S. Abrate, Impact on Laminated Composite Materials, Applied Mechanics Reviews, vol.44, issue.4, pp.155-190, 1991.
DOI : 10.1115/1.3119500

S. Abrate, Impact on Laminated Composites: Recent Advances, Applied Mechanics Reviews, vol.47, issue.11, pp.517-544, 1994.
DOI : 10.1115/1.3111065

S. Abrate-]-abrate, Modeling of impacts on composite structures, Composite Structures, vol.51, issue.2, pp.129-138, 2001.
DOI : 10.1016/S0263-8223(00)00138-0

D. Airoldi, A. Airoldi, and C. G. Dávila, Identification of material parameters for modelling delamination in the presence of fibre bridging, Composite Structures, vol.94, issue.11, pp.94240-3249, 2012.
DOI : 10.1016/j.compstruct.2012.05.014

G. Alfano, On the influence of the shape of the interface law on the application of cohesive-zone models, Composites Science and Technology, vol.66, issue.6, pp.723-730, 2006.
DOI : 10.1016/j.compscitech.2004.12.024

C. Alfano, G. Alfano, and M. A. Crisfield, Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues, International Journal for Numerical Methods in Engineering, vol.26, issue.7, pp.1701-1736, 2001.
DOI : 10.1002/nme.93

S. Alfredsson, K. Alfredsson, and U. Stigh, Stability of beam-like fracture mechanics specimens, Engineering Fracture Mechanics, vol.89, pp.98-113, 2012.
DOI : 10.1016/j.engfracmech.2012.04.027

. Ammar, Proper generalized decomposition of time-multiscale models, International Journal for Numerical Methods in Engineering, vol.26, issue.6, pp.569-596, 2012.
DOI : 10.1002/nme.3331

URL : https://hal.archives-ouvertes.fr/hal-01007223

. Ammar, A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids, Journal of Non-Newtonian Fluid Mechanics, vol.139, issue.3, pp.153-176, 2006.
DOI : 10.1016/j.jnnfm.2006.07.007

URL : https://hal.archives-ouvertes.fr/hal-01004909

T. L. Anderson, Fracture Mechanics: Fundamentals and Applications, p.32, 2005.

. Aymerich, Simulation of multiple delaminations in impacted cross-ply laminates using a finite element model based on cohesive interface elements, Composites Science and Technology, vol.69, issue.11-12, pp.11-121699, 2009.
DOI : 10.1016/j.compscitech.2008.10.025

I. Babuska, Homogenization approach in engineering, lecture notes in economics and mathematical systems, Computer Methods in Applied Mechanics and Engineering, vol.134, pp.137-153, 1976.

. Balzani, . Wagner, C. Balzani, and W. Wagner, An interface element for the simulation of delamination in unidirectional fiber-reinforced composite laminates, Engineering Fracture Mechanics, vol.75, issue.9, pp.2597-2615, 2008.
DOI : 10.1016/j.engfracmech.2007.03.013

G. I. Barenblatt, The mathematical theory of equilibrium cracks in brittle fracture Advances in Applied Mechanics, pp.55-129, 1962.

. Bascom, The interlaminar fracture of organic-matrix, woven reinforcement composites, Composites, vol.11, issue.1, pp.9-18, 1980.
DOI : 10.1016/0010-4361(80)90016-6

. Bensoussan, In Asymptotic analysis for periodic structures, of Studies in Mathematics and Its Applications, p.84, 1978.

. Blackman, Mode II fracture testing of composites: a new look at an old problem, Engineering Fracture Mechanics, vol.73, issue.16, pp.732443-2455, 2006.
DOI : 10.1016/j.engfracmech.2006.05.022

. Bognet, Advanced simulation of models defined in plate geometries: 3D solutions with 2D computational complexity, Computer Methods in Applied Mechanics and Engineering, vol.201, issue.204, pp.201-2041, 2012.
DOI : 10.1016/j.cma.2011.08.025

URL : https://hal.archives-ouvertes.fr/hal-01462825

V. V. Bolotin, Delaminations in composite structures: Its origin, buckling, growth and stability, Composites Part B: Engineering, vol.27, issue.2, pp.29-145, 1996.
DOI : 10.1016/1359-8368(95)00035-6

V. V. Bolotin, Mechanics of delaminations in laminate composite structures, Mechanics of Composite Materials, vol.37, pp.5-6367, 2001.

. Borst, Cohesive-zone models, higher-order continuum theories and reliability methods for computational failure analysis, International Journal for Numerical Methods in Engineering, vol.60, issue.1, pp.89-315, 2004.
DOI : 10.1002/nme.963

URL : https://hal.archives-ouvertes.fr/hal-00450612

A. Brandt, Multi-level adaptive solutions to boundary-value problems, Mathematics of Computation, vol.31, issue.138, pp.333-390, 1977.
DOI : 10.1090/S0025-5718-1977-0431719-X

A. Brandt, Guide to multigrid development, Conference on Multigrid Methods, pp.220-312, 1982.
DOI : 10.1016/0146-664X(81)90046-0

O. Camacho, G. T. Camacho, and M. Ortiz, Computational modelling of impact damage in brittle materials, International Journal of Solids and Structures, vol.33, issue.20-22, pp.2899-2938, 1996.
DOI : 10.1016/0020-7683(95)00255-3

M. Cantwell, W. J. Cantwell, and J. Morton, The impact resistance of composite materials ??? a review, Composites, vol.22, issue.5, pp.347-362, 1991.
DOI : 10.1016/0010-4361(91)90549-V

. Chai and H. Chai, The characterization of Mode I delamination failure in non-woven, multidirectional laminates, Composites, vol.15, issue.4, pp.277-290, 1984.
DOI : 10.1016/0010-4361(84)90708-0

C. , M. Chan, T. F. Mathew, and T. P. , Domain decomposition algorithms, Acta Numerica, pp.61-143, 1994.

C. , S. Chandra, N. Shet, and C. , Micromechanistic perspective of cohesive zone approach in modelling fracture, Computer Modeling in Engineering and Sciences, vol.5, issue.1, pp.21-34, 2004.

P. Davies, Protocols for interlaminar fracture testing of composites, p.29, 1992.

P. Davies, Standard test methods for delamination resistance of composite materials: Current status, Applied Composite Materials, vol.5, issue.6, pp.345-364, 1998.
DOI : 10.1023/A:1008869811626

. De-moura, M. F. De-morais, and A. B. De-morais, Equivalent crack based analyses of ENF and ELS tests, Engineering Fracture Mechanics, vol.75, issue.9, pp.752584-2596, 2008.
DOI : 10.1016/j.engfracmech.2007.03.005

. Devitt, A method for determining the mode i delamination fracture toughness of elastic and viscoelastic composite materials, Journal of Composite Materials, vol.14, pp.270-285, 1980.

W. Ding, Delamination analysis of composite laminates, p.27, 1999.

C. R. Dohrmann, A Preconditioner for Substructuring Based on Constrained Energy Minimization, SIAM Journal on Scientific Computing, vol.25, issue.1, pp.246-258, 2003.
DOI : 10.1137/S1064827502412887

D. S. Dugdale, Yielding of steel sheets containing slits, Journal of the Mechanics and Physics of Solids, vol.8, issue.2, pp.100-104, 1960.
DOI : 10.1016/0022-5096(60)90013-2

J. D. Eshelby, The determination of the field of an ellipsoidal inclusion and related problems, Proceedings of the Royal Society of London, pp.376-396, 1957.

. Falk, A critical evaluation of cohesive zone models of dynamic fracture, J. R. Journal de Physique IV, vol.42, pp.543-550, 2001.

. Farhat, The second generation FETI methods and their application to the parallel solution of large-scale linear and geometrically non-linear structural analysis problems, Computer Methods in Applied Mechanics and Engineering, vol.184, issue.2-4, pp.333-374, 2000.
DOI : 10.1016/S0045-7825(99)00234-0

R. Farhat, C. Farhat, and F. X. Roux, A method of finite element tearing and interconnecting and its parallel solution algorithm, International Journal for Numerical Methods in Engineering, vol.28, issue.6, pp.1205-1227, 1991.
DOI : 10.1002/nme.1620320604

F. Feyel, F. Feyel, and J. L. Chaboche, Multiscale fe2 elastoviscoplastic analysis of composite structures Fe2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre sic/ti composite materials, Computational Materials Science Computer Methods in Applied Mechanics and Engineering, vol.16, issue.183, pp.344-354, 1999.

E. Fuoss, Effects of stacking sequence on the impact resistance of composite laminates, 1996.

. Glaessgen, Analytical and Experimental Studies of the Debonding of Stitched and Unstitched Composite Joints, Journal of Composite Materials, vol.28, issue.23, pp.362599-2622, 2002.
DOI : 10.1177/002199802761675629

. Glaessgen, P. Hodgkinson-]-glaessgen, and J. M. Hodgkinson, Interlaminar fracture toughness, Mechanical Testing of Advanced Fibre Composites, pp.170-210, 2000.

. Golub, . Ortega, G. H. Golub, and J. M. Ortega, Scientific computing: An introduction with parallel computing, 1993.
DOI : 10.1007/978-3-322-82981-8

R. Gosselet, P. Gosselet, and C. Rey, Non-overlapping domain decomposition methods in structural mechanics, Archives of Computational Methods in Engineering, vol.48, issue.2, pp.515-572, 2006.
DOI : 10.1007/BF02905857

URL : https://hal.archives-ouvertes.fr/hal-01224408

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, 1921.
DOI : 10.1098/rsta.1921.0006

W. Gustafson, P. A. Gustafson, and A. M. Waas, The influence of adhesive constitutive parameters in cohesive zone finite element models of adhesively bonded joints, International Journal of Solids and Structures, vol.46, issue.10, pp.462201-2215, 2009.
DOI : 10.1016/j.ijsolstr.2008.11.016

H. Harper, P. W. Harper, and S. R. Hallett, Cohesive zone length in numerical simulations of composite delamination, Engineering Fracture Mechanics, vol.75, issue.16, pp.754774-4792, 2008.
DOI : 10.1016/j.engfracmech.2008.06.004

Z. Hashin, The Elastic Moduli of Heterogeneous Materials, Journal of Applied Mechanics, vol.29, issue.1, pp.143-150, 1962.
DOI : 10.1115/1.3636446

R. Hill, A self-consistent mechanics of composite materials, Journal of the Mechanics and Physics of Solids, vol.13, issue.4, pp.213-222, 1965.
DOI : 10.1016/0022-5096(65)90010-4

. Hillerborg, Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements, Cement and Concrete Research, vol.6, issue.6, pp.773-781, 1976.
DOI : 10.1016/0008-8846(76)90007-7

H. Huang, X. N. Huang, and D. Hull, Effects of fibre bridging on GIC of a unidirectional glass/epoxy composite, Composites Science and Technology, vol.35, issue.3, pp.283-299, 1989.
DOI : 10.1016/0266-3538(89)90040-7

. Hui, Crack blunting and the strength of soft elastic solids, Proceedings of the Royal Society of London, pp.1489-1516, 2003.
DOI : 10.1098/rspa.2002.1057

G. R. Irwin, Fracture, Elasticity and Plasticity / Elastizität und Plastizität-6 of Handbuch der Physik / Encyclopedia of Physics, pp.551-590, 1958.

G. R. Irwin, Plastic zone near a crack and fracture toughness, The Seventh Sagamore Ordnance Materials Conference, p.42, 1960.

S. Jensen, H. M. Jensen, and I. Sheinman, Straightsided , buckling-driven delamination of thin films at high stress levels, International Journal of Fracture, vol.110, issue.4, pp.371-385, 2001.
DOI : 10.1023/A:1010821918325

P. K. Jimack, Applications of multigrid techniques in cfd, International Journal for Numerical Methods in Fluids, pp.1-12, 2007.

R. Joffe-]-joffe, Damage accumulation and stiffness degradation in composite laminates, p.24, 1999.

. Joshi, . Sun, S. P. Joshi, and C. T. Sun, Impact-induced fracture in a quasi-isotropic laminate, Journal of Composite Technology and Research, vol.9, issue.2, pp.40-46, 1987.

. Joshi, . Sun, S. P. Joshi, and C. T. Sun, Impact-induced fracture initiation and detailed dynamic stress field in the vicinity of impact, American Society of Composites 2nd Tech. Conf, pp.177-185, 1987.

R. Krueger, Virtual crack closure technique: History, approach, and applications, Applied Mechanics Reviews, vol.57, issue.2, pp.109-143, 2004.
DOI : 10.1115/1.1595677

. Kurnatowski, . Matzenmiller, B. Kurnatowski, A. Matzenmiller, P. Ladeveze et al., Coupled twoscale analysis of fiber reinforced composite structures with microscopic damage evolution On a multiscale computational strategy with time and space homogenization for structural mechanics, International Journal of Solids and StructuresLadeveze and Nouy Computer Methods in Applied Mechanics and Engineering, vol.49, issue.10, pp.2404-2417, 2003.

. Ladeveze, The LATIN multiscale computational method and the Proper Generalized Decomposition, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.21-22, pp.199-220, 2010.
DOI : 10.1016/j.cma.2009.06.023

URL : https://hal.archives-ouvertes.fr/hal-00414447

. Lagunegrand, Initiation of free-edge delamination in composite laminates, Composites Science and Technology, vol.66, issue.10, pp.1315-1327, 2006.
DOI : 10.1016/j.compscitech.2005.10.010

J. D. Lee-]-lee, Three dimensional finite element analysis of damage accumulation in composite laminate, Computers & Structures, vol.15, issue.3, pp.335-350, 1982.
DOI : 10.1016/0045-7949(82)90026-8

. Lee, Determination of cohesive parameters for a mixed-mode cohesive zone model, International Journal of Adhesion and Adhesives, vol.30, issue.5, pp.322-328, 2010.

. Li, Low-velocity impact responses of the stiffened composite laminated plates based on the progressive failure model and the layerwise/solid-elements method, Composite Structures, vol.110, pp.249-275, 2014.
DOI : 10.1016/j.compstruct.2013.12.011

L. Lin, H. Lin, and Y. Lee, Impact-Induced Fracture in Laminated Plates and Shells, Journal of Composite Materials, vol.24, issue.11, pp.1179-1199, 1990.
DOI : 10.1177/002199839002401105

P. Lions, On the schwarz alternating method. i, First International Symposium on Domain Decomposition Methods for Partial Differential Equations, pp.1-42, 1988.

P. L. Lions, On the schwarz alternating method. ii, Domain decomposition methods, pp.47-70, 1989.

M. Liu, D. Liu, and L. E. Malvem, Matrix Cracking in Impacted Glass/Epoxy Plates, Journal of Composite Materials, vol.15, issue.7, pp.594-609, 1987.
DOI : 10.1177/002199838702100701

. Lorriot, Onset of free-edge delamination in composite laminates under tensile loading, Composites Part B: Engineering, vol.34, issue.5, pp.459-471, 2003.
DOI : 10.1016/S1359-8368(03)00016-7

J. Lumley, The structure of inhomogeneous turbulence, pp.166-178, 1967.

O. Majeed, Numerical modelling of transverse impact on composite coupons, p.66, 1995.

J. Mandel, Balancing domain decomposition, Communications in Numerical Methods in Engineering, vol.13, issue.3, pp.233-241, 1993.
DOI : 10.1002/cnm.1640090307

L. N. Mccartney, PREDICTING TRANSVERSE CRACK FORMATION IN CROSS-PLY LAMINATES, Composites Science and Technology, vol.58, issue.7, pp.1069-1081, 1998.
DOI : 10.1016/S0266-3538(96)00142-X

B. Moës, N. Moës, and T. Belytschko, Extended finite element method for cohesive crack growth, Engineering Fracture Mechanics, vol.69, issue.7, pp.813-833, 2002.
DOI : 10.1016/S0013-7944(01)00128-X

. Mori, . Tanaka, T. Mori, and K. Tanaka, Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Metallurgica, vol.21, issue.5, pp.571-574, 1973.
DOI : 10.1016/0001-6160(73)90064-3

A. Needleman, A Continuum Model for Void Nucleation by Inclusion Debonding, Journal of Applied Mechanics, vol.54, issue.3, pp.525-531, 1987.
DOI : 10.1115/1.3173064

A. Needleman, Some issues in cohesive surface modelling, 23rd International Congress of Theoretical and Applied Mechanics, 2014.

N. M. Newmark-]-newmark, A method of computation for structural dynamics, Journal of the Engineering Mechanics Division, issue.EM3, pp.85-70, 1959.

A. Nouy, Generalized spectral decomposition method for solving stochastic finite element equations: Invariant subspace problem and dedicated algorithms, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.51-52, pp.51-524718, 2008.
DOI : 10.1016/j.cma.2008.06.012

URL : https://hal.archives-ouvertes.fr/hal-00366613

A. Nouy and O. P. Maitre, Generalized spectral decomposition for stochastic nonlinear problems, Journal of Computational Physics, vol.228, issue.1, pp.202-235, 2009.
DOI : 10.1016/j.jcp.2008.09.010

E. Ochoa, O. O. Ochoa, and J. J. Engblom, Analysis of progressive failure in composites, Composites Science and Technology, vol.28, issue.2, pp.87-102, 1987.
DOI : 10.1016/0266-3538(87)90092-3

R. Olsson, Impact and damage tolerance of composites ? status and future work at ffa. The Aeronautical Research Institute of Sweden, p.68, 1999.

R. Olsson, Analytical prediction of large mass impact damage in composite laminates, Composites Part A: Applied Science and Manufacturing, vol.32, issue.9, pp.1207-1215, 2001.
DOI : 10.1016/S1359-835X(01)00073-2

R. Olsson, Closed form prediction of peak load and delamination onset under small mass impact, Composite Structures, vol.59, issue.3, pp.341-349, 2003.
DOI : 10.1016/S0263-8223(02)00244-1

. Olsson, Delamination threshold load for dynamic impact on plates, International Journal of Solids and Structures, vol.43, issue.10, pp.3124-3141, 2006.
DOI : 10.1016/j.ijsolstr.2005.05.005

W. Harper, . P. Hallet, L. S. Harper, and S. R. Hallet, A study on the influence of cohesive zone interface element strength parameters on mixed mode behaviour, Composites Part A: Applied Science and Manufacturing, vol.43, issue.4, pp.722-734, 2012.
DOI : 10.1016/j.compositesa.2011.12.016

N. J. Pagano and G. A. Schoeppner, Delamination of Polymer Matrix Composites: Problems and Assessment, p.25, 2000.
DOI : 10.1016/B0-08-042993-9/00073-5

D. Pineau, P. Pineau, and F. Dau, Subsampling and homogenization to investigate variability of composite material mechanical properties, Computer Methods in Applied Mechanics and Engineering, vol.241, issue.244, pp.241-244238, 2012.
DOI : 10.1016/j.cma.2012.06.003

URL : https://hal.archives-ouvertes.fr/hal-01006673

N. Poon, . Bellinger, C. Poon, N. Bellinger, Y. Xiong et al., Edge delamination of composite laminates, The 9th International Conference on Composite Materials, pp.12-13, 1993.

E. Pruliere, 3D simulation of laminated shell structures using the Proper Generalized Decomposition, Composite Structures, vol.117, pp.373-381, 2014.
DOI : 10.1016/j.compstruct.2014.06.039

URL : https://hal.archives-ouvertes.fr/hal-01062890

. Pruliere, On the deterministic solution of multidimensional parametric models using the Proper Generalized Decomposition, Mathematics and Computers in Simulation, vol.81, issue.4, pp.791-810, 2010.
DOI : 10.1016/j.matcom.2010.07.015

URL : https://hal.archives-ouvertes.fr/hal-00704427

. Pruliere, An efficient reduced simulation of residual stresses in composite forming processes, International Journal of Material Forming, vol.15, issue.S2, pp.1339-1350, 2010.
DOI : 10.1007/s12289-009-0675-6

. Quarteroni, . Valli, A. Quarteroni, and A. Valli, Domain decomposition methods for partial differential equations, 1999.

J. Rice, The mechanics of earthquake rupture, Physics of the Earth's Interior, volume 3-6 of Proc. International School of Physics " Enrico Fermi, pp.555-649, 1979.

J. R. Rice, A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks, Journal of Applied Mechanics, vol.35, issue.2, pp.379-386, 1968.
DOI : 10.1115/1.3601206

. Richardson, M. W. Wisheart-]-richardson, and M. J. Wisheart, Review of low-velocity impact properties of composite materials, Composites Part A: Applied Science and Manufacturing, vol.27, issue.12, pp.1123-1131, 1996.
DOI : 10.1016/1359-835X(96)00074-7

R. , C. Roy, T. Chakraborty, and D. , Delamination in {FRP} laminates with holes under transverse impact, Materials and Design, vol.29, issue.1, pp.124-132, 2008.

. Rybicki, E. F. Kanninen-]-rybicki, and M. F. Kanninen, A finite element calculation of stress intensity factors by a modified crack closure integral, Engineering Fracture Mechanics, vol.9, issue.4, pp.931-938, 1977.
DOI : 10.1016/0013-7944(77)90013-3

D. Ryckelynck, A priori hyperreduction method: an adaptive approach, Journal of Computational Physics, vol.202, issue.1, pp.346-366, 2005.
DOI : 10.1016/j.jcp.2004.07.015

D. Ryckelynck, Hyper-reduction of mechanical models involving internal variables, International Journal for Numerical Methods in Engineering, vol.1, issue.3, pp.75-89, 2009.
DOI : 10.1002/nme.2406

URL : https://hal.archives-ouvertes.fr/hal-00732247

H. A. Schwarz, Über einen grenzübergang durch alternierendes verfahren, Vierteljahrsschrift der Naturforschenden Gesellschaft in Zürich 15, pp.272-286, 1870.

. Shivakumar, Prediction of low-velocity impact damage in thin circular laminates, AIAA Journal, vol.23, issue.3, pp.442-449, 1985.
DOI : 10.2514/3.8933

. Shivakumar, A virtual crack-closure technique for calculating stress intensity factors for cracked three dimensional bodies, International Journal of Fracture, vol.36, pp.43-50, 1988.

T. Sills, R. B. Sills, and M. D. Thouless, The effect of cohesive-law parameters on mixed-mode fracture, Engineering Fracture Mechanics, vol.109, pp.353-368, 2013.
DOI : 10.1016/j.engfracmech.2012.06.006

. Sjöblom, On Low-Velocity Impact Testing of Composite Materials, Journal of Composite Materials, vol.563, issue.10, pp.30-52, 1988.
DOI : 10.1177/002199838802200103

. Sluis, Effective properties of a viscoplastic constitutive model obtained by homogenisation, Mechanics of Materials, issue.11, pp.31743-759, 1999.

. Smith, Domain Decomposition, p.91, 1996.
DOI : 10.1007/978-3-540-70529-1_411

. Song, Guidelines and parameter selection for the simulation of progressive delamination, ABAQUS User's Conference. 41, p.44, 2008.

C. Stolz, On Micro-Macro Transition in Non-Linear Mechanics, Materials, vol.3, issue.1, pp.296-317, 2010.
DOI : 10.3390/ma3010296

URL : https://hal.archives-ouvertes.fr/hal-00456089

P. L. Tallec, Domain decomposition methods in computational mechanics, Computational Mechanics Advances, p.89, 1994.

. Tamuzs, Progressive delamination and fiber bridging modeling in double cantilever beam composite specimens, Engineering Fracture Mechanics, vol.68, issue.5, pp.513-525, 2001.
DOI : 10.1016/S0013-7944(00)00131-4

. Tan, . Sun, T. M. Tan, and C. T. Sun, Use of Statical Indentation Laws in the Impact Analysis of Laminated Composite Plates, Journal of Applied Mechanics, vol.52, issue.1, pp.6-12, 1985.
DOI : 10.1115/1.3169029

L. Tartar, In The general theory of homogenization: a personalized introduction, of Lecture Notes of the Unione Matematica Italiana, p.84, 2009.
DOI : 10.1007/978-3-642-05195-1

. Tàvara, Cohesive-zone-model formulation and implementation using the symmetric Galerkin boundary element method for homogeneous solids, Computational Mechanics, vol.39, issue.5, pp.535-551, 2013.
DOI : 10.1007/s00466-012-0808-5

S. Tay, T. E. Tay, and F. Shen, Analysis of Delamination Growth in Laminated Composites with Consideration for Residual Thermal Stress Effects, Journal of Composite Materials, vol.26, issue.10, pp.1299-1320, 2002.
DOI : 10.1177/0021998302036011592

F. Tenchev, R. T. Tenchev, and B. G. Falzon, A pseudotransient solution strategy for the analysis of delamination by means of interface elements, Finite Elements in Analysis and Design, vol.42, pp.8-9698, 2006.

E. Trousset, Prévision des dommages d'impact basse vitesse et basse énergie dans les composites à matrice organique stratifiés, École Nationale Supérieure d'Arts et Métiers -Centre d'Angers, p.68, 2013.

A. Turon, Simulation of delamination in composites under quasi-static and fatigue loading using cohesive zone models, p.43, 2007.

. Turon, Accurate simulation of delamination growth under mixed-mode loading using cohesive elements: Definition of interlaminar strengths and elastic stiffness, Composite Structures, vol.92, issue.8, pp.921857-1864, 2010.
DOI : 10.1016/j.compstruct.2010.01.012

. Turon, An engineering solution for using coarse meshes in the simulation of delamination with cohesive zone models. NASA Technical Memorandum, pp.42-43, 2005.

V. Tvergaard, Analysis of tensile properties for a whisker-reinforced metal-matrix composite, Acta Metallurgica et Materialia, vol.38, issue.2, pp.185-194, 1990.
DOI : 10.1016/0956-7151(90)90048-L

H. Tvergaard, V. Tvergaard, and J. W. Hutchinson, The relation between crack growth resistance and fracture process parameters in elastic-plastic solids, Journal of the Mechanics and Physics of Solids, vol.40, issue.6, pp.1377-1397, 1992.
DOI : 10.1016/0022-5096(92)90020-3

. Valoroso, Identification of mode-I cohesive parameters for bonded interfaces based on DCB test, Engineering Fracture Mechanics, vol.104, pp.56-79, 2013.
DOI : 10.1016/j.engfracmech.2013.02.008

. Vandellos, Development of computational strategy to model delamination in composite structures, p.51, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00387376

. Vidal, Composite beam finite element based on the proper generalized decomposition, Computers and Structures, issue.10, pp.102-10376, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01366924

. Vidal, Proper Generalized Decomposition and layer-wise approach for the modeling of composite plate structures, International Journal of Solids and Structures, vol.50, issue.14-15, pp.14-152239, 2013.
DOI : 10.1016/j.ijsolstr.2013.03.034

URL : https://hal.archives-ouvertes.fr/hal-01366917

K. Y. Volokh, Comparison between cohesive zone models, Communications in Numerical Methods in Engineering, vol.54, issue.11, pp.845-856, 2004.
DOI : 10.1002/cnm.717

. Weinan and E. Weinan, Principles of Multiscale Modeling, p.81, 2011.

. Whitney, A Double Cantilever Beam Test for Characterizing Mode I Delamination of Composite Materials, Journal of Reinforced Plastics and Composites, vol.1, issue.4, pp.297-330, 1982.
DOI : 10.1177/073168448200100402

M. R. Wisnom-]-wisnom, Modelling discrete failures in composites with interface elements, Composites Part A: Applied Science and Manufacturing, vol.41, issue.7, pp.795-805, 2010.
DOI : 10.1016/j.compositesa.2010.02.011

N. Xu, X. P. Xu, and A. Needleman, Numerical simulations of fast crack growth in brittle solids, Journal of the Mechanics and Physics of Solids, vol.42, issue.9, pp.1397-1434, 1994.
DOI : 10.1016/0022-5096(94)90003-5

J. Yang, Development about composite homogenization in static and in dynamic -application to UD composite materials, p.84, 1999.

A. S. Yigit and A. P. Christoforou, Impact dynamics of composite beams, Composite Structures, vol.32, issue.1-4, pp.187-195, 1995.
DOI : 10.1016/0263-8223(95)00072-0

A. S. Yigit and A. P. Christoforou, Characterization of impact in composite plates, Composite Structures, vol.43, pp.15-24, 1998.

. Zou, Mode separation of energy release rate for delamination in composite laminates using sublaminates, International Journal of Solids and Structures, vol.38, issue.15, pp.2597-2613, 2001.
DOI : 10.1016/S0020-7683(00)00172-4

. Zubillaga, An experimental study on matrix crack induced delamination in composite laminates, Composite Structures, vol.127, pp.10-17, 2015.
DOI : 10.1016/j.compstruct.2015.02.077

P. Geometry and B. , 18 2.5 PGD parametric solution for E m = 3.8, E f 1 = 228, p.20

F. Functions and G. , in the separated representation of the displacement field, p.53

3. Dcb-specimen...., The ? xx stress distribution for the, p.60

.. Profils-des-contraintes-dans-l-'épaisseur-au-centre-de-la-plaques, 136 12 Contraintes ? xx dans une plaque composite en flexion (vue de dessus et de dessous), p.137