E. Abisset-;-abisset, A. Aksoy, and L. Carlsson, Un mésomodèle d'endommagement des composites stratifiés pour le virtual testing : identification et validation, Composites Science and Technology, vol.43, issue.1, pp.55-69, 1992.

G. Alfano-;-alfano, G. Alfano, and M. Crisfield, Finite element interface models for the delamination analysis of laminated composites : mechanical and computational issues, Advances in statics and dynamics of delaminationWorkshop on Advances in Modeling Delamination in Composite Materials and Structures, vol.66, pp.1701-1736, 2001.

A. , A delay damage mesomodel of laminates under dynamic loading : basic aspects and identification issues, Computers & structures, vol.81, issue.12, pp.1177-1191, 2003.

O. Et-ladevèze-;-allix, P. Ladevèze, and . Allix, Modelling and identification of the mechanical behaviour of composite laminates in compression. Composites science and technology, Composite structures, vol.22, pp.827-840, 1992.

D. Astm, 5766/d 5766m-07. standard test method for open hole tensile strength of polymer matrix composite laminates. Annual book of ASTM standards, ASTM, pp.1-6, 2007.

. Astm-d5528, 5528-94a, standard test method for mode i interlaminar fracture toughness of unidirectional fiber-reinforced polymer matrix composites. Annual book of ASTM standards, 15, pp.6671-6671, 1994.

H. Bainier, Splits modelling and computation in laminated composite structures, 2018.
URL : https://hal.archives-ouvertes.fr/tel-02092438

[. Bibliographie and . Bak, Analysis of the integration of cohesive elements in regard to utilization of coarse mesh in laminated composite materials, International Journal for Numerical Methods in Engineering, vol.99, issue.8, pp.566-586, 2014.

Z. Ba?ant-;-ba?ant, Scaling of quasibrittle fracture : asymptotic analysis, International Journal of Fracture, vol.83, issue.1, pp.19-40, 1997.

Z. P. Ba?ant and B. H. Oh, Crack band theory for fracture of concrete, Matériaux et construction, vol.16, issue.3, pp.155-177, 1983.

T. Belytschko and T. Black, Elastic crack growth in finite elements with minimal remeshing, International journal for numerical methods in engineering, vol.45, issue.5, pp.601-620, 1999.

M. L. Benzeggagh and M. Et-kenane, Measurement of mixed-mode delamination fracture toughness of unidirectional glass/epoxy composites with mixed-mode bending apparatus, Composites science and technology, vol.56, issue.4, pp.439-449, 1996.

J. Berthelot-;-berthelot, Mécanique des matériaux et structures composites, 2012.

, Intralaminar fracture toughness characterisation of woven composite laminates. part i : Design and analysis of a compact tension (ct) specimen, Engineering Fracture Mechanics, vol.131, pp.349-360, 2001.

J. Bleyer and R. Et-alessi, Phase-field modeling of anisotropic brittle fracture including several damage mechanisms, Computer Methods in Applied Mechanics and Engineering, vol.336, pp.213-236, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01736465

[. Bourdin, Numerical experiments in revisited brittle fracture, Journal of the Mechanics and Physics of Solids, vol.48, issue.4, pp.797-826, 2000.

[. Bourdin, Low velocity impact modelling in laminate composite panels with discrete interface elements, International Journal of Solids and Structures, vol.91, issue.1-3, pp.2809-2821, 2008.

P. Camanho and G. Catalanotti, On the relation between the mode i fracture toughness of a composite laminate and that of a 0 ply : Analytical model and experimental validation, Engineering Fracture Mechanics, vol.78, issue.13, pp.2535-2546, 2011.

[. Camanho, A finite fracture mechanics model for the prediction of the open-hole strength of composite laminates, Composites Part A : Applied Science and Manufacturing, vol.43, issue.8, pp.1219-1225, 2012.

P. P. Camanho and C. G. Et-dávila, Mixed-mode decohesion finite elements for the simulation of delamination in composite materials, 2002.

[. Bibliographie and . Camanho, Prediction of in situ strengths and matrix cracking in composites under transverse tension and in-plane shear, Composites Part A : Applied Science and Manufacturing, vol.37, issue.2, pp.165-176, 2006.

[. Camanho, Prediction of size effects in notched laminates using continuum damage mechanics, Composites Science and Technology, vol.67, issue.13, pp.2715-2727, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00498983

[. Carrere, , 2012.

, Micromechanical-based hybrid mesoscopic 3d approach for non-linear progressive failure analysis of composite structures, Journal of Composite Materials, vol.46, pp.2389-2415

[. Carrere, , 2013.

, Micromechanical-based hybrid mesoscopic three-dimensional approach for non-linear progressive failure analysis of composite structures-part b : Comparison with experimental data, Journal of Composite Materials, vol.47, issue.6-7, pp.743-762

[. Chaboche, Interface debonding models : a viscous regularization wih a limited rate dependency, International journal of solids and structures, vol.38, issue.18, pp.3127-3160, 2001.

F. Chang and M. Chen, The in situ ply shear strength distributions in graphite/epoxy laminated composites, Journal of Composite Materials, vol.21, issue.8, pp.708-733, 1987.

[. Chantrait, Low intrusive coupling of implicit and explicit time integration schemes for structural dynamics : Application to low energy impacts on composite structures, Finite Elements in Analysis and Design, vol.86, pp.23-33, 2014.

J. Charrier, Développement de méthodologies dédiées à l'analyse robuste de la tenue de structures composites sous chargements complexes tridimensionnels, 2013.

[. Chen, A floating node method for the modelling of discontinuities in composites, Engineering Fracture Mechanics, vol.127, pp.104-134, 2014.

[. Chen, Modelling the tensile failure of composites with the floating node method, Computer Methods in Applied Mechanics and Engineering, vol.308, pp.414-442, 2016.

. [de-borst, Nonlinear finite element analysis of solids and structures, 2012.

. [de-borst, Fundamental issues in finite element analyses of localization of deformation, vol.10, pp.99-121, 1993.

J. Deü, Rupture des composites stratifiés sous chargement dynamique : apport des méso-modèles avec endommagement retardé, 1997.

G. J. Bibliographie-;-dvorak and N. Laws, Analysis of progressive matrix cracking in composite laminates ii. first ply failure, Journal of Composite Materials, vol.21, issue.4, pp.309-329, 1987.

S. Forest and E. Lorentz, Localization phenomena and regularization methods, Local approach to fracture, vol.1, pp.311-371, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00164479

G. A. Francfort and J. Marigo, Revisiting brittle fracture as an energy minimization problem, Journal of the Mechanics and Physics of Solids, vol.46, issue.8, pp.1319-1342, 1998.

N. Germain-;-germain, Modélisation non locale de l'endommagement dans les structures composites, 2006.

[. Germain, Composite layered materials : Anisotropic nonlocal damage models, Computer Methods in Applied Mechanics and Engineering, vol.196, pp.4272-4282, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00170638

[. Godin, Clustering of acoustic emission signals collected during tensile tests on unidirectional glass/polyester composite using supervised and unsupervised classifiers, Ndt & E International, vol.37, issue.4, pp.253-264, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00474933

, An experimental and numerical investigation into the damage mechanisms in notched composites, Composites Part A : Applied Science and Manufacturing, vol.38, issue.3, pp.613-624, 2007.

[. Hallett, The open hole tensile test : a challenge for virtual testing of composites, International Journal of Fracture, vol.158, issue.2, pp.169-181, 2009.

F. Hild and S. Roux, Comparison of local and global approaches to digital image correlation, Experimental Mechanics, vol.52, issue.9, pp.1503-1519, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00750756

R. Hill, A general theory of uniqueness and stability in elasticplastic solids, Journal of the Mechanics and Physics of Solids, vol.6, issue.3, pp.236-249, 1958.

[. Hochard, Behaviour up to rupture of woven ply laminate structures under static loading conditions, Special Issue : 15th French National Conference on Composites -JNC15, vol.40, pp.1017-1023, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00476709

C. Huchette-;-huchette and . Hurmane, Sur la complémentarité des approches expérimentales et numériques pour la modélisation des mécanismes d'endommagement des composites stratifiés, JNC21 : Journées Nationales sur les Composites, vol.6, 2005.

[. Bibliographie and . Kobayashi, Effects of stacking sequence on the transverse cracking in quasiisotropic interleaved cfrp laminates, Proc of 12 thInternational Conference on Composite Material, p.1111, 1999.

S. ;. Kohler-;-kohler, . Epfl, and . Krasnobrizha, Modélisation des mécanismes d'hystérésis des composites tissés à l'aide d'un modèle collaboratif élasto-plastique endommageable à dérivées fractionnaires, Matériaux & Techniques, vol.104, issue.4, pp.407-420, 2016.

[. Krueger, A method for calculating strain energy release rates in preliminary design of composite skin/stringer debonding under multiaxial loading, Composite Structures : Theory and Practice, 2001.

[. Ladevèze, A mesomodel for localisation and damage computation in laminates, Computer methods in applied mechanics and engineering, vol.183, issue.1, pp.105-122, 2000.

P. Ladeveze and E. Ledantec, Damage modelling of the elementary ply for laminated composites, Composites science and technology, vol.43, issue.3, pp.257-267, 1992.

P. Ladeveze and G. Lubineau, An enhanced mesomodel for laminates based on micromechanics, Composites Science and Technology, vol.62, issue.4, pp.533-541, 2002.

[. Ladevèze, Towards a bridge between the micro-and mesomechanics of delamination for laminated composites, Composites Science and Technology, vol.66, issue.6, pp.698-712, 2006.

H. Laeuffer, Caractérisation et modélisation des réseaux de fissures pour la prédiction de la perméabilité des réservoirs composites stratifiés sans liner, 2017.

. Lafarie-frenot, M. Hénaff-gardin-;-lafarie-frenot, and C. Hénaff-gardin, Formation and growth of 90 ply fatigue cracks in carbon/epoxy laminates, Composites Science and Technology, vol.40, issue.3, pp.307-324, 1991.

[. Laffan, Measurement of the in situ ply fracture toughness associated with mode i fibre tensile failure in frp. part i : Data reduction, Composites science and technology, vol.70, issue.4, pp.606-613, 2010.

[. Laffan, Measurement of the in situ ply fracture toughness associated with mode i fibre tensile failure in frp. part ii : Size and lay-up effects, Composites Science and Technology, vol.70, issue.4, pp.614-621, 2010.

[. Lagunegrand, Initiation of free-edge delamination in composite laminates, Composites Science and Technology, vol.66, issue.10, pp.1315-1327, 2006.

[. Bibliographie and . Laurin, A multiscale hybrid approach for damage and final failure predictions of composite structures, Journal of Composite Materials, vol.47, pp.2713-2747, 2013.

[. Laurin, A multiscale progressive failure approach for composite laminates based on thermodynamical viscoelastic and damage models, Composites Part A : Applied science and manufacturing, vol.38, issue.1, pp.198-209, 2007.

[. Laurin, Enhanced strength analysis method for composite open-hole plates ensuring design office requirements, Composites Part B : Engineering, vol.62, pp.5-11, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00978733

D. Leguillon, Strength or toughness ? a criterion for crack onset at a notch, European Journal of Mechanics-A/Solids, vol.21, issue.1, pp.61-72, 2002.

E. Lorentz, A mixed interface finite element for cohesive zone models, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.2, pp.302-317, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00359363

[. Maimí, A continuum damage model for composite laminates : Part i-constitutive model, Mechanics of Materials, vol.39, issue.10, pp.897-908, 2007.

[. Maimí, A continuum damage model for composite laminates : Part iicomputational implementation and validation, Mechanics of Materials, vol.39, issue.10, pp.909-919, 2007.

[. Maimi, A threedimensional damage model for transversely isotropic composite laminates, Journal of Composite Materials, vol.42, issue.25, pp.2717-2745, 2008.

[. Marigo, An overview of the modelling of fracture by gradient damage models, Meccanica, vol.51, issue.12, pp.3107-3128, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01374814

D. Marsal-;-marsal, Modélisation multi-échelle de l'endommagement des sratifiés sous sollicitations hors-plan, 2005.

V. Médeau-;-médeau, Rupture des composites tissés 3D : de la caractérisation expérimentale à la simulation robuste des effets d'échelle, 2019.

[. Miehe, Thermodynamically consistent phase-field models of fracture : Variational principles and multi-field fe implementations, International Journal for Numerical Methods in Engineering, vol.83, issue.10, pp.1273-1311, 2010.

[. Miot, A non-local criterion for modelling unbalanced woven ply laminates with stress concentrations, Composite Structures, vol.92, issue.7, pp.1574-1580, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00476699

[. Mollenhauer, Examination of ply cracking in composite laminates with open holes : A moiré interferometric and numerical study, Composites Part A : Applied Science and Manufacturing, vol.37, issue.2, pp.282-294, 2006.

G. Bibliographie-;-molnár and A. Gravouil, 2d and 3d abaqus implementation of a robust staggered phase-field solution for modeling brittle fracture, Finite Elements in Analysis and Design, vol.130, pp.27-38, 2017.

. Mortell, Insitu sem study of transverse cracking and delamination in laminated composite materials, Composites Science and Technology, vol.105, pp.118-126, 2014.

[. Ogihara, Experimental characterization of microscopic failure process under quasi-static tension in interleaved and toughness-improved cfrp cross-ply laminates, Composites science and technology, vol.57, issue.3, pp.267-275, 1997.

[. Parvizi, Constrained cracking in glass fibre-reinforced epoxy cross-ply laminates, Journal of Materials Science, vol.13, issue.1, pp.195-201, 1978.

. Peerlings, Measurement of the in-plane shear strengths of unidirectional composites with the iosipescu test, International Journal for numerical methods in engineering, vol.39, issue.19, pp.1653-1660, 1996.

. Pijaudier-cabot, ;. Bazant, G. Pijaudier-cabot, and Z. P. Bazant, Nonlocal damage theory, Journal of engineering mechanics, vol.113, issue.10, pp.1512-1533, 1987.

[. Pinho, Failure models and criteria for frp under in-plane or three-dimensional stress states including shear non-linearity, 2005.

, Fracture toughness of the tensile and compressive fibre failure modes in laminated composites, Composites science and technology, vol.66, issue.13, pp.2069-2079, 2006.

V. Priasso, Multiscale modeling of the damage of interleaved laminates, 2017.
URL : https://hal.archives-ouvertes.fr/tel-01578426

. Quintanas-corominas, A phase field approach to simulate intralaminar and translaminar fracture in long fiber composite materials, Composite Structures, vol.220, pp.899-911, 2019.

J. Rannou-;-rannou, Mise en oeuvre d'un élément non-local avec loi d'endommagement adoucissante dans le code abaqus, 2016.

;. Crews, J. R. Reeder, and J. H. Crews, Mixed-mode bending method for delamination testing, AIAA Journal, vol.28, issue.7, pp.1270-1276, 1990.

[. Roche, A tsrbased quantitative processing procedure to synthesize thermal d-scans of real-life damage in composite structures, Journal of Nondestructive Evaluation, vol.34, issue.4, pp.34-41, 2015.

[. Sarrado, Assessment of energy dissipation during mixed-mode delamination growth using Bibliographie cohesive zone models, Composites Part A : Applied Science and Manufacturing, vol.43, issue.11, pp.2128-2136, 2012.

R. Schapery, Stress analysis of viscoelastic composite materials, Journal of Composite Materials, vol.1, issue.3, pp.228-267, 1967.

J. Schellekens, . Et-de, and R. Borst, On the numeriacl integration of interface elements, International Journal for Numerical Methods in Engineering, vol.36, issue.1, pp.43-66, 1993.

A. Schieffer, Modélisation multiéchelle du comportement mécanique des composites à matrice organique et effets du vieillissement thermique, 2003.

[. Sebaey, Measurement of the in situ transverse tensile strength of composite plies by means of the real time monitoring of microcracking, Composites Part B : Engineering, vol.65, pp.40-46, 2014.

[. Sket, Automatic quantification of matrix cracking and fiber rotation by x-ray computed tomography in shear-deformed carbon fiber-reinforced laminates, Composites Science and Technology, vol.90, pp.129-138, 2014.

E. Svenning, A weak penalty formulation remedying traction oscillations in interface elements, Computer Methods in Applied Mechanics and Engineering, vol.310, pp.460-474, 2016.

[. Takeda, Experimental characterization of microscopic damage progress in quasiisotropic cfrp laminates : effect of interlaminar-toughened layers, Advanced Composite Materials, vol.7, pp.183-199, 1998.

[. 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.1857-1864, 2010.

[. Turon, A damage model for the simulation of delamination in advanced composites under variable-mode loading, Mechanics of Materials, vol.38, issue.11, pp.1072-1089, 2006.

[. Turon, An engineering solution for mesh size effects in the simulation of delamination using cohesive zone models, Engineering fracture mechanics, vol.74, issue.10, pp.1665-1682, 2007.

. Van-der-meer, Computational analysis of progressive failure in a notched laminate including shear nonlinearity and fiber failure, Composites Science and Technology, vol.70, issue.4, pp.692-700, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01516556

. Van-der-meer, F. Sluys-;-van-der-meer, and L. Sluys, A phantom node formulation with mixed mode cohesive law for splitting in laminates, International Journal of Fracture, vol.158, issue.2, p.107, 2009.

. Bibliographie-[van-paepegem, Modelling the nonlinear shear stress-strain response of glass fibrereinforced composites, Composites science and technology, vol.66, issue.10, pp.1455-1464, 2006.

T. Vandellos-;-vandellos, Développement d'une stratégie de modélisation du délaminage pour les structures composites stratifiés, 2011.

[. Varna, Damage in composite laminates with off-axis plies, Composites Science and Technology, vol.59, issue.14, pp.2139-2147, 1999.

. Vaughan, T. Vaughan, and C. Mccarthy, Micromechanical modelling of the transverse damage behaviour in fibre reinforced composites, Composites Science and Technology, vol.71, issue.3, pp.388-396, 2011.

. Whitney, J. Whitney, and R. Nuismer, Stress fracture criteria for laminated composites containing stress concentrations, Journal of Composite Materials, vol.8, issue.3, pp.253-265, 1974.

M. Wisnom, The role of delamination in failure of fibrereinforced composites, Phil. Trans. R. Soc. A, vol.370, pp.1850-1870, 1965.

[. Wisnom, Scaling effects in notched composites, Journal of Composite Materials, vol.44, issue.2, pp.195-210, 2010.

M. R. Wisnom and S. R. Hallett, The role of delamination in strength, failure mechanism and hole size effect in open hole tensile tests on quasi-isotropic laminates, Composites Part A : Applied Science and Manufacturing, vol.40, issue.4, pp.335-342, 2009.

, Phase field modeling of fracture, Advances in Applied Mechancis : Multi-scale Theory and Computation, p.52, 2018.

Z. Fish-;-yuan and J. Fish, Are the cohesive zone models necessary for delamination analysis ?, Computer Methods in Applied Mechanics and Engineering, vol.310, pp.567-604, 2016.