BEM and FEM analysis of Signorini contact problems with friction

Computational Mechanics

Volumn 31, Issue 5, 2003, Pages 390-399

  Renaud, C ^a   Feng, Z Q ^a  

^a UNIVERSITÉ D EVRY VAL D ESSONNE   (France)

Author keywords

Boundary element method; Contact; Finite element method; Friction

Indexed keywords

BOUNDARY ELEMENT METHOD; ELECTROSTATICS; FINITE ELEMENT METHOD; FRICTION;

SIGNORINI CONTACT PROBLEMS;

CONTACTS (FLUID MECHANICS);

EID: 0141721620     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-003-0441-4     Document Type: Article

References (38)

1. Chan SH, Tuba IS (1971) A finite element method for contact problems of solid bodies. Int. J. Mech. Sci., 13: 615-639
2. Tsuta T, Yamaji S (1973) Finite element analysis of contact problem, Theory and practice in finite element structural analysis. Proc. 1973 Tokyo seminar on element analysism, pp. 177-194
3. Fredriksson B (1976) Finite element solution of surface non-linearities in structural mechanics with special emphasis to contact and fracture mechanics problems. Comput. Struct. 6: 281-290
4. Kikuchi N, Oden JT (1984) Contact problems in elastostatics. In: Oden JT, Carey GF (eds) Finite Elements, Vol. 5, Prentice-Hall, Englewood Cliffs, NJ
5. Francavilla A, Zienkiewicz OC (1975) A note on numerical computation of elastic contact problems. Int. J. Numer. Meth. Eng. 9: 913-924
6. Sachdeva TD, Ramarkrishnan CV (1981) A finite element solution for the two-dimensional elastic contact problems with friction. Int. J. Numer. Meth. Eng. 17: 1257-1271
7. Nguyen DH, De Saxcé, G (1980) Frictionless contact of elastic bodies by finite element method and mathematical programming technique. Comput. Struct. 11: 55-67
8. Klarbring A, Björkman G (1988) A mathematical programming approach to contact problems with friction and varying contact surface. Comput. Struct, 30: 1185-1198
9. Zhong WX, Sun SM (1989) A parametric quadratic programming approach to elastic contact problems with friction. Comput. Struct. 32: 37-43
10. Bathe KJ, Chaudhary A (1985) A solution method for planar and axisymmetric contact problems. Int. J. Numer. Meth. Eng. 21: 65-88
11. Nour-omid B, Wriggers P (1986) A two-level iteration method for solution of contact problems. Comput. Meth. Appl. Mech. Eng. 54: 131-144
12. Jean M, Touzot G (1988) Implementation of unilateral contact and dry friction in computer codes dealing with large deformation problems. J. Theor. Appl. Mech. 7: 145-160
13. Alart P, Curnier A (1991) A mixed formulation for frictional contact problems prone to Newton like solution methods. Comput. Meth. Appl. Mech. Eng. 92: 353-375
14. Simo JC, Laursen TA (1992) An augmented Lagrangian treatment of contact problems involving friction. Comput. Struct. 42: 97-116
15. Klarbring A (1992) Mathematical programming and augmented Lagrangian methods for frictional contact problems. In Curnier A (ed.), Proc. Contact Mechanics Int. Symp., PPUR, pp. 369-390
16. Heegaard JH, Curnier A (1993) An augmented Lagrangian method for discrete large slip problems. Int. J. Numer. Meth. Eng. 36: 569-593
17. De Saxcé G, Feng ZQ (1991) New inequality and functional for contact with friction: The implicit standard material approach. Mech. Struct. Mach. 19: 301-325
18. Zhong ZH (1993) Finite Element Procedures for Contact-impact problems. Oxford University Press, Oxford
19. Wriggers P (2002) Computational Contact Mechanics. John Wiley & Sons
20. Andersson T, Fredriksson B, Allan Persson BG (1980) New developments in boundary element methods. In: Brebbia CA (ed) The Boundary Element Method Applied to Two Dimensional Contact Problems. CML Publications, pp. 247-263
21. Paris F, Garrido JA (1989) An incremental procedure for friction contact problems with the boundary element method. Eng. Anal. Bound. Elem. 6(4): 202-213
22. Paris F, Garrido JA, Foces A (1994) An incremental procedure for three-dimensional contact problems with friction. Comput. Struct. 50: 201-215
23. Takahashi S, Brebbia CA (1992) A boundary element flexibility approach for solving contact problems with or without friction. Eng. Anal. Bound. Elem. 4: 24-30
24. Kwak BM, Lee SS (1988) A complementarity problem formulation for two dimensional fractional contact problems. Comput. Struct. 28(4): 469-480
25. Polizzotto C, Zito M (1998) B.I.E.M.-based variational principles for elastoplasticity with unilateral contact boundary conditions. Eng. Anal. Bound. Elem. 21(4): 329-338
26. Wriggers P, Van TV, Stein E (1990) Finite formulation of large deformation contact-impact problem with friction Comput. Struct. 37: 319-331
27. ANSYS Theory Reference (1999) Release 5.6
28. Cimetière A, Texier T (1995) A new numerical approach to obstacle problems. Proceedings of the Sd Contact Mechanics International Symposium, Plenum Press, New York, Londres, pp. 259-262
29. Cimetière A, Méchain C (1996) Une nouvelle méthode numérique pour les problèmes de Signorini. C. R. Acad. Sci. 323: série IIb, 455-461
30. Méchain-Renaud C, Cimetière A (2000) Influence of a curvature discontinuity on the pressure distribution in two dimensional frictionless contact problems. Int. J. Eng. Sci. 38: 197-205
31. Méchain-Renaud C (1998) Une nouvelle stratégie numérique pour les problèmes de contact unilatéral - Influence de discontinuité de courbure. Thèse, Université de Poitiers
32. Brebbia CA, Telles JCF, Wrobel LC (1984) Boundary Element Technique - Theory and Applications in Engineering. Springer-Verlag, Berlin, Heidelberg, New York, Tokyo
33. Feng ZQ, Cros JM (2002) FER/SubDomain: an integrated environment for finite element analysis using object-oriented approach. Math. Modelling Numer. Anal. 36(5): 773-781
34. http://gmfe16.cemif.univ-evry.fr:8080/̃feng
35. Kikuchi N, Song YJ (1980) Contact problems involving forces and moments for incompressible linearly elastic materials. Int. J. Eng. Sci. 18: 357-377
36. Klarbring A (1991) Examples of non-uniqueness and non-existence of solutions to quasistatic contact problems with friction. Ingenieur Archiv 60: 529-541
37. Strömberg N, Johansson L, Klarbring A (1996) Derivation and analysis of a generalized standard model for contact, friction and wear. Int. J. Solids Struct. 33: 1817-1836
38. Martins JAC, Manuel DP, Monteiro M, Gastaldi F (1994) On an example of non-existence of solution to a quasistatic frictional contact problem. Eur. J. Mech. A/Solids 13:113-133