Plasticity models and nonlinear semigroups

Journal of Mathematical Analysis and Applications

Volumn 216, Issue 1, 1997, Pages 218-245

  Showalter, R E ^a   Shi, Peter ^b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b OAKLAND UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY VALUE PROBLEMS; KINEMATICS; NUMERICAL METHODS; PLASTICITY; STRAIN; STRAIN HARDENING; STRESSES; VARIATIONAL TECHNIQUES; VISCOSITY;

CONSTITUTIVE LAW; DYNAMIC MOMENTUM EQUATION; ELASTIC PLASTIC MATERIAL; HILBERT SPACE; NONLINEAR SEMIGROUPS; VARIATIONAL INEQUALITIES;

MATHEMATICAL MODELS;

EID: 0031284327     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5673     Document Type: Article

References (19)

1. Anzellotti G., Luckhaus S. Dynamical evolution of elasto-perfectly plastic bodies. Appl. Math. Optim. 15:1987;121-140.
2. Brezis H. Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. Zarantonello E. H. Contributions to Nonlinear Functional Analysis. 1971;101-156 Academic Press, New York.
3. Brezis H. Opérateurs Maximaux Monotones et Semigroupes de Contractions dans le Espaces de Hilbert. 1973;North-Holland, Amsterdam.
4. Crandall M. G., Evans L. C. On the relation of the operatorddsddt. Israel J. Math. 21:1975;261-278.
5. DiBenedetto E., Showalter R. E. Implicit degenerate evolution equations and applications. SIAM J. Math Anal. 12:1981;731-751.
6. Duvaut C., Lions J.-L. Les inequations en mecanique et en physique. 1972;Dunod, Paris.
7. Ekeland I., Temam R. Convex Analysis and Variational Problems. 1976;North-Holland, Amsterdam.
8. Han W., Reddy B. D. Computational plasticity: The variational basis and numerical analysis. Comp. Mech. Adv. 2:1995;283-400.
9. Johnson C. Existence theorems for plasticity problems. J. Math. Pures Appl. 55:1976;431-444.
10. Johnson C. On plasticity with hardening. J. Math. Anal. Appl. 62:1978;325-336.
11. Krasnosel'skii M. A., Pokrovskii A. V. Systems with Hysteresis. 1989;Springer-Verlag, Berlin New York.
12. Krejci P. Modeling of singularities in elastoplastic materials with fatigue. Appl. Math. 39:1994;137-160.
13. Krejci P. Hysteresis, Convexity and Dissipation in Hyperbolic Equations. 1996;Gakkotosho, Tokyo.
14. Li Y., Babuška I. A convergence analysis of an H-version finite element method with high order elements for two dimensional elasto-plastic problems. SIAM J. Numer. Anal. 34:1997;998-1036.
15. Rockafellar R. T. Convex integral functionals and duality. Zarantonello E. H. Contributions to Nonlinear Functional Analysis. 1971;215-236 Academic Press, New York.
16. Showalter R. E., Little T., Hornung U. Parabolic PDE with hysteresis. Control Cybernet. 25:1996;631-643.
17. Suquet P. M. Evolution problems for a class of dissipative materials. Quat. Appl. Math. 38:1980;331-414.
18. Visintin A. Rheological models and hysteresis effects. Rend. Sem. Mat. Univ. Padova. 77:1987;213-243.
19. Visintin A. Differential Models of Hysteresis. 1995;Springer-Verlag, Berlin, New York.