A new "flexible" 3D macroscopic model for shape memory alloys

Discrete and Continuous Dynamical Systems - Series S

Volumn 6, Issue 2, 2013, Pages 277-291

  Auricchio, Ferdinando ^a   Bonetti, Elena ^a  

^a UNIVERSITY OF PAVIA   (Italy)

Author keywords

Internal variables.; Phase transformation; Reorientation; Shape memory

Indexed keywords

EID: 84874181771     PISSN: 19371632     EISSN: 19371179     Source Type: Journal    
DOI: 10.3934/dcdss.2013.6.277     Document Type: Article

References (10)

1. J. Arghavani, F. Auricchio, R. Naghdabadi, A. Reali and S. Sohrabpour, A 3-D phenomeno- logical constitutive model for shape memory alloys under multiaxial loadings, International Journal of Plasticity, 26 (2010), 976-991.
2. F. Auricchio and L. Petrini, A three-dimensional models describing stress-temperature in- duced solid phase transformations. part I: Solution, algorithm and boundary value problems, International Journal of Numerical Methods in Engineering, 6 (2004), 807-836. (Pubitemid 39306444)
3. F. Auricchio, A. Reali and U. Stefanelli, A macroscopic 1D model for shape memory alloys including asymmetric behaviors and transformation-dependent elastic properties, Computer Methods in Applied Mechanics and Engineering, 198 (2009), 1631-1637.
4. E. Bonetti, Global solvability of a dissipative Fremond model for shape memory alloys. I. Mathematical formulation and uniqueness, Quart. Appl. Math., 61 (2003), 759-81.
5. E. Bonetti, M. Fremond and Ch. Lexcellent, Global existence and uniqueness for a thermo- mechanical model for shape memory alloys with partition of the strain, Math. Mech. Solids, 11 (2006), 251-75.
6. H. Brezis, "Operateurs Maximaux Monotones et Semi-groupes de Contractions dans les Es- paces de Hilbert," Number 5 in North Holland Math. Studies. North-Holland, Amsterdam, 1973.
7. M. Fremond, "Non-Smooth Thermomechanics," Springer-Verlag, Berlin, 2002.
8. J. Lubliner, "Plasticity Theory," Macmillan, New York, 1990.
9. J. J. Moreau, "Fonctionelles Convexes," Universia di Roma Tor Vergata Pub., Roma, 2003.
10. A. C. Souza, E. N. Mamiya and N. Zouain, Three-dimensional model for solids undergoing stress-induced phase transformations, European Journal of Mechanics, 17 (1998), 789-806. (Pubitemid 128402331)