E. Acerbi and N. Fusco, An approximation lemma for W 1,p functions, Material instabilities in continuum mechanics (Edinburgh, 1985-1986), pp.1-5, 1988.

E. Acerbi and N. Fusco, A regularity theorem for minimizers of quasiconvex integrals, Archive for Rational Mechanics and Analysis, vol.99, issue.3, pp.261-281, 1987.
DOI : 10.1007/BF00284509

M. Bellieud and G. Bouchitté, Homogenization of elliptic problems in a fiber reinforced structure. Nonlocal effects, Ann. Scuola Norm. Sup. Pisa Cl. Sci, vol.26, pp.407-436, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01283228

M. Bellieud and I. Gruais, Homogenization of an elastic material reinforced by very stiff or heavy fibers. Non-local effects. Memory effects, Journal de Math??matiques Pures et Appliqu??es, vol.84, issue.1, pp.55-96, 2005.
DOI : 10.1016/j.matpur.2004.02.003

A. Bensoussan, J. Lions, and G. Papanicolaou, Asymptotic analysis for periodic structures, corrected reprint of the 1978 original, 2011.

A. Beurling and J. Deny, Espaces de dirichlet: I. Le cas ??l??mentaire, Acta Mathematica, vol.99, issue.0, pp.203-224, 1958.
DOI : 10.1007/BF02392426

A. Braides, ? ?convergence for Beginners, 2002.
DOI : 10.1093/acprof:oso/9780198507840.001.0001

A. Braides, M. Briane, and J. Casado-díaz, Homogenization of non-uniformly bounded periodic diffusion energies in dimension two, Nonlinearity, vol.22, issue.6, pp.1459-1480, 2009.
DOI : 10.1088/0951-7715/22/6/010

URL : https://hal.archives-ouvertes.fr/hal-00434923

M. Briane, Homogenization of High-Conductivity Periodic Problems: Application to a General Distribution of One-Directional Fibers, SIAM Journal on Mathematical Analysis, vol.35, issue.1, pp.33-60, 2003.
DOI : 10.1137/S0036141001398666

M. Briane, M. Camar, and ?. Eddine, Homogenization of two-dimensional elasticity problems with very stiff coefficients, Journal de Math??matiques Pures et Appliqu??es, vol.88, issue.6, pp.483-505, 2007.
DOI : 10.1016/j.matpur.2007.09.003

URL : https://hal.archives-ouvertes.fr/hal-00158636

M. Briane, M. Camar, and ?. Eddine, An Optimal Condition of Compactness for Elasticity Problems Involving one Directional Reinforcement, Journal of Elasticity, vol.22, issue.5, pp.11-38, 2012.
DOI : 10.1007/s001610050069

URL : https://hal.archives-ouvertes.fr/hal-00497567

M. Briane, J. Casado, and ?. Díaz, Asymptotic behaviour of equicoercive diffusion energies in dimension two, Calculus of Variations and Partial Differential Equations, vol.110, issue.4, pp.455-479, 2007.
DOI : 10.1007/BF02418013

URL : https://hal.archives-ouvertes.fr/hal-00365131

M. Briane, J. Casado, and ?. Díaz, Compactness of sequences of two-dimensional energies with a zero-order term. Application to three-dimensional nonlocal effects, Calculus of Variations and Partial Differential Equations, vol.22, issue.3, pp.33-463, 2008.
DOI : 10.1016/S0021-7824(97)89958-8

URL : https://hal.archives-ouvertes.fr/hal-00359993

M. Briane, J. Casado, and ?. Díaz, A new div???curl result. Applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian, Journal of Differential Equations, vol.260, issue.7
DOI : 10.1016/j.jde.2015.12.029

URL : https://hal.archives-ouvertes.fr/hal-01101745

M. Briane and N. Tchou, Fibered microstructures for some nonlocal Dirichlet forms, Ann. Scuola Norm. Sup. Pisa Cl. Sci, vol.30, pp.681-711, 2001.

M. Camar, ?. Eddine, and P. Seppecher, CLOSURE OF THE SET OF DIFFUSION FUNCTIONALS WITH RESPECT TO THE MOSCO-CONVERGENCE, Mathematical Models and Methods in Applied Sciences, vol.21, issue.08, pp.1153-1176, 2002.
DOI : 10.1007/s001610050069

URL : https://hal.archives-ouvertes.fr/tel-00006576

M. Camar, ?. Eddine, and P. Seppecher, Determination of the Closure of the Set of Elasticity Functionals, Archive for Rational Mechanics and Analysis, vol.170, issue.3, pp.211-245, 2003.
DOI : 10.1007/s00205-003-0272-7

L. Carbone and C. Sbordone, Some properties of ??-limits of integral functionals, Annali di Matematica Pura ed Applicata, Series 4, vol.1, issue.5, pp.1-60, 1979.
DOI : 10.2140/pjm.1951.1.143

G. and D. Maso, An introduction to ? -convergence, Progr. Nonlin. Differ. Equ. Birkhaüser, 1993.

E. and D. Giorgi, Sulla convergenza di alcune successioni di integrali del tipo dell'area, Rend. Mat. Appl, vol.8, pp.277-294, 1975.

N. Dunford and J. T. Schwartz, Linear operators. Part I. General theory, 1988.

V. N. Fenchenko, E. Ya, and . Khruslov, Asymptotic of solution of differential equations with strongly oscillating matrix of coefficients which does not satisfy the condition of uniform boundedness, Dokl. AN Ukr. SSR, vol.4, 1981.

E. Ya and . Khruslov, Homogenized models of composite media, Composite Media and Homogenization Theory, Progr. Nonlin. Differ. Equ. Appl. Birkhaüser, pp.159-182, 1991.

N. G. Meyers, An Lp-estimate for the gradient of solutions of second order elliptic divergence equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci, vol.3, pp.189-206, 1963.

U. Mosco, Composite Media and Asymptotic Dirichlet Forms, Journal of Functional Analysis, vol.123, issue.2, pp.368-421, 1994.
DOI : 10.1006/jfan.1994.1093

URL : https://doi.org/10.1006/jfan.1994.1093

F. Murat, Séminaire d'Analyse Fonctionnelle et Numérique Université d'Alger, multicopied, 34 pp. English translation: F. Murat and L. Tartar, H-convergence, Topics in the Mathematical Modelling of Composite Materials, pp.1977-78, 1998.

C. Pideri and P. Seppecher, A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium, Continuum Mechanics and Thermodynamics, vol.9, issue.5, pp.241-257, 1997.
DOI : 10.1007/s001610050069

URL : https://hal.archives-ouvertes.fr/hal-00527291

L. Tartar, The General Theory of Homogenization: A Personalized Introduction. Lect. Notes Unione Matematica Italiana, 2009.
DOI : 10.1007/978-3-642-05195-1