A contact problem for bingham fluid with friction

Applicable Analysis

Volumn 72, Issue 3-4, 1999, Pages 469-484

  Awbi, B ^a   Shillor, M ^b   Sofonea, M ^a  

^a UNIVERSITÉ DE PERPIGNAN   (France)

^b OAKLAND UNIVERSITY   (United States)

Author keywords

35D05; 35J55; 35J65; 73E60; 73T05; Bingham fluid; continuous dependence on yield; existence and uniqueness; frictional contact; normal damped response

Indexed keywords

EID: 84969357276     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036819908840754     Document Type: Article

References (20)

1. Brezis, H., 1984. Équations et inéquations non lineaires dans les espaces vectorieb en dualité. Annales de I'Institut Fourier, 18: 115–175.
2. Cristescu, N., 1975. Plastic flow through conical converging dies, using a viscoplastic constitutive equation. Int. J. Mech. Sci, 17: 425–433.
3. Cristescu, N., 1976. Drawing through conical dies—An analysis compared with experiments. Int. J. Mech. Sci, 18 (1): 45–49.
4. Cristescu, N., 1980. On the optimum die angle in fast wire drawing. J. Mechanics and Working Technology, 3 (3–4): 275–287.
5. Cristescu, N., and Suliciu, I., 1982. Viscoplasticity, Bucarest: Martius Nijhoff Publishers. Editura Tehnica
6. Duvaut, G., and Lions, J. L., 1970. Ecoulement d'unfluide rigide-viscoplastique incompressible. Comptes Rendus de l'Acadèmic des Sciences de Paris, 270: 58–61.
7. Duvaut, G., and Lions, J. L., 1972. Les inèquations en mecanique et en physique, Paris: Dunod.
8. Fortin, M., 1972. Calcul numerique des ecoulements des fluides de Bingham et des fluides newtoniens incompressibles par la methode des elements finis. Ph. D. Thesis. 1972, Atlanta, GA. University of Paris VI.
9. Glowinski, R., 1973. Sur I'ecoulement dun fluide de Bingham dans une conduite cylin-drique. Journal de Mecanique, 13 (4): 601–621.
10. Glowinski, R., Lions, J. L., and Tremolieres, R., 1976. “ Analyse numerique des inequations variationnelles ”. In Tome II, Paris: Dunod.
11. Hlavacek, I., and Necas, J., 1981. Mathematical theory of elastic and elastoplastic bodies: an introduction, Amsterdam: Elsevier.
12. Ky-Fan, A., 1972. “ minimax inequality and applications ”. In In Inequalities III, Edited by: Shido. 103–113. Academic Press.
13. Ionescu, I. R., 1985. A boundary value problem with a non-local viscoplastic friction law for the Bingham fluid. Studii si Cercetari Matematice, 37 (1): 60–65.
14. Ionescu, I. R., and Sofonea, M., 1986. The blocking property in the study of the Bingham fluid. Int. J. Engng. Sci, 24 (3): 289–297.
15. Ionescu, I. R., and Sofonea, M., 1993. Functional and numerical methods in viscoplasticity, Oxford: Oxford University Press.
16. Oden, I. T., and Pires, E., 1983. Nonlocal and nonlinear friction laws and variational principles for contact problems inelasticity. J. Appl. Mech, 50: 67–76.
17. Rochdi, M., Shillor, M., and Sofonea, M., 1998. Quasistatic viscoelastic contact with normal compliance and friction. Journal of Elasticity, 51: 105–126.
18. Rochdi, M., Shillor, M., and Sofonea, M., 1998. A Quasistatic contact problem with directional friction and damped response. Applic. Anal, 68 (3–4): 409–421.
19. Strömberg, N., Continuum thermodynamics of contact. friction and wear. Ph. D. Thesis. 1995, Sweden. Linkoping University.
20. Stromberg, N., Johansson, L., and Klarbring, A., 1996. Derivation and analysis of a generalized standard model for contact friction and wear. Int. J. Solids Structures, 33 (13): 1817–1836.