Long-time behavior for the full one-dimensional Frémond model for shape memory alloys

Continuum Mechanics and Thermodynamics

Volumn 12, Issue 6, 2000, Pages 423-433

  Colli, Pierluigi ^a   Laurençot, Philippe ^b   Stefanelli, Ulisse ^a  

^a UNIVERSITY OF PAVIA   (Italy)

^b UNIVERSITÉ HENRI POINCARÉ NANCY 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034355442     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001610050146     Document Type: Article

References (15)

1. Antman S, Ericksen JL, Kinderlehrer D, and Müller I (eds) (1987) Metastability and Incompletely Posed Problems. Springer, New York
2. Bonetti E (2000) Global solution to a Frémond model for shape memory alloys with thermal memory. Nonlinear Anal., to appear
3. Brezis H (1973) Opérateurs Maximaux Monotones et Semi-groupes de Contractions dans les Espaces de Hilbert. Number 5 in North Holland Math. Studies. North-Holland, Amsterdam
4. Chemetov N (1998) Uniqueness results for the full Frémond model of shape memory alloys. Z. Anal. Anwendungen, 17(4): 877-892
5. Colli P (1992) An existence result for a thermo-mechanical model of shape memory alloys. Adv. Math. Sci. Appl., 1: 83-97
6. Colli P (1995) Global existence for the three-dimensional Frémond model of shape memory alloys. Nonlinear Anal., 24(11): 1565-1579
7. Colli P, Frémond M, and Visintin A (1990) Thermo-mechanical evolution of shape memory alloys. Quart. Appl. Math., 48: 31-47
8. Colli P and Sprekels J (1995) Global solution to the full one-dimensional Frémond model for shape memory alloys. Math. Methods Appl. Sci., 18: 371-385
9. Frémond M (1987) Matériaux à mémoire de forme. C. R. Acad. Sci. Paris Sér. II Méc. Phys. Chim. Sci. Univers Sci. Terre, 304: 239-244
10. Frémond M (1990) Shape memory alloys. A thermomechanical model. In: Hoffmann KH and Sprekels J (eds) Free Boundary Problems: Theory and Applications. Number 185 in Pitman Res. Notes Math. Ser., pages 295-306. Longman, London
11. Frémond M and Miyazaki S (1996) Shape Memory Alloys. CISM Courses and Lectures, Vol. 351 Springer
12. Frémond M and Visintin A (1985) Dissipation dans le changement de phase. Surfusion. Changement de phase irréversible. C. R. Acad. Sci. Paris Sér. II Méc. Phys. Chim. Sci. Univers Sci. Terre, 301: 1265-1268
13. Haraux A (1991) Systèmes Dynamiques Dissipatifs et Applications. Number 17 in RMA Res. Notes Appl. Math. Masson, Paris
14. Hoffmann KH, Niezgódka M, and Zheng S (1990) Existence and uniqueness to an extended model of the dynamical developments in shape memory alloys. Nonlinear Anal., 15: 977-990
15. Shemetov N (1998) Existence result for the full one-dimensional Frémond model of shape memory alloys. Adv. Math. Sci. Appl., 8(1): 157-172