Problems of frictional contact in large transformations: From continuous to discrete;Problèmes de contact frottant en grandes transformations: du continu au discret

Revue Europeenne des Elements

Volumn 9, Issue 1-3, 2000, Pages 243-261

  Ben Dhia, Hachmi ^a   Vautier, Isabelle ^b   Zarroug, Malek ^a  

^a ECOLE CENTRALE PARIS   (France)

^b Electricité de France DER MMN   (France)

Author keywords

Contact; Contact elements; Friction; Hybrid formulation

Indexed keywords

CONTACTS (FLUID MECHANICS);

CONTACT ELEMENTS; FRICTIONAL CONTACT; HYBRID FORMULATIONS; THREE-DIMENSIONAL SOLIDS;

FRICTION;

EID: 33947658308     PISSN: 12506559     EISSN: None     Source Type: Journal    
DOI: 10.1080/12506559.2000.10511439     Document Type: Article

References (19)

1. ALART P., A. CURNIER, « A mixed formulation for frictional contact problems prone to Newton like solution methods », Comp. Meth. Appl. Mech. Engng., vol. 9, 1991, p. 353-375.
2. ARMERO F., PETÖCZ E., « Formulation and analysis of conserving algorithms for dynamic contact/impact problems. », Comput. Methods. Appl. Mech. Engrg., vol. 158, 1998, p. 269-300.
3. ARMERO F., PETÖCZ E., « A new dissipative time-stepping algorithm for frictional contact problems: formulation and analysis. », Comput. Methods. Appl. Mech. Engrg., vol. 179, 1999, p. 151-178.
4. BEN DHIA H., « Modelling and numerical approach of contact and dry friction in simulation of sheet metal forming », WCCM2, 1990, p. 779-782.
5. BEN DHIA. H., Numerical analysis of perturbed contact problems in Contact Mecanics, edited by M. Raous et al., Plenum Press, New York, 1995.
6. BEN DHIA H., DURVILLE D., « Calembour: An implicit method based on enriched kinematical thin plate model for sheet metal forming simulation », J. of Materials Processing Technology, vol. 50, 1995, p. 70-80.
7. BEN DHIA H., « Problèmes multi-échelles: la méthode Arlequin », C.R.Acad.Sc Série II, vol. 326, 1998, p. 899-904.
8. BEN DHIA. H., VAUTIER I., Une formulation pour traiter le contact frottement en 3D dans le Code-Aster, Rapport EDF HI-75/99/007/A, 1999.
9. CHRISTENSEN P.W, KLARBRING A., PANG J.S., STRÖMBERG, « Formulation and comparison of algorithms for frictional contact problems », Int. J. Numer. Meth. Engng., vol. 42, 1998, p. 145-173.
10. DUMONT G., « Algorithme de contraintes actives et contact unilatéral sans frottement », Revue européenne des éléments finis, vol. 4, no 1, 1995, p. 55-73.
11. HALLQUIST J.O., GOUDREAU G.L., BENSON D.J., « Sliding interfaces with contact-impact in large-scale Lagrangian computations. », Comput. Methods. Appl. Mech. Engrg., vol. 51, 1985, p. 107-137.
12. HE Q.C., CURNIER A., « Anisotropic dry friction between two orthotropic surfaces undergoing large displacement. », Eur.J.Mech., A/Solids, vol. 12, no 5, 1993, p. 631-666.
13. KLARBRING A., « Large displacement frictional contact: a continuum frame-worke for finite element discretization », Eur.J.Mech., A/Solids, vol. 14, no 2, 1995, p. 237-253.
14. PAPADOPOULOS. P, SOLBERG. J.M, « A Lagrange Multiplier Method for the Finite Element Solution of Frictionless Contact Problems », Mathl. Comput. Modelling, vol. 28, no 4-8, 1998, p. 373-384.
15. SIGNORINI A., « Sopra akune questioni di elastostatica », Atti della Societa Italiana per il Progresso delle Scienze, 1933.
16. SIMO J.C., WRIGGERS P., TAYLOR R.L., « A perturbed Lagrangian formulation for the finite element solution of contact problems », Comp. Meth. Appl. Mech. Engr., vol. 50, 1985.
17. SIMO J.C., LAURSEN T.A., « An augmented Lagrangian treatment of contact problems involving friction », Comp.& Struct, vol. 42, 1992, p. 97-116.
18. VAUTIER I., Contact unilatéral par des conditions cinématiques, Rapport EDF, HI-75/97/033/A, 1997.
19. VAUTIER I., Plaquette de la Version 4 du Code-Aster, Rapport EDF, HI-75/98/020, 1998.