S. L. Angioni, M. Meoa, and A. Foreman, A comparison of homogenization methods for 2-D woven composites, Composites Part B: Engineering, vol.42, issue.2, pp.181-189, 2011.
DOI : 10.1016/j.compositesb.2010.10.004

M. Ansar, W. Xinwei, and Z. Chouwei, Modeling strategies of 3D woven composites: A review Composite Structures, pp.1947-1963, 2011.

F. Armero and D. Ehrlich, Finite element methods for the multi-scale modeling of softening hinge lines in plates at failure, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.13-16, pp.13-16, 2006.
DOI : 10.1016/j.cma.2005.05.040

P. Badel, E. Vidal-salle, E. Maire, and P. Boisse, Simulation and tomography analysis of textile composite reinforcement deformation at the mesoscopic scale, Composites Science and Technology, vol.68, issue.12, pp.2433-2440, 2008.
DOI : 10.1016/j.compscitech.2008.04.038
URL : https://hal.archives-ouvertes.fr/hal-00850080

T. Belytschko, S. Loehnert, and J. H. Song, Multiscale aggregating discontinuities: A method for circumventing loss of material stability, International Journal for Numerical Methods in Engineering, vol.69, issue.5, pp.869-894, 2008.
DOI : 10.1002/nme.2082

T. Belytschko and J. H. Song, Coarse-graining of multiscale crack propagation, International Journal for Numerical Methods in Engineering, vol.19, issue.3, pp.537-563, 2010.
DOI : 10.1002/nme.2694

A. Bensoussan, J. L. Lions, and G. Papanicolaou, Asymptotic analysis for periodic structures, 1978.

J. Besson, G. Cailletaud, and J. L. , Chaboche and S. Forest Mécanique non linéaire des matériaux, Hermès, 2001.

J. Besson and R. Foerch, Large scale object-oriented finite element code design, Computer Methods in Applied Mechanics and Engineering, vol.142, issue.1-2, pp.165-187, 1997.
DOI : 10.1016/S0045-7825(96)01124-3

R. De-borst, L. J. Sluys, H. B. Muhlhaus, and J. Pamin, FUNDAMENTAL ISSUES IN FINITE ELEMENT ANALYSES OF LOCALIZATION OF DEFORMATION, Engineering Computations, vol.10, issue.2, pp.99-121, 1993.
DOI : 10.1108/eb023897

S. Brasile, R. Casciaro, and G. Formica, Multilevel approach for brick masonry walls ??? Part I: A numerical strategy for the nonlinear analysis, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.49-52, pp.4934-4951, 2007.
DOI : 10.1016/j.cma.2007.06.021

P. Cartraud and T. Messager, Computational homogenization of periodic beam-like structures, International Journal of Solids and Structures, vol.43, issue.3-4, pp.3-4, 2006.
DOI : 10.1016/j.ijsolstr.2005.03.063
URL : https://hal.archives-ouvertes.fr/hal-01005985

A. Cecchi and K. Sab, A homogenized Reissner???Mindlin model for orthotropic periodic plates: Application to brickwork panels, International Journal of Solids and Structures, vol.44, issue.18-19, pp.18-19, 2007.
DOI : 10.1016/j.ijsolstr.2007.02.009

K. S. Challagulla, A. Georgiades, G. C. Saha, and A. L. Kalamkarov, Micromechanical analysis of grid-reinforced thin composite generally orthotropic shells, Composites Part B: Engineering, vol.39, issue.4, pp.627-644, 2008.
DOI : 10.1016/j.compositesb.2007.06.005

E. W. Coenen, V. G. Kouznetsova, and M. G. Geers, Computational homogenization for heterogeneous thin sheets, International Journal for Numerical Methods in Engineering, vol.33, issue.1, pp.8-9, 2010.
DOI : 10.1002/nme.2833

S. Daggumati, W. Van-paepegem, J. Degrieck, J. Xu, S. V. Lomov et al., Local damage in a 5-harness satin weave composite under static tension: Part II ??? Meso-FE modelling, Composites Science and Technology, vol.70, issue.13, pp.1934-1941, 2010.
DOI : 10.1016/j.compscitech.2010.07.002
URL : https://hal.archives-ouvertes.fr/hal-00681633

V. S. Deshpande and N. A. Fleck, Collapse of truss core sandwich beams in 3-point bending, International Journal of Solids and Structures, vol.38, issue.36-37, pp.6275-6305, 2001.
DOI : 10.1016/S0020-7683(01)00103-2

F. Feyel and J. L. Chaboche, FE 2 multiscale approach for modelling the elastoviscoplastic behaviour of long fiber SiC/Ti composite materials, Computer Methods in Applied Mechanics and Engineering, vol.183, pp.3-4, 2000.

A. Gasser, P. Boisse, and S. Hanklar, Mechanical behaviour of dry fabric reinforcements. 3D simulations versus biaxial tests, Computational Materials Science, vol.17, issue.1, pp.7-20, 2000.
DOI : 10.1016/S0927-0256(99)00086-5

M. G. Geers, E. W. Coenen, and V. G. Kouznetsova, Multi-scale computational homogenization of structured thin sheets, Modelling and Simulation in Materials Science and Engineering, vol.15, issue.4, pp.393-404, 2007.
DOI : 10.1088/0965-0393/15/4/S06

A. Ibrahimbegovic and D. Markovic, Strong coupling methods in multi-phase and multi-scale modeling of inelastic behavior of heterogeneous structures, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.28-30, pp.28-30, 2003.
DOI : 10.1016/S0045-7825(03)00342-6

D. S. Ivanov, S. V. Lomov, S. G. Ivanov, and I. Verpoest, Stress distribution in outer and inner plies of textile laminates and novel boundary conditions for unit cell analysis, Composites Part A: Applied Science and Manufacturing, vol.41, issue.4, pp.571-580, 2010.
DOI : 10.1016/j.compositesa.2010.01.004

H. E. Johnson, L. A. Louca, S. Mouring, and A. S. Fallah, Modelling impact damage in marine composite panels, International Journal of Impact Engineering, vol.36, issue.1, pp.25-39, 2009.
DOI : 10.1016/j.ijimpeng.2008.01.013
URL : https://hal.archives-ouvertes.fr/hal-00545294

A. L. Kalamkarov, I. V. Andrianov, and V. V. Danishevs-'kyy, Asymptotic Homogenization of Composite Materials and Structures, Applied Mechanics Reviews, vol.62, issue.3, p.30802, 2009.
DOI : 10.1115/1.3090830

V. G. Kouznetsova, W. A. Brekelmans, and F. P. Baaijens, An approach to micro-macro modeling of heterogeneous materials, Computational Mechanics, vol.27, issue.1, pp.37-48, 2001.
DOI : 10.1007/s004660000212

V. G. Kouznetsova, M. G. Geers, and W. A. Brekelmans, Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.48-51, pp.48-51, 2004.
DOI : 10.1016/j.cma.2003.12.073

J. Lemaitre and J. L. , Chaboche Mécanique des matériaux solides, Dunod, 1985.

S. V. Lomov, Meso-FE modelling of textile composites: Road map, data flow and algorithms, Composites Science and Technology, vol.67, issue.9, pp.1870-1891, 2007.
DOI : 10.1016/j.compscitech.2006.10.017

J. Makowski and H. Stumpf, Strain localization in stress-resultant theory of shells, Mechanics Research Communications, vol.25, issue.4, pp.455-465, 1998.
DOI : 10.1016/S0093-6413(98)00060-3

T. J. Massart, R. H. Peerlings, and M. G. Geers, An enhanced multi-scale approach for masonry wall computations with localization of damage, International Journal for Numerical Methods in Engineering, vol.333, issue.5, pp.1022-1059, 2007.
DOI : 10.1002/nme.1799

T. J. Massart, R. H. Peerlings, and M. G. , Structural Damage Analysis of Masonry Walls using Computational Homogenization, International Journal of Damage Mechanics, vol.16, issue.2, pp.199-226, 2007.
DOI : 10.1177/1056789506064943
URL : https://hal.archives-ouvertes.fr/hal-00571157

B. C. Mercatoris, P. Bouillard, and T. J. Massart, Multi-scale detection of failure in planar masonry thin shells using computational homogenisation, Engineering Fracture Mechanics, vol.76, issue.4, pp.479-499, 2009.
DOI : 10.1016/j.engfracmech.2008.10.003

B. C. Mercatoris and T. J. Massart, Assessment of Periodic Homogenization-Based Multiscale Computational Schemes for Quasi-Brittle Structural Failure, International Journal for Multiscale Computational Engineering, vol.7, issue.2, pp.153-170, 2009.
DOI : 10.1615/IntJMultCompEng.v7.i2.60

B. C. Mercatoris and T. J. Massart, A coupled two-scale computational scheme for the failure of periodic quasi-brittle thin planar shells and its application to masonry, International Journal for Numerical Methods in Engineering, vol.2, issue.4, pp.1177-1206, 2011.
DOI : 10.1002/nme.3018

M. Mistler, A. Anthoine, and C. Butenweg, In-plane and out-of-plane homogenisation of masonry, Computers & Structures, vol.85, issue.17-18, pp.17-18, 2007.
DOI : 10.1016/j.compstruc.2006.08.087

G. Nilakantan, M. Keefe, T. A. Bogetti, R. Adkinson, and J. W. Gillespie, On the finite element analysis of woven fabric impact using multiscale modeling techniques, International Journal of Solids and Structures, vol.47, issue.17, pp.2300-2315, 2010.
DOI : 10.1016/j.ijsolstr.2010.04.029

R. H. Peerlings and N. A. Fleck, Computational Evaluation of Strain Gradient Elasticity Constants, International Journal for Multiscale Computational Engineering, vol.2, issue.4, pp.599-619, 2004.
DOI : 10.1615/IntJMultCompEng.v2.i4.60

B. Piezel, L. Laiarinandrasana, E. Mansour, J. Renard, and A. Thionnet, Analyse experimentale d'un composite textile en vue d'une modelisation multi-´ echelles, 16e Journées Nationale sur les Composites ? JNC 16, 2009.

R. J. Smit, W. A. Brekelmans, and H. E. Meijer, Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling, Computer Methods in Applied Mechanics and Engineering, vol.155, issue.1-2, pp.181-192, 1998.
DOI : 10.1016/S0045-7825(97)00139-4

P. Suquet, Elements of homogenization for inelastic solid mechanics In: Homogenization techniques for composite media, 1987.

K. I. Tserpes, G. Labeas, and S. Pantelakis, Multi-scale modeling of the mechanical response of plain weave composites and cellular solids Theoretical and Applied Fracture Mechanics, pp.172-179, 2010.

I. Verpoest and S. V. Lomov, Virtual textile composites software : Integration with micro-mechanical, permeability and structural analysis, Composites Science and Technology, vol.65, issue.15-16, pp.2563-2574, 2005.
DOI : 10.1016/j.compscitech.2005.05.031

P. N. Vinh, O. Lloberas-valls, M. Stroeven, and L. J. Sluys, Homogenization-based multiscale crack modelling: From micro-diffusive damage to macro-cracks, Computer Methods in Applied Mechanics and Engineering, vol.200, pp.9-12, 2011.

H. N. Wadley, N. A. Fleck, and A. G. Evans, Fabrication and structural performance of periodic cellular metal sandwich structures [46] J. Zeman and M. ? Sejnoha. From random microstructures to representative volume elements, Composites Science and Technology Modelling and Simulation in Materials Science and Engineering, vol.63, issue.154, pp.2331-2343, 2003.