G. Allaire, Shape optimization by the homogenization method, Applied Mathematical Sciences, vol.146, 2002.

G. Allaire, S. Aubry, and &. F. Jouve, Simulation num??rique de l'endommagement ?? l'aide du mod??le Francfort-Marigo, ESAIM: Proceedings, vol.3, pp.1-9, 1998.
DOI : 10.1051/proc:1998035

G. Allaire, F. Jouve, and &. N. Van-goethem, A level set method for the numerical simulation of damage evolution, Proceedings of ICIAM 2007 Zürich, pp.3-22, 2009.
DOI : 10.4171/056-1/1

L. Ambrosio, N. Fusco, and &. , Pallara: Functions of bounded variation and free discontinuity problems, 2000.

J. Babadjian, Quasistatic evolution of a brittle thin film, Calculus of Variations and Partial Differential Equations, vol.74, issue.1, pp.69-118, 2006.
DOI : 10.1007/s00526-005-0369-y

URL : https://hal.archives-ouvertes.fr/hal-00265687

J. Babadjian and &. M. Barchiesi, A variational approach to the local character of G-closure: the convex case, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.26, issue.2, pp.351-373, 2009.
DOI : 10.1016/j.anihpc.2007.08.002

URL : https://hal.archives-ouvertes.fr/hal-00265694

G. Bouchitté, I. Fonseca, G. Leoni, and &. , Mascarenhas: A global method for relaxation in W 1,p and in SBV p, Arch. Rational Mech. Anal, pp.165-187, 2002.

B. Bourdin, G. A. Francfort, and &. Marigo, The variational approach to fracture, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00551079

A. Braides, Homogenization of some almost periodic coercive functionals, Rend. Accad. Naz. Sci. Mem. Mat, vol.9, issue.5, pp.313-321, 1985.

A. Braides and &. , Defranceschi: Homogenization of multiple integrals, 1998.

G. Buttazzo and &. Maso, Integral representation and relaxation of local functionals, Nonlinear Anal, pp.515-532, 1985.

&. F. Conti and . Theil, Single-Slip Elastoplastic Microstructures, Archive for Rational Mechanics and Analysis, vol.19, issue.1, pp.125-148, 2005.
DOI : 10.1007/s00205-005-0371-8

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.127.3708

B. Dacorogna, Direct methods in the calculus of variations, 1989.
DOI : 10.1007/978-3-642-51440-1

G. and D. Maso, An introduction to ?-convergence, Birkhaüser, 1993.

G. Dal-maso, A. De-simone, and &. M. Mora, Quasistatic Evolution Problems for Linearly Elastic???Perfectly Plastic Materials, Archive for Rational Mechanics and Analysis, vol.180, issue.2, pp.237-291, 2006.
DOI : 10.1007/s00205-005-0407-0

G. Dal-maso, G. A. Francfort, and &. R. Toader, Quasistatic Crack Growth in Nonlinear Elasticity, Archive for Rational Mechanics and Analysis, vol.9, issue.2, pp.165-225, 2005.
DOI : 10.1007/s00205-004-0351-4

G. Dal-maso and &. R. Toader, A Model for the Quasi-Static Growth??of Brittle Fractures:??Existence and Approximation Results, Archive for Rational Mechanics and Analysis, vol.162, issue.2, pp.101-135, 2002.
DOI : 10.1007/s002050100187

G. Dal-maso and &. R. Toader, Quasistatic crack growth in elasto-plastic materials: the two-dimensional case

&. R. Ekeland and . Temam, Analyse convexe etprobì emes variationnels, 1974.

L. C. Evans and &. F. Gariepy, Measure theory and fine properties of functions, Boca Raton, 1992.

I. Fonseca and &. G. Francfort, Relaxation inBV versus quasiconvexification inW 1,p ; a model for the interaction between fracture and damage, Calculus of Variations and Partial Differential Equations, vol.17, issue.2, pp.407-446, 1995.
DOI : 10.1007/BF01187895

I. Fonseca and &. N. Fusco, Regularity results for anisotropic image segmentation models, Ann. Scuola Norm. Sup. Pisa Cl. Sci, vol.24, issue.4 3, pp.463-499, 1997.

I. Fonseca, N. Fusco, and &. P. Marcellini, An existence result for a nonconvex variational problem via regularity, ESAIM: Control, Optimisation and Calculus of Variations, vol.7, pp.69-95, 2002.
DOI : 10.1051/cocv:2002004

URL : http://archive.numdam.org/article/COCV_2002__7__69_0.pdf

I. Fonseca and &. G. Leoni, Modern methods in the calculus of variations: L p spaces, 2007.

I. Fonseca, S. Müller, and &. P. Pedregal, Analysis of Concentration and Oscillation Effects Generated by Gradients, SIAM Journal on Mathematical Analysis, vol.29, issue.3, pp.736-756, 1998.
DOI : 10.1137/S0036141096306534

G. A. Francfort and &. , A Variational View of Partial Brittle Damage Evolution, Archive for Rational Mechanics and Analysis, vol.47, issue.1, pp.125-152, 2006.
DOI : 10.1007/s00205-006-0426-5

G. A. Francfort and &. G. Larsen, Existence and convergence for quasi-static evolution in brittle fracture, Communications on Pure and Applied Mathematics, vol.120, issue.10, pp.1465-1500, 2003.
DOI : 10.1002/cpa.3039

G. A. Francfort and &. Marigo, Stable damage evolution in a brittle continuous medium, European J. Mech. A Solids, vol.12, pp.149-189, 1993.

G. A. Francfort and &. Marigo, Revisiting brittle fracture as an energy minimization problem, Journal of the Mechanics and Physics of Solids, vol.46, issue.8, pp.1319-1342, 1998.
DOI : 10.1016/S0022-5096(98)00034-9

A. Garroni and &. C. Larsen, Threshold-based Quasi-static Brittle Damage Evolution, Archive for Rational Mechanics and Analysis, vol.158, issue.3, pp.585-609, 2009.
DOI : 10.1007/s00205-008-0174-9

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.215.628

A. Giacomini and &. , A ??-Convergence Approach to Stability of Unilateral Minimality Properties in Fracture Mechanics and Applications, Archive for Rational Mechanics and Analysis, vol.180, issue.3, pp.399-447, 2006.
DOI : 10.1007/s00205-005-0392-3

M. Giaquinta, Multiple integrals in the calculus of variations and nonlinear elliptic systems, Annals of Mathematics Studies, vol.105, 1983.

E. Giusti, Direct methods in the calculus of variations, NJ, 2003.
DOI : 10.1142/5002

A. Mainik and &. A. Mielke, Existence results for energetic models for rate-independent systems, Calculus of Variations, vol.332, issue.1, pp.73-99, 2005.
DOI : 10.1007/s00526-004-0267-8

A. Mielke, Evolution of rate-independent systems Handbook of Differential Equations, In: Evolutionary equations, pp.461-559, 2005.

A. Mielke, Existence of Minimizers in Incremental Elasto-Plasticity with Finite Strains, SIAM Journal on Mathematical Analysis, vol.36, issue.2, pp.384-404, 2004.
DOI : 10.1137/S0036141003429906

A. Mielke, T. Roubicek, and &. , Stefanelli: ?-limits and relaxations for rate-independent evolutionary problems, Calc. Var. and PDEs, pp.31-387, 2008.

. Müller, Homogenization of nonconvex integral functionals and cellular elastic materials, Arch. Rational Mech. Anal, vol.99, pp.189-212, 1987.

U. Raitums, On the Local Representation of G-Closure, Archive for Rational Mechanics and Analysis, vol.158, issue.3, pp.213-234, 2001.
DOI : 10.1007/PL00004244