Z. Baz-?ant, D. Luzio, and G. , Non local microplane model with strain softening yield limits, Int. J. Solids Struct, vol.41, issue.7209, p.7240, 2004.

Z. Baz-?ant, Y. Xiang, and P. Prat, Microplane model for concrete. I: Stress strain boundaries and finite strain, J. Eng. Mech. (ASCE), vol.122, issue.245, p.254, 1996.

Z. Baz-?ant, Y. Xiang, M. Adley, P. Prat, and S. Akers, Microplane model for concrete. II: Data delocalization and verification, J. Eng. Mech. (ASCE), vol.122, issue.255, p.262, 1996.

G. Bolzon, R. Fedele, and G. Maier, Parameter identification of a cohesive crack model by Kalman filter, Computer Methods in Applied Mechanics and Engineering, vol.191, issue.25-26, 2002.
DOI : 10.1016/S0045-7825(02)00223-2

A. Brenchic and L. Gambarotta, Isotropic damage model with different tensile compressive response for brittle materials, Int. J. Solids Struct, vol.38, issue.5865, p.5892, 2001.

D. Carlson and A. Hoger, The derivative of a tensor-valued function of a tensor, Quarterly of Applied Mathematics, vol.44, issue.3, p.423, 1986.
DOI : 10.1090/qam/860894

I. Carol, M. Jirásek, and Z. Baz-?ant, A thermodynamically consistent approach to microplane theory. Part I. Free energy and consistent microplane stresses, International Journal of Solids and Structures, vol.38, issue.17, 2001.
DOI : 10.1016/S0020-7683(00)00212-2

C. Comi and U. Perego, Fracture energy based bi-dissipative damage model for concrete, International Journal of Solids and Structures, vol.38, issue.36-37, p.6454, 2001.
DOI : 10.1016/S0020-7683(01)00066-X

L. Contrafatto and M. Cuomo, On a thermodynamically consistent continuum model for concrete coupled with quasi isotropic damage, Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering ECCOMAS 2000, 2000.

L. Contrafatto and M. Cuomo, A new thermodynamically consistent continuum model for hardening plasticity coupled with damage, International Journal of Solids and Structures, vol.39, issue.25, p.6271, 2002.
DOI : 10.1016/S0020-7683(02)00470-5

URL : https://hal.archives-ouvertes.fr/hal-00878757

L. Contrafatto and M. Cuomo, A global convergent numerical algorithm for damaging elasto plasticity based on the multiplier method, Int. J. Numer. Methods Eng, vol.63, 2005.

A. Curnier, Q. C. He, and P. Zysset, Conewise linear elastic materials, Journal of Elasticity, vol.2, issue.1, p.38, 1993.
DOI : 10.1007/BF00043417

F. Dimaggio and I. Sandler, Material model for granular soils, J. Eng. Mech. Div. ASCE, vol.97, issue.935, p.950, 1971.

A. Dragon, D. Halm, and T. Désoyer, Anisotropic damage in quasi-brittle solids: modelling, computational issues and applications, Computer Methods in Applied Mechanics and Engineering, vol.183, issue.3-4, p.352, 2000.
DOI : 10.1016/S0045-7825(99)00225-X

R. Faria, J. Oliver, and M. Cervera, A strain-based plastic viscous-damage model for massive concrete structures, International Journal of Solids and Structures, vol.35, issue.14, pp.1533-1558, 1998.
DOI : 10.1016/S0020-7683(97)00119-4

M. Frémond and B. Nedjar, Damage in concrete: the unilateral phenomenon, Nuclear Engineering and Design, vol.156, issue.1-2, p.335, 1995.
DOI : 10.1016/0029-5493(94)00970-A

L. Gambarotta, Friction-damage coupled model for brittle materials, Engineering Fracture Mechanics, vol.71, issue.4-6, p.836, 2004.
DOI : 10.1016/S0013-7944(03)00020-1

P. Germain, . Masson, S. Green, and S. Swanson, Mécanique des Milieux Continues Static constitutive relations for concrete, 1973.

B. Halphen and Q. Nguyen, Sur les matériaux standards généralisés, J. Mecanique, vol.14, issue.39, p.63, 1975.

N. Hansen and H. Schreyer, A thermodynamically consistent framework for theories of elastoplasticity coupled with damage, International Journal of Solids and Structures, vol.31, issue.3, p.389, 1994.
DOI : 10.1016/0020-7683(94)90112-0

I. Imran and S. Pantazopoulou, Experimental study of plain concrete under triaxial stress, ACI Mater. J, vol.93, issue.589, p.601, 1996.

A. Jefferson, Craft??????a plastic-damage-contact model for concrete. I. Model theory and thermodynamic considerations, International Journal of Solids and Structures, vol.40, issue.22, p.5999, 2003.
DOI : 10.1016/S0020-7683(03)00390-1

M. Jirásek and T. Zimmermann, Rotating Crack Model with Transition to Scalar Damage, Journal of Engineering Mechanics, vol.124, issue.3, p.284, 1998.
DOI : 10.1061/(ASCE)0733-9399(1998)124:3(277)

M. Klisinski and Z. Mró-z, Description of inelastic deformation and degradation of concrete, International Journal of Solids and Structures, vol.24, issue.4, pp.391-416, 1988.
DOI : 10.1016/0020-7683(88)90070-4

K. Ciska?, H. Skrzypek, and J. , CDM based modelling of damage and fracture mechanisms in concrete under tension and compression, Eng. Fract. Mech, vol.71, issue.681, p.698, 2004.

H. Kupfer and K. Gerstle, Behavior of concrete under biaxial stresses, J. Eng. Mech. Div. (ASCE), vol.99, issue.853, p.866, 1973.

A. Litewka and J. Debinski, Load-induced oriented damage and anisotropy of rock-like materials, International Journal of Plasticity, vol.19, issue.12, 2003.
DOI : 10.1016/S0749-6419(03)00064-0

P. Lu, Q. Li, and Y. Song, Damage constitutive of concrete under uniaxial alternate tension???compression fatigue loading based on double bounding surfaces, International Journal of Solids and Structures, vol.41, issue.11-12, pp.3151-3166, 2004.
DOI : 10.1016/j.ijsolstr.2004.01.026

V. Lubarda, D. Krajcinovic, and S. Mastlovic, Damage model for brittle elastic solids with unequal tensile and compressive strenghts, Eng. Fract. Mech, vol.49, issue.681, p.697, 1994.

J. Lubliner, J. Oliver, S. Oller, and E. Onate, A plastic-damage model for concrete, International Journal of Solids and Structures, vol.25, issue.3, p.326, 1989.
DOI : 10.1016/0020-7683(89)90050-4

B. Luccioni, S. Oller, and R. Danesi, Coupled plastic damage model, Comput. Methods Appl. Mech. Eng, vol.129, issue.81, p.89, 1996.

S. Marfia, Z. Rinaldi, and E. Sacco, Softening behavior of reinforced concrete beams under cyclic loading, International Journal of Solids and Structures, vol.41, issue.11-12, p.3316, 2004.
DOI : 10.1016/j.ijsolstr.2003.12.015

J. Mazars, A description of micro- and macroscale damage of concrete structures, Engineering Fracture Mechanics, vol.25, issue.5-6, p.737, 1986.
DOI : 10.1016/0013-7944(86)90036-6

J. Mosler and O. Bruhns, A 3D anisotropic elastoplastic damage model using discontinuos displacement fields, Int. J. Numer. Methods Eng, vol.60, issue.923, p.948, 2004.
DOI : 10.1002/nme.1004

S. Murakami and K. Kamiya, Constitutive and damage evolution equations of elastic-brittle materials based on irreversible thermodynamics, International Journal of Mechanical Sciences, vol.39, issue.4, pp.473-486, 1997.
DOI : 10.1016/S0020-7403(97)87627-8

M. Ortiz, A constitutive theory for the inelastic behavior of concrete, Mechanics of Materials, vol.4, issue.1, p.93, 1985.
DOI : 10.1016/0167-6636(85)90007-9

N. Ottosen, A failure criterion for concrete, J. Eng. Mech. Divi. (ASCE), vol.103, issue.4, pp.527-535, 1977.

E. Papa and A. Taliercio, Anisotropic damage model for the multiaxial static and fatigue behaviour of plain concrete, Engineering Fracture Mechanics, vol.55, issue.2, p.179, 1996.
DOI : 10.1016/0013-7944(96)00004-5

P. Papadopulos and J. Lu, On the formulation and numerical solution of problems in anisotropic finite plasticity, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.37-38, p.4910, 2001.
DOI : 10.1016/S0045-7825(00)00355-8

H. Park and J. Kim, Plasticity model using multiple failure criteria for concrete in compression, International Journal of Solids and Structures, vol.42, issue.8, 2005.
DOI : 10.1016/j.ijsolstr.2004.09.029

S. Pietruszczak, J. Jiang, and F. Mirza, An elastoplastic constitutive model for concrete, International Journal of Solids and Structures, vol.24, issue.7, p.722, 1988.
DOI : 10.1016/0020-7683(88)90018-2

H. Reinhardt, Fracture mechanics of an elastic softening material like concrete, Heron, vol.29, issue.1, p.42, 1984.

L. Resende, A Damage mechanics constitutive theory for the inelastic behaviour of concrete, Computer Methods in Applied Mechanics and Engineering, vol.60, issue.1, p.93, 1987.
DOI : 10.1016/0045-7825(87)90130-7

M. Salari, S. Saeb, K. Willam, S. Patchet, and R. Carrasco, A coupled elastoplastic damage model for geomaterials, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.27-29, 2004.
DOI : 10.1016/j.cma.2003.11.013

A. Sellier and B. Bary, Coupled damage tensors and weakest link theory for the description of crack induced anisotropy in concrete, Engineering Fracture Mechanics, vol.69, issue.17, 2002.
DOI : 10.1016/S0013-7944(02)00069-3

D. Sfer, I. Carol, R. Gettu, and G. Etse, Study of the behaviour of concrete under triaxial compression, J. Eng. Mech. (ASCE), vol.128, issue.156, p.163, 2002.

R. Taylor, FEAP ? A Finite Element Analysis Program, 2002.

J. Van-mier, Strain softening of concrete under multiaxial loading conditions, 1984.