J. Ball and R. James, Fine phase mixtures as minimizers of energy, Archive for Rational Mechanics and Analysis, vol.197, issue.1, pp.13-52, 1987.
DOI : 10.1007/BF00281246

J. Ball and R. James, Proposed Experimental Tests of a Theory of Fine Microstructure and the Two-Well Problem, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.338, issue.1650, pp.338-450, 1992.
DOI : 10.1098/rsta.1992.0013

Z. Basinski and J. Christian, The cubic tetragonal transformation in manganese copper alloys, Journal of the Institute of Metals, vol.80, issue.12, pp.659-666, 1952.

K. Bhattacharya, Microstructure of Martensite, 2003.

K. Bhattacharya and G. Dolzmann, Relaxation of some multi-well problems, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.131, issue.02, pp.279-320, 2001.
DOI : 10.1017/S0308210500000883

K. Bhattacharya and R. Kohn, Elastic Energy Minimization and the Recoverable Strains of Polycrystalline Shape-Memory Materials, Archive for Rational Mechanics and Analysis, vol.139, issue.2, pp.99-180, 1997.
DOI : 10.1007/s002050050049

I. V. Chenchiah and A. Schlömerkemper, Non-Laminate Microstructures in Monoclinic-I Martensite, Archive for Rational Mechanics and Analysis, vol.13, issue.1, pp.39-74, 2013.
DOI : 10.1007/s00205-012-0552-1

B. Dacorogna, Direct methods in the calculus of variations, second edition, 2008.

S. Eucken and J. Hirsch, The Effect of Textures on Shape Memory Behaviour, Materials Science Forum, vol.56, issue.58, pp.487-492, 1991.
DOI : 10.4028/www.scientific.net/MSF.56-58.487

S. Govindjee, K. Hackl, and R. Heinen, An upper bound to the free energy of mixing by twin-compatible lamination for n-variant martensitic phase transformations, Continuum Mechanics and Thermodynamics, vol.115, issue.7-8, pp.443-453, 2007.
DOI : 10.1007/s00161-006-0038-1

S. Govindjee, A. Mielke, and G. J. Hall, The free energy of mixing for n?variant martensitic phase transformations using quasi-convex analysis-variant martensitic phase transformations using quasi-convex analysis, J.Mech.Phys.Solids, vol.51, issue.4, p.I?XXVI, 2003.

K. Hackl and R. Heinen, 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

A. Khachaturyan, Theory of Structural Transformation in solids, 1983.

D. Kinderlehrer and P. Pedregal, Characterizations of young measures generated by gradients, Archive for Rational Mechanics and Analysis, vol.7, issue.4, pp.329-365, 1991.
DOI : 10.1007/BF00375279

R. Kohn, The relaxation of a double-well energy, Continuum Mechanics and Thermodynamics, vol.8, issue.3, pp.193-236, 1991.
DOI : 10.1007/BF01135336

G. W. Milton, The theory of composites, 2002.
DOI : 10.1017/CBO9780511613357

G. W. Milton and S. K. Serkov, Bounding the current in nonlinear conducting composites, Journal of the Mechanics and Physics of Solids, vol.48, issue.6-7, pp.1295-1324, 2000.
DOI : 10.1016/S0022-5096(99)00083-6

A. Misra and V. Singh, Thermomechanics-based nonlinear rate-dependent coupled damage-plasticity granular micromechanics model. DOI:10.1007/s00161-014-0360-y, Continuum Mech. Thermodyn, pp.1-31, 2014.

S. Müller, Variational models for microstructure and phase transitions, 1999.
DOI : 10.1007/BFb0092670

K. Otsuka and C. Wayman, Shape memory materials, 1998.

M. Peigney, A pattern-based method for bounding the effective response of a nonlinear composite, Journal of the Mechanics and Physics of Solids, vol.53, issue.4, pp.923-948, 2005.
DOI : 10.1016/j.jmps.2004.11.001

M. Peigney, Recoverable strains in composite shape memory alloys, Journal of the Mechanics and Physics of Solids, vol.56, issue.2, pp.360-375, 2008.
DOI : 10.1016/j.jmps.2007.05.016

M. Peigney, 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

M. Peigney, 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.1489-1510, 2013.
DOI : 10.1016/j.jmps.2012.12.009

URL : https://hal.archives-ouvertes.fr/hal-00813543

M. Peigney, 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

M. Peigney, J. Seguin, and E. Hervé-luanco, 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

A. C. Pipkin, ELASTIC MATERIALS WITH TWO PREFERRED STATES, The Quarterly Journal of Mechanics and Applied Mathematics, vol.44, issue.1, pp.1-15, 1991.
DOI : 10.1093/qjmam/44.1.1

Y. Shu and K. Bhattacharya, The influence of texture on the shape-memory effect in polycrystals, Acta Materialia, vol.46, issue.15, pp.5457-5473, 1998.
DOI : 10.1016/S1359-6454(98)00184-0

V. Smyshlyaev and J. R. Willis, On the relaxation of a three-well energy, Proc. R. Soc. Lond. A 455, pp.779-814, 1998.

D. R. Talbot and J. R. Willis, Bounds for the effective constitutive relation of a nonlinear composite, Proc. R. Soc. Lond. A 460, pp.2705-2723, 2004.
DOI : 10.1098/rspa.2004.1309

Y. Ye, Interior point algorithms: theory and analysis, 1997.
DOI : 10.1002/9781118032701

Y. Ye, On homogeneous and self-dual algorithms for LCP, Mathematical Programming, vol.62, issue.1, pp.211-222, 1997.
DOI : 10.1007/BF02614384

L. Zhao, P. F. Willemse, J. H. Mulder, J. Beyer, and W. Wei, Texture development and transformation strain of a cold-rolled Ti50-Ni45-Cu5 alloy Scripta Mater, pp.1317-1323, 1998.