S. Marfia and E. Sacco, Numerical Procedure for Elasto-Plastic No-Tension Model, International Journal for Computational Methods in Engineering Science and Mechanics, vol.13, issue.3, pp.99-187, 2005.
DOI : 10.1016/0020-7683(95)00143-3

P. B. Lourenço, Continuum Model for Masonry: Parameter Estimation and Validation, Journal of Structural Engineering, vol.124, issue.6, pp.642-652, 1998.
DOI : 10.1061/(ASCE)0733-9445(1998)124:6(642)

D. Pasquale and S. , New trends in the analysis of masonry structures, Meccanica, vol.27, issue.3, pp.173-84, 1992.
DOI : 10.1007/BF00430043

J. Sulem and H. B. Muhlhaus, A continuum model for periodic twodimensional block structures, Mechanics of Cohesive-Frictional Materials, pp.31-46, 1997.

R. Masiani and P. Trovalusci, Cosserat and Cauchy materials as continuum models of brick masonry, Meccanica, vol.28, issue.4, pp.421-432, 1996.
DOI : 10.1007/BF00429930

A. Anthoine, Derivation of the in-plane elastic characteristics of masonry through homogenization theory, International Journal of Solids and Structures, vol.32, issue.2, pp.137-163, 1995.
DOI : 10.1016/0020-7683(94)00140-R

R. Ushaksarei and S. Pietruszczak, Failure Criterion for Structural Masonry based on Critical Plane Approach, Journal of Engineering Mechanics, vol.128, issue.7, pp.769-778, 2002.
DOI : 10.1061/(ASCE)0733-9399(2002)128:7(769)

A. Zucchini and P. B. Loureno, A coupled homogenization-damage model for masonry cracking, Computers and Structures, pp.917-929, 2004.

K. Chaimoon and M. Attard, Modeling of unreinforced masonry walls under shear and compression, Engineering Structures 29, pp.2056-2068, 2007.

G. Giambanco, D. Gati, and L. , A cohesive interface model for the structural mechanics of block masonry, Mechanics Research Communications, vol.24, issue.5, pp.503-512, 1997.
DOI : 10.1016/S0093-6413(97)00055-4

C. Dobert, R. Mahnken, and E. Stein, Numerical simulation of interface debonding with a combined damage/friction constitutive model, Computational Mechanics, pp.456-467, 2000.

M. Kachanov, Solids with cracks and non-spherical pores: proper parameters of defect density and effective elastic properties, International Journal of Fracture, vol.97, issue.1/4, pp.1-32, 1999.
DOI : 10.1023/A:1018345702490

A. Rekik and F. Lebon, Homogenization methods for interface modeling in damaged masonry, paper submitted to Computers and Structures, 2008.

M. Touzet, F. Le-poulain, I. Aubert, and M. Puiggali, The incremental self-consistent scheme applied to active stress corrosion cracks, Mechanics of Materials, vol.38, issue.7, pp.620-632, 2006.
DOI : 10.1016/j.mechmat.2005.11.007

P. Pegon and A. Anthoine, Numerical strategies for solving continuum damage problems with softening: Application to the homogenization of Masonry, Computers & Structures, vol.64, issue.1-4, pp.623-642, 1997.
DOI : 10.1016/S0045-7949(96)00153-8

W. Chengqing and H. Hong, Derivation of 3D masonry properties using numerical homogenization technique, International Journal For Numerical Methods in Engineering, vol.66, pp.1717-1737, 2006.

P. De-buhan and G. De-felice, A homogenization approach to the ultimate strength of brick masonry, Journal of the Mechanics and Physics of Solids, vol.45, issue.7, pp.1085-104, 1997.
DOI : 10.1016/S0022-5096(97)00002-1

URL : https://hal.archives-ouvertes.fr/hal-00111570

R. Luciano and E. Sacco, Homogenization technique and damage model for old masonry material, International Journal of Solids and Structures, vol.34, issue.24, pp.3191-208, 1997.
DOI : 10.1016/S0020-7683(96)00167-9

G. Alpa and I. Monetto, Microstructural model for dry block masonry walls with in-plane loading, Journal of the Mechanics and Physics of Solids, vol.42, issue.7, pp.1159-1175, 1994.
DOI : 10.1016/0022-5096(94)90065-5

F. Cluni and V. Gusella, Homogenization of non-periodic masonry structures, International Journal of Solids and Structures, vol.41, issue.7, pp.1911-1923, 2004.
DOI : 10.1016/j.ijsolstr.2003.11.011

H. R. Lotfi and P. B. Shing, Interface Model Applied to Fracture of Masonry Structures, Journal of Structural Engineering, vol.120, issue.1, pp.63-80, 1994.
DOI : 10.1061/(ASCE)0733-9445(1994)120:1(63)

P. B. Lourenço and J. Rots, Multisurface Interface Model for Analysis of Masonry Structures, Journal of Engineering Mechanics, vol.123, issue.7, pp.660-668, 1997.
DOI : 10.1061/(ASCE)0733-9399(1997)123:7(660)

C. Pelissou and F. Lebon, Asymptotic modeling of quasi-brittle interfaces, Computers and Structures, pp.1216-1223, 2009.

P. Pegon, A. Pinto, and M. Géradin, Numerical modeling of stone-block monumental structures, Computers and Structures, pp.2165-2181, 2001.

Z. Hashin, The differential scheme and its application to cracked materials, Journal of the Mechanics and Physics of Solids, vol.36, issue.6, pp.719-734, 1988.
DOI : 10.1016/0022-5096(88)90005-1

B. Budiansky and R. J. O-'connell, Elastic moduli of a cracked solid, International Journal of Solids and Structures, vol.12, issue.2, pp.81-97, 1976.
DOI : 10.1016/0020-7683(76)90044-5

A. Hoenig, Elastic moduli of a non-randomly cracked body, International Journal of Solids and Structures, vol.15, issue.2, pp.137-154, 1979.
DOI : 10.1016/0020-7683(79)90018-0

Y. Benveniste, On the Mori-Tanaka's method in cracked bodies, Mechanics Research Communications, vol.13, issue.4, pp.193-201, 1986.
DOI : 10.1016/0093-6413(86)90018-2

H. Deng and S. Nemat-nasser, Microcrack arrays in isotropic solids, Mechanics of Materials, vol.13, issue.1, pp.15-36, 1992.
DOI : 10.1016/0167-6636(92)90033-A

N. Laws and G. J. Dovrak, The effect of fiber breaks and aligned penny-shaped cracks on the stiffness and energy release rates in unidirectional composites, International Journal of Solids and Structures, vol.23, issue.9, pp.1269-1283, 1987.
DOI : 10.1016/0020-7683(87)90105-3

Z. Hashin, The differential scheme and its application to cracked materials, Journal of the Mechanics and Physics of Solids, vol.36, issue.6, pp.719-734, 1988.
DOI : 10.1016/0022-5096(88)90005-1

P. Ponte-castañeda and J. R. Willis, The effect of spatial distribution on the effective behavior of composite materials and cracked media, Journal of the Mechanics and Physics of Solids, vol.43, issue.12, pp.1919-1951, 1995.
DOI : 10.1016/0022-5096(95)00058-Q

A. Gabor, E. Ferrier, E. Jacquelin, and P. Hamelin, Analysis of the in-plane shear behaviour of FRP reinforced hollow brick masonry walls, Structural Engineering and Mechanics, vol.19, issue.3, pp.237-260, 2005.
DOI : 10.12989/sem.2005.19.3.237

A. Gabor, A. Bennani, E. Jacquelin, and F. Lebon, Modelling approaches of the in-plane shear behaviour of unreinforced and FRP strengthened masonry panels, Composite Structures, vol.74, issue.3, pp.277-288, 2006.
DOI : 10.1016/j.compstruct.2005.04.012

URL : https://hal.archives-ouvertes.fr/hal-00089018

F. Fouchal, F. Lebon, and I. Titeux, Contribution to the modelling of interfaces in masonry construction, Construction and Building Materials, vol.23, issue.6, pp.2428-2441, 2009.
DOI : 10.1016/j.conbuildmat.2008.10.011

URL : https://hal.archives-ouvertes.fr/hal-00097711

C. Mauge and M. Kachanov, Effective elastic properties of an anisotropic material with arbitrarily oriented interacting cracks, Journal of the Mechanics and Physics of Solids, vol.42, issue.4, pp.561-584, 1994.
DOI : 10.1016/0022-5096(94)90052-3

M. Kachanov, Effective Elastic Properties of Cracked Solids: Critical Review of Some Basic Concepts, Applied Mechanics Reviews, vol.45, issue.8, pp.304-335, 1992.
DOI : 10.1115/1.3119761

M. Kachanov, Elastic solids with many cracks and related problems Advances in Applied Mechanics, pp.259-445, 1993.

H. R. Lotfi and P. B. Shing, An appraisal of smeared crack models for masonry shear wall analysis, Computers & Structures, vol.41, issue.3, pp.413-425, 1991.
DOI : 10.1016/0045-7949(91)90134-8

F. Lebon and S. Ronel-idrissi, First-Order Numerical Analysis of Linear Thin Layers, Journal of Applied Mechanics, vol.74, issue.4, pp.824-828, 2007.
DOI : 10.1115/1.2424716

URL : https://hal.archives-ouvertes.fr/hal-00106899

F. Lebon, R. Rizzoni, and S. Ronel-idrissi, Analysis of non-linear soft thin interfaces, Computers and Structures, pp.1929-1938, 2004.

F. Lebon, O. Khaoua, A. Licht, and C. , Numerical study of soft adhesively bounded joints in finite elasticity, Computational Mechanics, pp.134-1998, 1998.

F. Lebon, Contact problems with friction: models and simulation, Simulation Modelling Practice and Theory, pp.449-463, 2003.

A. Rekik, M. Bornert, F. Auslender, and A. Zaoui, A methodology for an accurate evaluation of the linearization procedures in nonlinear mean field homogenization, Comptes Rendus M??canique, vol.333, issue.11, pp.789-795, 2005.
DOI : 10.1016/j.crme.2005.10.002

URL : https://hal.archives-ouvertes.fr/hal-00156073

A. Rekik, F. Auslender, M. Bornert, and A. Zaoui, Objective evaluation of linearization procedures in nonlinear homogenization: A methodology and some implications on the accuracy of micromechanical schemes, International Journal of Solids and Structures, vol.44, issue.10, pp.3468-3496, 2007.
DOI : 10.1016/j.ijsolstr.2006.10.001

URL : https://hal.archives-ouvertes.fr/hal-00111454

F. Zaittouni, F. Lebon, and C. Licht, ??tude th??orique et num??rique du comportement d'un assemblage de plaques, Comptes Rendus M??canique, vol.330, issue.5, pp.359-364, 2002.
DOI : 10.1016/S1631-0721(02)01469-9

J. F. Shao, D. Hoxha, M. Bart, F. Homand, G. Duveau et al., Modelling of induced anisotropic damage in granites, International Journal of Rock Mechanics and Mining Sciences, vol.36, issue.8, pp.1001-1012, 1999.
DOI : 10.1016/S1365-1609(99)00070-2

A. Zaoui, Propriétés non linéaires des composites: approches en champ moyen Homogénéisation en mécanique des matériaux, Hermes Science, vol.1, issue.2, pp.17-44, 2001.

M. Bornert and P. Suquet, Propriétés non linéaires des composites: approches par les potentiels, Homogénéisation en mécanique des matériaux, pp.45-90, 2001.

C. Boutin, Microstructural effects in elastic composites, International Journal of Solids and Structures, vol.33, issue.7, pp.1023-1051, 1996.
DOI : 10.1016/0020-7683(95)00089-5

URL : https://hal.archives-ouvertes.fr/hal-00940462

K. Park, G. H. Paulino, and J. R. Roesler, Determination of the kink point in the bilinear softening model for concrete, Engineering Fracture Mechanics, vol.75, issue.13, pp.3806-3818, 2008.
DOI : 10.1016/j.engfracmech.2008.02.002

K. Chaimoon and M. M. Attard, Experimental and numerical investigation of masonry under thee-point bending (in-plane), Engineering Structures, pp.103-112, 2009.

S. Parvanova and G. Gospodiniv, Development of " event-to-event " nonlinear technique to lightly reinforced concrete beams by simplified constitutive modeling, International Journal of Solids and Structures, In press 14 Deformation and local shear stress snapshot at the corner of a wall (without the unilateral contact condition) subjected to diagonal compression: numerical test with the identified ultimate crack length value l u = 1, p.40