N. Moës, J. Dolbow, and T. Belytschko, A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, vol.46, issue.1, pp.133-150, 1999.
DOI : 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.3.CO;2-A

J. Réthoré, S. Roux, and F. Hild, Hybrid analytical and extended finite element method (HAX-FEM): A new enrichment procedure for cracked solids, International Journal for Numerical Methods in Engineering, vol.150, issue.5-7
DOI : 10.1002/nme.2691

Z. Bazant and G. , Nonlocal Continuum Damage, Localization Instability and Convergence, Journal of Applied Mechanics, vol.55, issue.2, pp.287-293, 1988.
DOI : 10.1115/1.3173674

M. Williams, The Bending Stress Distribution at the Base of a Stationary Crack, Journal of Applied Mechanics, vol.28, issue.1, pp.109-114, 1957.
DOI : 10.1115/1.3640470

X. Suo and A. , On the application of G(??) method and its comparison with De Lorenzi's approach, Nuclear Engineering and Design, vol.135, issue.2, pp.207-224, 1992.
DOI : 10.1016/0029-5493(92)90223-I

H. B. Dhia and G. Rateau, The Arlequin method as a flexible engineering design tool, International Journal for Numerical Methods in Engineering, vol.193, issue.11, pp.1442-1462, 2005.
DOI : 10.1002/nme.1229
URL : https://hal.archives-ouvertes.fr/hal-00018915

M. Nooru-mohamed, Mixed-mode fracture of concrete: An experimental approach, 1992.

J. Sethian, Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision, and material science, 1996.

R. and D. Borst, Some recent developments in computational modelling of concrete fracture, International Journal of Fracture, vol.86, issue.1/2, pp.5-36, 1997.
DOI : 10.1023/A:1007360521465

T. Gasser and G. Holzapfel, 3D crack propagation in unreinforced concrete. A two-step algorithm for tracking 3D crack paths, Computer Methods in Applied Mechanics and Engineering, vol.195, pp.37-40, 2006.

P. Pivonka, J. Ozbolt, R. Lackner, and H. Mang, Comparative studies of 3D-constitutive models for concrete: application to mixed-mode fracture, International Journal for Numerical Methods in Engineering, vol.60, issue.2, pp.549-570, 2004.
DOI : 10.1002/nme.975

B. Patzák and M. Jirásek, Adaptive Resolution of Localized Damage in Quasi-brittle Materials, Journal of Engineering Mechanics, vol.130, issue.6, pp.720-732, 2004.
DOI : 10.1061/(ASCE)0733-9399(2004)130:6(720)