A mixed formulation for frictional contact problems prone to Newton like solution methods. Comp. Meth. Appl. Mech. Engng. 1991, 92, 353-375
17. Laursen T.A. and Simo J.C. Algorithmic symmetrization of Coulomb frictional problems using augmented Lagrangians. Comp. Meth. Appl. Mech. Engng. 1993, 108, 133-146
18. Zienkiewicz O.C. and Taylor R.L. The Finite Element Method, 4th edn., McGraw-Hill, London, 1989
19. Giannokopoulos A.E. The return mapping method for the integration of friction constitutive relations. Comput. Struct. 1989, 32, 157-168