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Free energies and pseudo-elastic transitions for shape memory alloys
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Preface
A new "flexible" 3D macroscopic model for shape memory alloys
1. | Dipartimento di Meccanica Strutturale, Università di Pavia, via Ferrata 1, 27100 Pavia, Italy |
2. | Dipartimento di Matematica, Università di Pavia, via Ferrata 1, 27100 Pavia |
References:
[1] |
J. Arghavani, F. Auricchio, R. Naghdabadi, A. Reali and S. Sohrabpour, A 3-D phenomenological constitutive model for shape memory alloys under multiaxial loadings, International Journal of Plasticity, 26 (2010), 976-991.
doi: 10.1016/j.ijplas.2009.12.003. |
[2] |
F. Auricchio and L. Petrini, A three-dimensional models describing stress-temperature induced solid phase transformations. part I: Solution, algorithm and boundary value problems, International Journal of Numerical Methods in Engineering, 6 (2004), 807-836. |
[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.
doi: 10.1016/j.cma.2009.01.019. |
[4] |
E. Bonetti, Global solvability of a dissipative Frémond model for shape memory alloys. I. Mathematical formulation and uniqueness, Quart. Appl. Math., 61 (2003), 759-81. |
[5] |
E. Bonetti, M. Frémond and Ch. Lexcellent, Global existence and uniqueness for a thermomechanical model for shape memory alloys with partition of the strain, Math. Mech. Solids, 11 (2006), 251-75.
doi: 10.1177/1081286506040403. |
[6] |
H. Brézis, "Opérateurs Maximaux Monotones et Semi-groupes de Contractions dans les Espaces de Hilbert," Number 5 in North Holland Math. Studies. North-Holland, Amsterdam, 1973. |
[7] |
M. Frémond, "Non-Smooth Thermomechanics," Springer-Verlag, Berlin, 2002. |
[8] |
J. Lubliner, "Plasticity Theory," Macmillan, New York, 1990. |
[9] |
J. J. Moreau, "Fonctionelles Convexes," Universià 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.
doi: 10.1016/S0997-7538(98)80005-3. |
show all references
References:
[1] |
J. Arghavani, F. Auricchio, R. Naghdabadi, A. Reali and S. Sohrabpour, A 3-D phenomenological constitutive model for shape memory alloys under multiaxial loadings, International Journal of Plasticity, 26 (2010), 976-991.
doi: 10.1016/j.ijplas.2009.12.003. |
[2] |
F. Auricchio and L. Petrini, A three-dimensional models describing stress-temperature induced solid phase transformations. part I: Solution, algorithm and boundary value problems, International Journal of Numerical Methods in Engineering, 6 (2004), 807-836. |
[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.
doi: 10.1016/j.cma.2009.01.019. |
[4] |
E. Bonetti, Global solvability of a dissipative Frémond model for shape memory alloys. I. Mathematical formulation and uniqueness, Quart. Appl. Math., 61 (2003), 759-81. |
[5] |
E. Bonetti, M. Frémond and Ch. Lexcellent, Global existence and uniqueness for a thermomechanical model for shape memory alloys with partition of the strain, Math. Mech. Solids, 11 (2006), 251-75.
doi: 10.1177/1081286506040403. |
[6] |
H. Brézis, "Opérateurs Maximaux Monotones et Semi-groupes de Contractions dans les Espaces de Hilbert," Number 5 in North Holland Math. Studies. North-Holland, Amsterdam, 1973. |
[7] |
M. Frémond, "Non-Smooth Thermomechanics," Springer-Verlag, Berlin, 2002. |
[8] |
J. Lubliner, "Plasticity Theory," Macmillan, New York, 1990. |
[9] |
J. J. Moreau, "Fonctionelles Convexes," Universià 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.
doi: 10.1016/S0997-7538(98)80005-3. |
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