On Monotone Plastic Constitutive Equations with Polynomial Growth Condition

Mathematical Methods in the Applied Sciences

Volumn 22, Issue 7, 1999, Pages 547-562

  Chełmiński, Krzysztof ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000971651     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(19990510)22:7<547::AID-MMA52>3.0.CO;2-T     Document Type: Article

References (17)

1. Alber, H.-D. 'Materials with memory, initial-boundary value problems for constitutive equations with internal variables', Lecture Notes in Math. 1682, Springer, Berlin 1998.
2. Anzellotti, G. and Luckhaus, S., 'Dynamical evolutions of elasto-perfectly plastic bodies', Appl. Math. Optim. 15, 121-140 (1987).
3. Ball, J. M., 'A version on the fundamental theorem for Young measures', Lecture Notes in Physics, Vol., 344, pp. 207-215, 1989.
4. Blanchard, D., Tallec, P. Le and Ravachol, M., 'Numerical analysis of evolution problems in nonlinear small strains elastoviscoplasticity', Numer, Math. 55, 177-195 (1989).
5. Brézis, H. Operateurs Maximaux Monotones, North-Holland, Amsterdam, 1973.
6. Chełmiński, K., 'Coercive limits for a subclass of monotone constitutive equations in the theory of inelastic material behaviour of metals Roczniki PTM', Appl. Math. 40, 41-81 (1997).
7. Chełmiński, K., 'On self-controlling models in the theory of inelastic material behaviour of metals', Com. Mech. Therm. 10 121-133 (1998).
8. Chełmiński, K., and Gwiazda, P., 'Monotonicity of operators of viscoplastic response: application to the model of Bodner-Partom', Bull. Pol. Acad. Sci. (1999) (to appear).
9. Chełmiński, K., and Naniewicz, Z., 'Coercive limits for constitutive equations of monotone-gradient type', submitted to Nonlinear Analysis.
10. Shutao, C., 'Geometry of Orlicz spaces', Diss. Math. CCCLVI (1996).
11. Dellacherie, C. and Meyer, P.-A., 'Probabilities and potential', Mathematics Studies, Vol. 29, North-Holland, Amsterdam, (1978).
12. Edwards, R. E., Functional Analysis, Holt. Rinehart and Winston, New York, 1965.
13. Evans, L. C., 'Weak Convergence Methods for Partial Differential Equations', Conference Board of the Math Sci., Vol. 74, American Mathematical Society, Providence, RI 1990.
14. Krasnosiekskii, M. A. and Rutickii, Y. B., Convex Functions and Orlicz Spaces, P. Noordhoff Ltd., Groningen, 1961.
15. Le Tallec, P., Numerical Analysis of Viscoelastic Problems, Masson, Paris, Springer, Berlin, 1990.
16. Lions, J. L., Quelques méthodes de résolution des problèmes aux limites non-linéaires, Dunod, Paris, Gauthier-Villars, Paris, 1969.
17. Zeidler, E., Nonlinear Functional Analysis and its Applications, Applications to Mathematical Physics, Vol. IV, Springer, New York, 1988.