Existence and Uniqueness Theorem for the Chan-Bodner-Lindholm Model

Mathematical Methods in the Applied Sciences

Volumn 22, Issue 4, 1999, Pages 285-300

  Gwiazda, Piotr ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; MATHEMATICAL MODELS; THEOREM PROVING;

NONLINEAR INELASTICITY;

NONLINEAR EQUATIONS;

EID: 0033101185     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(19990310)22:4<285::AID-MMA41>3.0.CO;2-Z     Document Type: Article

References (12)

1. Alber, H. D., Materials with Memory, Lectures Notes in Mathematic, Vol. 1682, Springer, Berlin, 1998.
2. Alber, H. D. and Chelmiński, K., 'Existence theory for the equations of inelastic material behaviour of metals-Transformation of interior variables and energy estimates', Roczniki PTM: Appl. Math., 39, 1-15 (1996).
3. Bodner, S. R. and Partom, Y., 'Constitutive equations for elastic-viscoplastic strain-hardening materials', J. Appl Mech., 385-389 (1975).
4. Brezis, H., Operateurs maximaux monotones, North-Holland, Amsterdam, 1973.
5. Chan, K. S., Bodner, S. R. and Lindholm, U. S., 'Phenomenological modeling of hardening, and thermal recovery in metals', J. Engng. Mater. Technol., 110(1), XX-XX (1988).
6. Chelmiński, K., 'Global in time existence of solutions to the constitutive model of Bodner-Partom with isotropic hardening', Demonstratio Mathematical, 28(3), 667-688 (1995).
7. Chelmiński, K., 'On large solutions for the quasistatic problem in nonlinear viscoelasticity with the constitutive equations of Bodner-Partom', Math. Meth. in the Appl. Sci., 19, 933-942 (1996).
8. Chelmiński, K., "Energy estimates and global in time results for a problem from nonlinear viscoelasticity', Bull. Pol. Acad. Sci. Math., 44, 465-477 (1996).
9. Chelmiński, K., 'Coercive limits for a subclass of monotone constitutive equations in the theory of inelastic material behaviour of metals', Roczniki PTM: App. Math., 40, 41-81 (1997).
10. Chelmiński, K. and Gwiazda, P., 'On the model of Bodner-Parton with nonhomogeneous boundary data,' Preprint-N. 1910, FB Mathematik, TH Darmstadt, 1997.
11. Gwiazda, P., 'On singular limits to the Bodner-Partom Model', Preprint No. 1882, FB Mathematik, TH Darmstadt, 1996.
12. Pazy, A., 'Semigroups of Linear Operators and Applications to Partial Differential Equations', Springer, New York, 1983.