A quasistatic contact problem for an elastic perfectly plastic body with Tresca's friction

Nonlinear Analysis, Theory, Methods and Applications

Volumn 35, Issue 1, 1999, Pages 95-109

  Amassad, Amina ^a   Shillor, Meir ^b   Sofonea, Mircea ^a  

^a UNIVERSITÉ DE PERPIGNAN   (France)

^b OAKLAND UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; ELASTOPLASTICITY; MATHEMATICAL MODELS; STRESSES; TENSORS; VARIATIONAL TECHNIQUES; VELOCITY;

PRANDTL-REUSS CONSTITUTIVE LAW; TRESCA FRICTION LAW;

FRICTION;

EID: 0032785319     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00100-X     Document Type: Article

References (17)

1. R.A. Adams, Sobolev Spaces, Academic Press, New York, 1975.
2. A. Amassad, M. Sofonea, Analysis of a quasistatic viscoplastic problem involving Tresca friction law, Discrete Continuous Dyn. Systems (4) 1 (1998) 55-72.
3. V. Barbu, Nonlinear Semigroups and Differential Equations in Banach Spaces, Editura Academiei, Bucharest-Noordhoff, Leyden, 1976.
4. G. Duvaut, J.L. Lions, Inequalities in Mechanics and Physics, Springer, Berlin, 1976.
5. I. Hlaváček, J. Nečas, Mathematical Theory of Elastic and Elastoplastic Bodies: An Introduction, Elsevier, Amsterdam, 1981.
6. I.R. Ionescu, M. Sofonea, Functional and Numerical Methods in Viscoplasticity, Oxford University Press, Oxford, 1993.
7. C. Johnson, Existence theorems in plasticity, J. Math. Pures Appl. 55 (1976) 431-444.
8. C. Licht, Un problème d'élasticité avec frottement visqueux non linéaire, J. Méch. Theor. Appl. 4 (1) (1985) 15-26.
9. C. Licht, Comportement asymptotique d'une bande dissipative mince de faible rigidité, C.R. Acad. Sci. Paris, t. Serie I 317 (1993) 429-433.
10. C. Licht, G. Michaille, A modelling of elastic adhesive bondes joint problems, Preprint.
11. J.L. Lions, E. Magenes, Nonhomogeneous Boundary Value and Applications, vol. II, Springer, New York, 1972.
12. G.A. Maugin, The Thermomechanics of Plasticity and Fracture, Cambridge Univ. Press, Cambridge, 1992.
13. J.J. Moreau, Application of Convex Analysis for the Treatment of Elasto-Plastic Systems, in: P. Germain, B. Nayroles (Eds.), Lecture Notes in Math., vol. 503, Springer, Berlin, 1975.
14. P.D. Panagiotopoulos, Inequality Problems in Mechanics and Applications, Birkhäuser, Basel, 1985.
15. M. Shillor, M. Sofonea, A quasistatic contact problem for an elastoplastic rod, J. Math. Anal. Appl. 217 (1998) 579-596.
16. P. Suquet, Evolution problems for a class of dissipative materials, Quart. Appl. Math. (1981) 391-414.
17. R. Temam, Problèmes mathématiques en plasticité, Méthodes Mathématiques de l'informatique 12, Gauthiers-Villars, Paris, 1983.