L. Ambrosio, A compactness theorem for a new class of functions of bounded variation, Boll. Un. Mat. Ital. B Arch. Rational Mech. Anal, vol.3, issue.7, pp.857-881, 1989.

L. Ambrosio, A new proof of the SBV compactness theorem, Calculus of Variations and Partial Differential Equations, vol.17, issue.1, pp.127-137, 1995.
DOI : 10.1007/BF01190895

L. Ambrosio, A. Coscia, and G. Dal-maso, Fine Properties of Functions with Bounded Deformation, Archive for Rational Mechanics and Analysis, vol.139, issue.3, pp.201-238, 1997.
DOI : 10.1007/s002050050051

L. Ambrosio, N. Fusco, and D. Pallara, Free Discontinuity Problems and Special Functions with Bounded Variation, 2000.
DOI : 10.1007/978-3-0348-8974-2_2

L. Ambrosio and V. M. Tortorelli, On the approximation of free discontinuity problems, Boll. Un. Mat. Ital. B, vol.6, issue.7, pp.105-123, 1992.

J. Babadjian, Traces of functions of bounded deformation, Indiana Univ, Math. J, vol.64, pp.1271-1290, 2015.

J. Babadjian and A. Giacomini, Existence of strong solutions for quasi-static evolution in brittle fracture, Ann. Sc. Norm. Super. Pisa Cl. Sci, issue.5, pp.13-925, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00797008

G. Bellettini, A. Coscia, and G. Dal-maso, Compactness and lower semicontinuity properties in $SBD(\Omega)$, Mathematische Zeitschrift, vol.228, issue.2, pp.337-351, 1998.
DOI : 10.1007/PL00004617

B. Bourdin, G. A. Francfort, and J. Marigo, Numerical experiments in revisited brittle fracture, Journal of the Mechanics and Physics of Solids, vol.48, issue.4, pp.48-797, 2000.
DOI : 10.1016/S0022-5096(99)00028-9

URL : http://orbit.dtu.dk/en/publications/numerical-experiments-in-revisited-brittle-fracture(440e40e2-c8bc-4e02-a3aa-91240206b3ab).html

A. Braides, A. Chambolle, and M. Solci, A relaxation result for energies defined on pairs set-function and applications, ESAIM: Control, Optimisation and Calculus of Variations, vol.42, issue.4, pp.717-734, 2007.
DOI : 10.1002/cpa.3160420503

A. Chambolle, A density result in two-dimensional linearized elasticity, and applications, Arch. Ration. Mech. Anal [13] , An approximation result for special functions with bounded deformation, J. Math. Pures Appl, vol.167, issue.9, pp.211-233, 2003.
DOI : 10.1007/s00205-002-0240-7

A. Chambolle, S. Conti, and G. Francfort, Korn-Poincare inequalities for functions with a small jump set, Indiana University Mathematics Journal, vol.65, issue.4, pp.1373-1399, 2016.
DOI : 10.1512/iumj.2016.65.5852

URL : https://hal.archives-ouvertes.fr/hal-01091710

A. Chambolle, S. Conti, and F. Iurlano, Approximation of functions with small jump sets and existence of strong minimizers of Griffith's energy, 2017.

A. Chambolle and V. Crismale, A Density Result In GSBD p With Applications To The Approximation Of Brittle Fracture Energies, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01573936

S. Conti, M. Focardi, and F. Iurlano, Integral representation for functionals defined on SBD p in dimension two, Arch. Ration Approximation of fracture energies with p-growth via piecewise affine finite elements, Existence of strong minimizers for the Griffith static fracture model in dimension two, pp.1337-1374, 2017.

G. and D. Maso, Generalised functions of bounded deformation, of Progress in Nonlinear Differential Equations and their Applications, pp.15-1943, 1993.

G. Dal-maso, J. Morel, and S. Solimini, A variational method in image segmentation: Existence and approximation results, Acta Mathematica, vol.168, issue.0, pp.89-151, 1992.
DOI : 10.1007/BF02392977

G. , D. Maso, and R. Toader, A model for the quasi-static growth of brittle fractures: existence and approximation results, Arch. Ration. Mech. Anal, vol.162, pp.101-135, 2002.

E. , D. Giorgi, and L. Ambrosio, New functionals in the calculus of variations, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur, vol.82, issue.8, pp.199-210, 1988.

E. De-giorgi, M. Carriero, and A. Leaci, Existence theorem for a minimum problem with free discontinuity set, Archive for Rational Mechanics and Analysis, vol.107, issue.4, pp.195-218, 1989.
DOI : 10.1007/978-1-4684-9486-0

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

M. Friedrich, A piecewise Korn inequality in SBD and applications to embedding and density results, 2016, Preprint. [29] , A derivation of linearized Griffith energies from nonlinear models A Korn-type inequality in SBD for functions with small jump sets, Math. Models Methods Appl, pp.425-467, 2017.

M. Friedrich and F. Solombrino, Quasistatic crack growth in 2d-linearized elasticity, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.35, issue.1, pp.27-64, 2018.
DOI : 10.1016/j.anihpc.2017.03.002

URL : http://arxiv.org/pdf/1604.08338

A. A. Griffith, The Phenomena of Rupture and Flow in Solids, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.221, issue.582-593, pp.163-198, 1920.
DOI : 10.1098/rsta.1921.0006

F. Iurlano, A density result for GSBD and its application to the approximation of brittle fracture energies, Calculus of Variations and Partial Differential Equations, vol.6, issue.1-2, pp.315-342, 2014.
DOI : 10.1007/BF00284617

F. Maddalena and S. Solimini, Lower Semicontinuity Properties of Functionals with Free Discontinuities, Archive for Rational Mechanics and Analysis, vol.159, issue.4, pp.273-294, 2001.
DOI : 10.1007/s002050100153

D. Mumford and J. Shah, Boundary detection by minimizing functionals, Proc. IEEE Conf. on Computer Vision and Pattern Recognition, 1985.

R. Temam, Mathematical problems in plasticity, Gauthier-Villars Translation of Problèmes mathématiques en plasticité, 1983.