Instability and ill-posedness in some friction problems

International Journal of Engineering Science

Volumn 36, Issue 11, 1998, Pages 1265-1293

  Simoes F M F ^a   Martins, J A C ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTURE MECHANICS; PERTURBATION TECHNIQUES; SOLIDS; STABILITY; SURFACES; VISCOSITY;

ILL-POSEDNESS; STEADY FRICTIONAL SLIDING;

FRICTION;

EID: 0032157671     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7225(98)00024-X     Document Type: Article

References (26)

1. Mandel, J., in: G. Kravtchenko and P. Sirieys (Eds.), Rheology and soil mechanics, IUTAM Symposium at Grenoble, 1964.
2. Rice, J. R., in: W. T. Koiter (Eds.), Theoretical and applied mechanics, 14th IUTAM Congress, Delft, Amsterdam: North Holland, 1976.
3. Nguyen, Q. S. (Eds.), Bifurcation and stability of dissipative systems, in: International Centre for Mechanical Sciences, Courses and Lectures no 237, New York: Springer, 1993.
4. B. Loret, J Mech Phys Solids 40 (1992) 1363.
5. R. M. Brannon, W. J. Drugan, J Mech Phys Solids 41 (1993) 297.
6. A. Needleman, M. Ortiz, Int J Solids Struct 28 (1991) 859.
7. Benallal, A., Billardon, R. and Geymonat, in: Q. S. Nguyen (Eds.), Bifurcation and stability of dissipative systems, in: International Centre for Mechanical Sciences, Courses and Lectures no 327, New York: Springer, 1993.
8. J. A. C. Martins, L. O. Faria, J. Guimarães, ASME J Vibr Acoust 117 (1995) 445.
9. B. Loret, J. A. C. Martins, F. M. F. Simões, Int J Solids Struct 32 (1995) 2155.
10. D. G. Schaeffer, Int J Numer Anal Meth Geomech 14 (1990) 253.
11. Benallal, A., in: D. R. J. Owen et al. (Eds.), Computational plasticity, Swansea: Pineridge Press, 1992.
12. Bigoni, D. and Willis, J. R., in: Chambon, Desrues and Vardoulakis (Eds.), Localisation and bifurcation theory for soils and rocks, Rotterdam: Balkema, 1994.
13. G. Pijaudier-Cabot, Z. P. Bazant, ASCE J Engng Mech 112 (1987) 1512.
14. N. Triantafyllidis, E. C. Aifantis, J Elasticity 16 (1986) 225.
15. H. B. Mulhaus, I. Vardoulakis, Geotechnique 37 (1987) 271.
16. A. Needleman, Comp Meth Appl Mech Engng 67 (1988) 69.
17. Duvaut, G., J Mécanique théorique et apliquée. Numéro Spécial, 1982, p. 73.
18. J. T. Oden, E. B. Pires, J Appl Mech 50 (1983) 67.
19. Back, N., Burdekin, M. and Cowley, A., in: S. A. Tobias and F. Koenigsberger (Eds.), Proceedings of the 13th International Machine Tool Design and Research Conference, London: MacMillan, 1973.
20. J. T. Oden, J. A. C. Martins, Comp Meth Appl Mech Engng 52 (1985) 527.
21. J. A. C. Martins, J. T. Oden, Nonlinear analysis, theory, methods and applications 11 (1987) 407.
22. Martins, J. A. C. and Simões, F. M. F., in: M. Raous, M. Jean and J. J. Moreau (Eds.), Contact mechanics, New York: Plenum Press, 1995.
23. Fung, Y. C., Foundations of solid mechanics. Englewood Cliffs, NJ, Prentice-Hall, 1965.
24. Cocu, M., Pratt, E. and Raous, M., in: M. Raous, M. Jean and J. J. Moreau (Eds.), Contact mechanics, New York: Plenum Press, 1995.
25. B. Loret, J. H. Prevost, ASCE J Engng Mech 117 (1991) 907.
26. F. H. Wu, L. B. Freund, J Mech Phys Solids 32 (1984) 119.