J. M. Batt, A version of the fundamental theorem for Young measures In Partial Differential Equations and Continuum Models of Phase Tlansitions, Lecture Notes in physics # 844, pp.207-215

[. Brézis,

[. B. , J. M. Ball, and R. D. , James : Fine phase mixtures as minimizers of energy, Arch. Rational Mech. Anal, vol.100, issue.1gg7, pp.13-15

[. B. , J. M. Ball, and R. D. , James : Proposed experimental tests of a theory of fine microstructures

. Phil and . Tbans, Roy. Soc. London

M. J. Ball and F. Murat, Wr,p quasiconvexity and variational problems for multiple integrals

, J. F\rnct. Anal, vol.8, pp.255-258, 1984.

. B. Br and . Brighi, Sur quelques problèmes de CaJcuI des Vafiations et I'approximation de le:uu. fonctionnelle relaxée. Thesis, 1991.

, Brighi and M. chipot : Approximation in nonconvex problems, Proceedings of the First European Conference on Elliptic and Parabolic Problems

[. B. Brighi and M. Chipot, Approximated convex envelope of a firnction

, Hyperelasticity for crystals Chipot : Numerical analysis of oscillations in nonconvex problems, European Journ. of Appl. Math, vol.1, pp.118-130, 1990.

. C. Tc, C. Chipot, and . Collins, Numerical approximation in variational problems with potential wells

, SIAM J. of Numerical Analysis, vol.29, issue.4, pp.1002-1019, 1992.

[. C. Chipot, C. Collins, and D. Kinderlehrer, Numerical analysis of oscillations in multiple well problems, Numerische Mathematik, vol.70, issue.3
DOI : 10.1007/s002110050119

. K. Tc, D. Chipot, and . Kinderlehrer, Equilibrium configurations of crystals, Arch. Rational Mech. Anal, vol.103, pp.237-277, 1988.

[. C. Chipot and S. Miiller, Sharp energy estimates to finite element approximation for nonconvex problems

[. C. Collins, D. Kinderlehrer, and M. Luskin, Numerical Approximation of the Solution of a Variational Problem with a Double Well Potential, SIAM Journal on Numerical Analysis, vol.28, issue.2
DOI : 10.1137/0728018

S. J. Numer, Anal, vol.28, pp.327-332, 1991.

[. C. , C. Collins, and M. Luskin, The computation of the austenitic-martensitic phase transition. h Partial Differential Equations and Continuum Models of Phase I)ansitions, Lecture Notes in Physics # 344, pp.34-50, 1989.

[. C. , C. Collins, and M. Luskin, Computationa] results for phase transitions in shape memory materials, In Smart Materials, Structures, ffid Mathematical Issues, pp.198-215, 1989.

[. C. , C. Collins, and M. Luskin, Numerical modeling of the microstructure of crystals with symmetry-related va^riants, Proceedings oî the ARO US-Japan Workshop on Smaft/ Intelligent Materials

[. C. , C. Collins, and M. Luskin, Optimal order error estimates for the finite element approximation of the solution of a nonconvex variational problem, 1990.

M. Lil, '. W. Chipot, and . Li, variational problems with potential wells and nonhomogeneous boundary conditions

[. Dacorogna, Weak continuity and weak lower semicontinuity of nonlineat functionaJs, 1982.
DOI : 10.1007/bfb0096144

. J. Er, Ericksen : Some constrained elastic crystals, Material Instabilities in Continuum Mechanics and, pp.119-137, 1982.

, Evans : Weak Convergence Methods for Nonlinear Partial Differential Equations. A.M.S. Regional Conference Series in Mathematics f 74, 1989.

[. Fonseca, Variational methods for elastic crystals, Archive for Rational Mechanics and Analysis, vol.6, issue.3, pp.789-220, 1985.
DOI : 10.1007/BF00250681

[. Fonseca, The lower quasiconvex envelope of the stored energy function for an elastic crystal

, J. Math. Pures et Appl, vol.67, pp.175-195, 1988.

[. G. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, 1985.

[. James, Basic principles for the improvement of shape-memory and related materials

, In Sma,rt Materials, Structures, Md Mathematical Issues, 1939.

[. D. James, Microstructure and weak convergence, Matefial Instabilities in Continuum Mechanics a, pp.175-196, 1987.

[. J. James and D. Kinderlehrer, Theory of diffusionless phase transitions, Lecture Notes in Physics #, vol.344, pp.51-84, 1989.
DOI : 10.1007/BFb0024935

D. Kinderlehrer, Remarks about equilibrium configurations of crystals, Material Instabilities in Continuwn Mechanics and Reiated Pro blems, pp.2-7, 1987.

[. K. , D. Kinderlehrer, and P. Pedregal, Characterizations of Young measures generated by gradients, Arch. Rat. Mech. Anal, vol.115, pp.329-365, 1991.

[. K. , D. Kinderlehrer, and P. Pedregal, Weak convergence of integrands and the Young measure representation, p.44

, SIAM J. Math. Anal, pp.1-1, 1992.

. R. Ko and . Kohn, The relationship between linea^r and nonlinear variational models of coherent phase transitions, Prcceedings of the Seventh Army Conference on Applied Mathematics and Computing

[. L. Li, M. Chipot, and B. Brighi, Nonhomogeneous variational problemes with potential wells in the vectorial case

[. , , pp.1-8

[. R. Raviart and J. M. Thomas, Introduction à I'analyse numérique des équations aux dérivées partielJes, 1988.

. L. Tartar, Compensated compactness and application to partial differential equations In Nonlinea^r a.nalysis and meehanics: Hedot-watt sy^p ry, pp.6-8