Comparison of the geometrically nonlinear and linear theories of martensitic transformation, Continuum Mechanics and Thermodynamics, vol.40, issue.5, pp.205-242, 1993. ,
DOI : 10.1007/BF01126525
Microstructure of Martensite, oxford materials Edition, Oxford Series on Materials Modelling, 2003. ,
Opérateurs maximum monotones et semigroupes de contractions dans les espaces de hilbert, 1972. ,
Fracture Mechanics, Inverse Problems and Solution, 2006. ,
Une mod??lisation thermom??canique unidimensionnelle de la propagation d'un front de changement de phase dans un monocristal d'AMF, Comptes Rendus M??canique, vol.331, issue.1, pp.25-32, 2003. ,
DOI : 10.1016/S1631-0721(02)00003-7
Hysteresis and microstructures: a study of biaxial loading on compound twins of copperaluminumnickel single crystals, 1993. ,
Direct methods in the calculus of variations, 2008. ,
DOI : 10.1007/978-3-642-51440-1
Mechanical behaviour of sma for seismic applications . 2: austenite niti wires subjects in tension, Int. J. of Mech. Sci, vol.43, pp.2656-2677, 2001. ,
Non Smooth Thermo-mechanics, 2002. ,
A multi-variant martensitic phase transformation model: formulation and numerical implementation, Computer Methods in Applied Mechanics and Engineering, vol.191, issue.3-5, pp.215-238, 2001. ,
DOI : 10.1016/S0045-7825(01)00271-7
On the viscous and strain rate dependent behavior of polycrystalline NiTi, International Journal of Solids and Structures, vol.45, issue.7-8, pp.1876-1895, 2008. ,
DOI : 10.1016/j.ijsolstr.2007.10.029
An upper bound to the free energy of n-variant polycrystalline shape memory alloys, Journal of the Mechanics and Physics of Solids, vol.56, issue.9, pp.2832-2843, 2008. ,
DOI : 10.1016/j.jmps.2008.04.005
Sur les matériaux standards généralisés, J.Mécanique, vol.14, pp.1-37, 1975. ,
The crystallography of the martensitic transformation in equiatomic nickel-titanium, Acta Metallurgica, vol.29, issue.1, pp.101-110, 1981. ,
DOI : 10.1016/0001-6160(81)90091-2
On the effective behavior of nonlinear inelastic composites: I. Incremental variational principles, Journal of the Mechanics and Physics of Solids, vol.55, issue.9, pp.1932-1963, 2007. ,
DOI : 10.1016/j.jmps.2007.02.003
URL : https://hal.archives-ouvertes.fr/hal-00214209
Contrôle optimal de systèmes gouvernés par deséquationsdeséquations aux dérivées partielles, 1968. ,
Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation, International Journal for Numerical Methods in Engineering, vol.7, issue.11, pp.1285-1322, 2002. ,
DOI : 10.1002/nme.515
Analysis of material instabilities in inelastic solids by incremental energy minimization and relaxation methods: evolving deformation microstructures in finite plasticity, Journal of the Mechanics and Physics of Solids, vol.52, issue.12, pp.2725-2769, 2004. ,
DOI : 10.1016/j.jmps.2004.05.011
Nonsmooth mechanics and applications, 1988. ,
DOI : 10.1007/978-3-7091-2624-0
Nonconvex energy minimization and dislocation structures in ductile single crystals, Journal of the Mechanics and Physics of Solids, vol.47, issue.2, pp.397-462, 1999. ,
DOI : 10.1016/S0022-5096(97)00096-3
The variational formulation of viscoplastic constitutive updates, Computer Methods in Applied Mechanics and Engineering, vol.171, issue.3-4, pp.419-444, 1999. ,
DOI : 10.1016/S0045-7825(98)00219-9
URL : https://hal.archives-ouvertes.fr/hal-01007379
Shape memory materials, 1999. ,
A time-integration scheme for thermomechanical evolutions of shape-memory alloys, Comptes Rendus M??canique, vol.334, issue.4, pp.266-271, 2006. ,
DOI : 10.1016/j.crme.2006.02.006
A non-convex lower bound on the effective energy of polycrystalline shape memory alloys, Journal of the Mechanics and Physics of Solids, vol.57, issue.6, pp.970-986, 2009. ,
DOI : 10.1016/j.jmps.2009.02.003
Shakedown theorems and asymptotic behaviour of solids in non-smooth mechanics, European Journal of Mechanics - A/Solids, vol.29, issue.5, pp.785-793, 2010. ,
DOI : 10.1016/j.euromechsol.2010.03.011
URL : https://hal.archives-ouvertes.fr/hal-00857526
On the energy-minimizing strains in martensitic microstructures???Part 1: Geometrically nonlinear theory, Journal of the Mechanics and Physics of Solids, vol.61, issue.6, pp.1486-1510, 2013. ,
DOI : 10.1016/j.jmps.2012.12.009
URL : https://hal.archives-ouvertes.fr/hal-00813543
On the energy-minimizing strains in martensitic microstructures???Part 2: Geometrically linear theory, Journal of the Mechanics and Physics of Solids, vol.61, issue.6, pp.1511-1530, 2013. ,
DOI : 10.1016/j.jmps.2012.12.011
URL : https://hal.archives-ouvertes.fr/hal-00813545
Numerical simulation of shape memory alloys structures using interior-point methods, International Journal of Solids and Structures, vol.48, issue.20, pp.2791-2799, 2011. ,
DOI : 10.1016/j.ijsolstr.2011.05.017
URL : https://hal.archives-ouvertes.fr/hal-00875256
Approche par contrôle optimal des structures lastoviscoplastiques sous chargement cyclique, C.R. Acad. Sci Paris II b, vol.329, pp.643-648, 2001. ,
DOI : 10.1016/s1620-7742(01)01381-2
An optimal control approach to the analysis of inelastic structures under cyclic loading, Journal of the Mechanics and Physics of Solids, vol.51, issue.4, pp.575-605, 2003. ,
DOI : 10.1016/S0022-5096(02)00104-7
THERMOMECHANICAL COUPLINGS AND PSEUDOELASTICITY OF SHAPE MEMORY ALLOYS, International Journal of Engineering Science, vol.36, issue.4, pp.489-509, 1998. ,
DOI : 10.1016/S0020-7225(97)00052-9
Convex Analysis, 1970. ,
DOI : 10.1515/9781400873173
On the nucleation and propagation of phase transformation fronts in a NiTi alloy, Acta Materialia, vol.45, issue.2, pp.683-700, 1997. ,
DOI : 10.1016/S1359-6454(96)00189-9
Orientation dependence of the pseudoelastic behavior of single crystals of Cu_Al_Ni in tension, Journal of the Mechanics and Physics of Solids, vol.43, issue.6, pp.869-895, 1995. ,
DOI : 10.1016/0022-5096(95)00011-7
Optimal control approach in nonlinear mechanics, Comptes Rendus M??canique, vol.336, issue.1-2, pp.238-244, 2008. ,
DOI : 10.1016/j.crme.2007.11.015
URL : https://hal.archives-ouvertes.fr/hal-00381978
Primal-dual interior-point methods, 1997. ,
DOI : 10.1137/1.9781611971453
A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids, Journal of the Mechanics and Physics of Solids, vol.54, issue.2, pp.401-424, 2006. ,
DOI : 10.1016/j.jmps.2005.08.010
URL : https://hal.archives-ouvertes.fr/hal-01004967