T. T. Chi, S. V. Lomov, and I. Verpoest, The mechanical properties of multi-axial multi-ply carbon fabric reinforced epoxy composites, Proc. ECCM-10, 10th European Conference on Composite Materials, pp.1-7, 2002.

Y. Miyano, M. Nakada, and K. Nishigaki, Prediction of long-term fatigue life of quasi-isotropic CFRP laminates for aircraft use, International journal of fatigue, vol.28, issue.10, pp.1217-1225, 2006.

D. Mattsson, R. Joffe, and J. Varna, Methodology for characterization of internal structure parameters governing performance in NCF composites, Composites Part B: Engineering, vol.38, issue.1, pp.44-57, 2007.

S. V. Lomov, Non-crimp fabric composites: manufacturing, properties and applications, 2011.

B. N. Cox and G. Flanagan, Handbook of analytical methods for textile composites, 1997.

Y. Wang, J. Li, and P. B. Do, Properties of composite laminates reinforced with Eglass multiaxial non-crimp fabrics, Journal of composite materials, vol.29, issue.17, pp.2317-2333, 1995.

G. A. Bibo, P. J. Hogg, and M. Kemp, Mechanical characterisation of glass-and carbon-fibre-reinforced composites made with non-crimp fabrics, Composites science and technology, vol.57, issue.9, pp.1221-1241, 1997.

A. P. Mouritz, K. H. Leong, and I. Herszberg, A review of the effect of stitching on the in-plane mechanical properties of fibre-reinforced polymer composites, Composites Part A: applied science and manufacturing, vol.28, issue.12, pp.979-991, 1997.

A. P. Mouritz and B. N. Cox, A mechanistic approach to the properties of stitched laminates. Composites part A: applied science and manufacturing, vol.31, pp.1-27, 2000.

A. P. Godbehere, A. R. Mills, and P. Irving, Non crimped fabrics versus prepreg CFRP composites-A comparison of mechanical performance, FRC'94-International Conference on Fibre Reinforced Composites, 6 th, p.6, 1994.

L. E. Asp, F. Edgren, and A. Sjögren, Effects of stitch pattern on the mechanical properties of non-crimp fabric composites, Proceeding of the 11 ECCM, pp.31-36, 2004.

H. Heß and N. Himmel, Structurally stitched NCF CFRP laminates. Part 1: Experimental characterization of in-plane and out-of-plane properties, Composites Science and Technology, vol.71, issue.5, pp.549-568, 2011.

H. B. Dexter and G. H. Hasko, Mechanical properties and damage tolerance of multiaxial warp-knit composites, Composites science and technology, vol.56, issue.3, pp.367-380, 1996.

J. A. Nairn, Matrix microcracking in composites, Polymer matrix composites, vol.2, pp.403-432, 2000.

D. S. Mikhaluk, T. C. Truong, A. I. Borovkov, S. V. Lomov, and I. Verpoest, , 2008.

, Experimental observations and finite element modelling of damage initiation and evolution in carbon/epoxy non-crimp fabric composites, Engineering Fracture Mechanics, vol.75, issue.9, pp.2751-2766

E. Marklund, L. E. Asp, and R. Olsson, Transverse strength of unidirectional noncrimp fabric composites: Multiscale modelling, Composites Part B: Engineering, vol.65, pp.47-56, 2014.

T. C. Truong, M. Vettori, S. Lomov, and I. Verpoest, Carbon composites based on multi-axial multi-ply stitched preforms. Part 4. Mechanical properties of composites and damage observation, Composites Part A: applied science and manufacturing, vol.36, issue.9, pp.1207-1221, 2005.

R. B. Pipes and N. J. Pagano, Interlaminar Stresses in Composite Laminates Under Uniform Axial Extension, Journal of Composite Materials, vol.4, issue.4, pp.538-548, 1970.

A. L. Highsmith and K. L. Reifsnider, Stiffness-Reduction Mechanisms in Composite Laminates, Damage in Composite Materials, vol.775, pp.103-117, 1982.

R. Talreja, Transverse cracking and stiffness reduction in composite laminates, Journal of composite materials, vol.19, issue.4, pp.355-375, 1985.

K. W. Garrett and J. E. Bailey, Multiple transverse fracture in 90 cross-ply laminates of a glass fibre-reinforced polyester, Journal of materials science, vol.12, issue.1, pp.157-168, 1977.

R. J. Nuismer and S. C. Tan, Constitutive relations of a cracked composite lamina, Journal of Composite Materials, vol.22, issue.4, pp.306-321, 1988.

S. C. Tan and R. J. Nuismer, A theory for progressive matrix cracking in composite laminates, Journal of Composite Materials, vol.23, issue.10, pp.1029-1047, 1989.

D. L. Flaggs, Prediction of tensile matrix failure in composite laminates, Journal of Composite Materials, vol.19, issue.1, pp.29-50, 1985.

J. A. Nairn and S. Hu, Micromechanics of damage: A case study of matrix cracking, Damage Mechanics of Composite Materials, pp.187-243, 1994.

K. L. Reifsnider and . Jamison, Fracture of fatigue-loaded composite laminates, Int J of Fatigue, pp.187-197, 1982.

S. Sisodia, F. Gamstedt, J. Edgren, and . Varna, Effects of voids on quasi-static and tension fatigue behaviour of carbon-fibre composite laminates, J of Composite Materials, vol.49, issue.17, pp.2137-2148, 2015.

A. Parvizi and J. Bailey, On multiple transverse cracking in glass fibre epoxy cross-ply laminates, J of Materials Science, vol.13, issue.10, pp.2131-2136, 1978.

M. Quaresimin, P. A. Carraro, . Lp-mikkelsen, . Lucato, . Vivian et al., Damage evolution under cyclic multiaxial stress state: A comparative analysis between glass/epoxy laminates and tubes, Composites Part B: Engineering, vol.61, pp.282-290, 2014.

J. Varna, Modeling Mechanical Performance of Damaged Laminates, J of Composite Materials, vol.47, pp.2443-2474, 2013.

C. V. Singh and . Talreja, A Synergistic Damage Mechanics Approach to Mechanical Response of Composite Laminates with Ply Cracks, J of Composite Materials, pp.2475-2501, 2013.

M. Kashtalyan and . Soutis, Stiffness and fracture analysis of laminated composites with offaxis ply matrix cracking, Composites: Part A, vol.38, pp.1262-1269, 2007.

M. Kashtalyan and C. Soutis, Analysis of composite laminates with intra-and interlaminar damage, Progress in Aerospace Sciences, vol.41, pp.152-173, 2005.

F. París, J. Cano, and J. Varna, The fiber-matrix interface crack-a numerical analysis using boundary elements, Int. J. Fract, vol.82, issue.1, pp.11-29, 1990.

L. Zhuang, R. Talreja, and J. Varna, Transverse crack formation in unidirectional composites by linking of fibre/matrix debond cracks, Composites Part A, vol.107, pp.294-303, 2018.

C. Sandino, E. Correa, and F. París, Numerical analysis of the influence of a nearby fibre on the interface crack growth in composites under transverse tensile load, Engineering Fracture Mechanics, vol.168, pp.58-75, 2016.

L. Zhuang, A. Pupurs, J. Varna, R. Talreja, and Z. Ayadi, Effects of inter-Fiber spacing on fibermatrix debond crack growth in unidirectional composites under transverse loading, Composites Part A, vol.109, pp.463-471, 2018.

J. Varna, L. Zhuang, A. Pupurs, and Z. Ayadi, Growth and interaction of debonds in local clusters of fibers in unidirectional composites during transverse loading, Key Engineering Materials, v, vol.754, pp.63-66, 2017.

M. Herráez, . Mora, . Naya, C. Lopes, . González et al., Transverse cracking of cross-ply laminates: A computational micromechanics perspective, Composites Science and Technology, vol.110, pp.196-204, 2015.

F. Paris, . Blazquez, V. Mccartney, and . Mantic, Characterization and evolution of matrix and interface related damage in [0/90]S laminates under tension. Part I: Numerical predictions, Composites Science and Technology, vol.70, pp.1168-1175, 2010.

G. J. Dvorak and . Laws, Analysis of progressive matrix cracking in composite laminates II. First ply failure, J. of Composite Materials, vol.21, pp.309-329, 1987.

J. Nairn, The strain energy release rate of composite microcracking: a variational approach, J of Composite Materials, vol.23, issue.11, pp.1106-1129, 1989.

J. A. Nairn, S. Hu, and J. S. Bark, A critical evaluation of theories for predicting microcracking in composite laminates, J Mat. Sci, vol.28, pp.50-99, 1993.

P. Johnson and F. Chang, Characterization of matrix crack-induced laminate failure -Part II: Analysis and verification, J of Compos. Materials, vol.35, issue.22, pp.2037-2074, 2001.

J. Varna, Crack separation based models for microcracking, Comprehensive Composite Materials II, issue.2, pp.192-220, 2018.

S. Liu and J. A. Nairn, A Fracture Mechanics Analysis of Composite Microcracking: Fatigue Experiments, Proc. of the 5th Meeting of the American Society of Composites, pp.287-295, 1990.

J. A. Nairn and . Microcracking, Microcrack-Induced Delamination, and Longitudinal Splitting of Advanced Composite Structures, 1992.

Z. Hashin, Analysis of cracked laminates: a variational approach, Mech of Mater, vol.4, pp.121-136, 1985.

B. Mohammadi and H. Pakdel, Fatigue driven matrix crack propagation in laminated composites, Materials and Design, vol.146, pp.108-115, 2018.

M. Hajikazemi, M. H. Sadr, and H. Hosseini-toudeshky, Thermo-elastic constants of cracked symmetric laminates: A refined variational approach, Int J Mech Sci, vol.89, pp.47-57, 2014.

L. N. Mccartney, G. A. Schoeppner, W. Becker, R. Joffe, and J. Varna, Methodology for characterization of internal structure parameters governing performance in NCF composites, References: 1. Mattsson, vol.60, pp.44-57, 2000.

D. Mattsson, R. Joffe, and J. Varna, Damage in NCF composites under tension: effect of layer stacking sequence, Engineering Fracture Mechanics, vol.75, issue.9, pp.2666-2682, 2008.

K. Vallons, S. V. Lomov, and I. &verpoest, Fatigue and post-fatigue behaviour of carbon/epoxy non-crimp fabric composites, Composites Part A: Applied Science and Manufacturing, vol.40, issue.3, pp.251-259, 2009.

F. Edgren, D. Mattsson, L. E. Asp, and J. Varna, Formation of damage and its effects on non-crimp fabric reinforced composites loaded in tension, Composites Science and Technology, vol.64, issue.5, pp.675-692, 2004.

D. S. Mikhaluk, T. C. Truong, A. I. Borovkov, S. V. Lomov, and I. Verpoest, Experimental observations and finite element modelling of damage initiation and evolution in carbon/epoxy non-crimp fabric composites, Engineering Fracture Mechanics, vol.75, issue.9, pp.2751-2766, 2008.

S. V. Lomov, E. B. Belov, T. Bischoff, S. B. Ghosh, T. T. Chi et al., Carbon composites based on multiaxial multiply stitched preforms. Part 1. Geometry of the preform, Composites Part A:Applied science and manufacturing, vol.33, issue.9, pp.1171-1183, 2002.

S. V. Lomov, I. Verpoest, M. Barburski, and J. Laperre, Carbon composites based on multiaxial multiply stitched preforms. Part 2. KES-F characterisation of the deformability of the preforms at low loads, Composites Part A:Applied Science and Manufacturing, vol.34, issue.4, pp.359-370, 2003.

S. V. Lomov, M. Barburski, T. Stoilova, I. Verpoest, R. Akkerman et al., Carbon composites based on multiaxial multiply stitched preforms. Part 3: Biaxial tension, picture frame and compression tests of the preforms, Composites Part A: Applied Science and Manufacturing, vol.36, issue.9, pp.1188-1206, 2005.

N. J. Pagano and G. A. Schoeppner, Delamination of Polymer Matrix Composites: Problems and Assessment, Comprehensive Composite Materials, pp.433-528, 2000.

J. Varna and H. &zrida, Analysis of Microdamage in Thermally Aged CF/Polyimide Laminates. Mechanics of composite materials, vol.53, pp.45-58, 2017.

K. Vallons, M. Zong, S. V. Lomov, and I. &verpoest, Carbon composites based on multi-axial multi-ply stitched preforms-Part 6. Fatigue behaviour at low loads: Stiffness degradation and damage development, Composites Part A:Applied Science and Manufacturing, vol.38, issue.7, pp.1633-1645, 2007.

M. Hojo, S. Matsuda, B. Fiedler, T. Kawada, K. Moriya et al., Mode I and II delamination fatigue crack growth behavior of alumina fiber/epoxy laminates in liquid nitrogen, International Journal of Fatigue, vol.24, issue.2-4, pp.109-118, 2002.

A. J. Brunner, S. Stelzer, G. Pinter, and G. P. &terrasi, Cyclic fatigue delamination of carbonfiber-reinforcedpolymer-matrix composites: Data analysis and design considerations, International Journal of Fatigue, vol.83, pp.293-299, 2016.

A. J. Brunner, Fracture mechanics characterization of polymer composites for aerospace applications, Polymer composites in the aerospace industry, pp.191-230, 2015.

A. J. Brunner, B. R. Blackman, and P. Davies, A status report on delamination resistance testing of polymer-matrix composites, Engineering Fracture Mechanics, vol.75, issue.9, pp.2779-2794, 2008.

, ASTM D 6671-13. Standard Test Method for Mixed Mode I-Mode II Interlaminar Fracture Toughness of Unidirectional Fiber Reinforced Polymer Matrix Composites, American Society for Testing and Materials, 2015.

M. Kashtalyan and C. &soutis, The effect of delaminations induced by transverse cracks and splits on stiffness properties of composite laminates, Composites Part A:Applied Science and Manufacturing, vol.31, issue.2, pp.107-119, 2000.

N. Takeda and S. &ogihara, Initiation and growth of delamination from the tips of transverse cracks in CFRP cross-ply laminates, Composites science and technology, vol.52, issue.3, pp.309-318, 1994.

N. Takeda, S. Ogihara, and A. Kobayashi, Microscopic fatigue damage progress in CFRP cross-ply laminates, Composites, vol.26, issue.12, pp.859-867, 1995.

J. Zhang, C. Soutis, and J. Fan, Effects of matrix cracking and hygrothermal stresses on the strain energy release rate for edge delamination in composite laminates, Composites, vol.25, issue.1, pp.27-35, 1994.

L. Y. Xu, Interaction between matrix cracking and edge delamination in composite laminates, Composites science and technology, vol.50, issue.4, pp.469-478, 1994.

A. Pupurs and J. Varna, Fracture mechanics analysis of debond growth in a single-fiber composite under cyclic loading, Mechanics of composite materials, vol.47, issue.1, p.109, 2011.

A. Pupurs, S. Goutianos, P. Brondsted, and J. Varna, Interface debond crack growth in tension-tension cyclic loading of single fiber polymer composites, Composites Part A: Applied Science and Manufacturing, vol.44, pp.86-94, 2013.

A. P. Mouritz and B. N. Cox, A mechanistic interpretation of the comparative in-plane mechanical properties of 3D woven, stitched and pinned composites, Composites Part A:Applied Science and Manufacturing, vol.41, issue.6, pp.709-728, 2010.

S. A. Rudov-clark and A. P. &mouritz, Tensile fatigue properties of a 3D orthogonal woven composite, Composites Part A: Applied Science and Manufacturing, vol.39, issue.6, pp.1018-1024, 2008.

A. P. Mouritz, Tensile fatigue properties of 3D composites with throughthickness reinforcement, Composites science and technology, vol.68, issue.12, pp.2503-2510, 2008.

S. D. Pandita, G. Huysmans, M. Wevers, and I. &verpoest, Tensile fatigue damage development in plain weave and knitted fabric composites (GFRP), 1999.

, Proceedings of the 12th international conference on composite materials, pp.5-9

V. Carvelli and S. V. &lomov, Fatigue of textile composites, 2015.

K. H. Tsai, C. H. Chiu, and T. H. Wu, Fatigue behavior of 3D multi-layer angle interlock woven composite plates, Composites Science and Technology, vol.60, issue.2, pp.241-248, 2000.

D. H. Allen and C. Yoon, Homogenization techniques for thermoviscoelastic solids containing cracks, International Journal of Solids and Structures, vol.35, pp.4035-4053, 1998.

, ANSYS 5.6 Structural Analysis Guide, 1999.

P. Bussetta, D. Marceau, and J. P. &ponthot, The adapted augmented Lagrangian method: a new method for the resolution of the mechanical frictional contact problem, Computational Mechanics, vol.49, issue.2, pp.259-275, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01310670

P. Gudmundson and W. Zang, A universal model for thermoelastic properties of macro cracked composite laminates, International Journal of Solids and Structures, vol.30, issue.23, pp.3211-3231, 1993.

M. Hajikazemi and L. N. Mccartney, Comparison of Variational and Generalized Plane Strain approaches for matrix cracking in general symmetric laminates, International Journal of Damage Mechanics, vol.27, issue.4, pp.507-540, 2018.

Z. Hashin, Analysis of cracked laminates: a variational approach, Mechanics of materials, vol.4, issue.2, pp.121-136, 1985.

R. D. Jamison, K. Schulte, K. L. Reifsnider, and W. W. &stinchcomb, Characterization and analysis of damage mechanisms in tension-tension fatigue of graphite/epoxy laminates. In Effects of defects in composite materials, 1984.

R. Joffe and J. Varna, Analytical modeling of stiffness reduction in symmetric and balanced laminates due to cracks in 90 layers, Composites Science and Technology, vol.59, issue.11, pp.1641-1652, 1999.

R. Joffe, A. Krasnikovs, and J. Varna, COD-based simulation of transverse cracking and stiffness reduction in [S/90n] s laminates. Composites science and technology, vol.61, pp.637-656, 2001.

M. Kashtalyan and C. &soutis, Analysis of composite laminates with intra-and interlaminar damage, Progress in Aerospace Sciences, vol.41, issue.2, pp.152-173, 2005.

P. Lundmark and J. Varna, Modeling thermo-mechanical properties of damaged laminates, In Key Engineering Materials, vol.251, pp.381-388, 2003.

P. Lundmark and J. Varna, Constitutive relationships for laminates with ply cracks in in-plane loading, International Journal of Damage Mechanics, vol.14, issue.3, pp.235-259, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00571145

P. Lundmark and J. Varna, Crack face sliding effect on stiffness of laminates with ply cracks, Composites Science and Technology, vol.66, issue.10, pp.1444-1454, 2006.

M. S. Loukil, J. Varna, and Z. &ayadi, Engineering expressions for thermo-elastic constants of laminates with high density of transverse cracks, Composites Part A: Applied Science and Manufacturing, vol.48, pp.37-46, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01297319

L. N. Mccartney and G. A. &schoeppner, Predicting the effect of non-uniform ply cracking on the thermoelastic properties of cross-ply laminates, Composites Science and Technology, vol.62, issue.14, pp.1841-1856, 2002.

L. N. Mccartney, G. A. Schoeppner, and W. Becker, B). Comparison of models for transverse ply cracks in composite laminates, Composites Science and Technology, vol.60, pp.2347-2359, 2000.

L. N. Mccartney, A. Blazquez, and F. Paris, Energy-based delamination theory for biaxial loading in the presence of thermal stresses, Composites Science and Technology, vol.72, issue.14, pp.1753-1766, 2012.

J. A. Nairn and S. Hu, Composite Materials Series: Damage Mechanics of Composite Materials, R. Talreja, vol.9, pp.187-243, 1994.

R. J. Nuismer and S. C. Tan, Constitutive relations of a cracked composite lamina, Journal of Composite Materials, vol.22, issue.4, pp.306-321, 1988.

T. K. O'brien, Characterization of delamination onset and growth in a composite laminate, Damage in Composite Materials: Basic Mechanisms, Accumulation, Tolerance, and Characterization, pp.140-167, 1982.

A. Parvizi and J. E. Bailey, On multiple transverse cracking in glass fibre epoxy cross-ply laminates, Journal of Materials Science, vol.13, issue.10, pp.2131-2136, 1978.

A. Pupurs, J. Varna, M. Loukil, H. B. Kahla, and D. &mattsson, Effective stiffness concept in bending modeling of laminates with damage in surface 90-layers, Composites Part A: Applied Science and Manufacturing, vol.82, pp.244-252, 2016.

P. A. Smith and J. R. Wood, Poisson's ratio as a damage parameter in the static tensile loading of simple crossply laminates, Composites Science and Technology, vol.38, issue.1, pp.85-93, 1990.

N. Takeda, S. Ogihara, and A. Kobayashi, Microscopic fatigue damage progress in CFRP crossply laminates, Composites, vol.26, issue.12, pp.859-867, 1995.

J. Varna and L. Berglund, Multiple transverse cracking and stiffness reduction in cross-ply laminates, Technology and Research, vol.13, issue.2, pp.97-106, 1991.

J. Varna and L. A. Berglund, Thermo-elastic properties of composite laminates with transverse cracks, Technology and Research, vol.16, issue.1, pp.77-87, 1994.

J. Varna, Modelling mechanical performance of damaged laminates, Journal of composite materials, vol.47, pp.2443-2474, 2013.

J. Varna, Strategies for stiffness analysis of laminates with microdamage: combining average stress and crack face displacement based methods, ZAMM-Journal of Applied Mathematics and Mechanics/ZeitschriftfürAngewandteMathematik und Mechanik, vol.95, issue.10, pp.1081-1097, 2015.

J. Varna and M. S. Loukil, Effective transverse modulus of a damaged layer: Potential for predicting symmetric laminate stiffness degradation, Journal of composite materials, vol.51, issue.14, pp.1945-1959, 2017.

J. Zhang, J. Fan, and C. &soutis, Analysis of multiple matrix cracking in [±?m/90n] s composite laminates. Part 1: In-plane stiffness properties, Composites, vol.23, issue.5, pp.291-298, 1992.

S. Kuriakose and R. Talreja, Variational solutions to stresses in cracked cross-ply laminates under bending, International Journal of Solids and Structures, vol.41, issue.9, pp.2331-2347, 2004.

R. Talreja, Damage characterization by internal variables

J. Nairn, S. Hu, and . Matrix, Damage Mechanics of Composite Materials, Composite Material Series, vol.9, pp.187-243, 1994.

J. M. Berthelot, Transverse Cracking and Delamination in Cross-ply Glass-fiber and Carbonfiber Reinforced Plastic Laminates: Static and Fatigue Loading, Appl Mech Rev, vol.56, issue.1, pp.111-147, 2003.

P. A. Smith and J. R. Wood, Poisson's ratio as a damage parameter in the static tensile loading of simple cross-ply laminates, Compos Sci Tech, vol.38, pp.85-93, 1990.

Z. Hashin, Analysis of cracked laminates: a variational approach, Mech Mater, vol.4, pp.121-136, 1985.

J. Varna and L. A. Berglund, Thermo-Elastic Properties of Composite Laminates with transverse cracks, J Compos Tech Res, vol.16, pp.77-87, 1994.

A. Krasnikovs and J. Varna, Transverse Cracks in Cross-ply Laminates. Part 1, Stress Analysis. Mech Compos Mater, vol.33, issue.6, pp.565-582, 1997.

L. N. Mccartney, G. A. Schoeppner, and W. Becker, Comparison of models for transverse ply cracks in composite laminates, Compos Sci Tech, vol.60, pp.2347-2359, 2000.

P. A. Smith and S. L. Ogin, Characterization and Modelling of Matrix Cracking in a (0/90)2s

, GFRP Laminate Loaded in Flexure, Proc Math Phys Eng Sci, vol.456, pp.2755-2770, 2000.

P. A. Smith and S. L. Ogin, On transverse matrix cracking in cross-ply laminates loaded in simple bending, Compos Appl Sci Manuf, vol.30, pp.1003-1008, 1999.

M. Hajikazemi, M. H. Sadr, and R. Talreja, Variational analysis of cracked general cross-ply laminates under bending and biaxial extension, International Journal of Damage Mechanics, vol.24, issue.4, pp.582-624, 2015.

L. N. Mccartney and C. Pierse, Stress transfer mechanics for multiple ply laminates for axial loading and bending, Proc 11th Int. Conf. on Composite Materials, 1997

L. N. Mccartney, Stress transfer mechanics for multiple ply cross-ply laminates subjected to bending, Proceedings of 6th International Conference on Deformation and Fracture of Composites, pp.57-66, 2001.

A. Adumitroaie and E. Barbero, Intralaminar Damage Model for Laminates Subjected to Membrane and Flexural Deformations, Mechanics of Advanced Materials and Structures, vol.22, issue.9, pp.705-716, 2015.

L. Mccartney, Energy methods for modeling damage in laminates, Journal of Composite Materials, vol.47, pp.2613-2640

L. N. Mccartney, Physically based damage models for laminated composites, Part L: J. Materials, Design and Applications, vol.217, pp.163-169

E. Adolfsson and P. Gudmundson, Thermoelastic properties in combined bending and extension of thin composite laminates with transverse matrix cracks, Int. J. Solids Struct, vol.34, issue.16, pp.2035-2060, 1997.

L. Farge, J. Varna, and Z. Ayadi, Use of full-field measurements to evaluate analytical models for laminates with intralaminar cracks, J Compos Mater, vol.46, issue.21, pp.2739-2752, 2012.

J. Zhang, J. Fan, and C. Soutis, Analysis of multiple matrix cracking in [±?m/90n]s composite laminates. Part 1. In-plane stiffness properties, Composites, vol.23, pp.291-304, 1992.

J. Varna, Modeling Mechanical Performance of Damaged Laminates, J Compos Mater, vol.47, pp.2443-2474, 2013.

J. Varna, L. A. Berglund, R. Talreja, and A. Jakovics, A study of the crack opening displacement of transverse cracks in cross ply laminates, Int J Dam Mech, vol.2, pp.272-289, 1993.

M. S. Loukil, J. Varna, and Z. Ayadi, Damage characterization in glass fiber/epoxy laminates using Electronic Speckle Pattern Interferometry, Exp Tech, vol.39, issue.2, pp.38-45, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01297316

P. Lundmark and J. Varna, Constitutive Relationships for Laminates with Ply Cracks in In-plane Loading, Int J Dam Mech, vol.14, issue.3, pp.235-261, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00571145

P. Lundmark and J. Varna, Crack face sliding effect on stiffness of laminates with ply cracks, Compos Sci Tech, vol.66, pp.1444-1454, 2006.

P. Lundmark and J. Varna, Stiffness reduction in laminates at high intralaminar crack density: effect of crack interaction, Int J Dam Mech, vol.20, pp.279-297, 2011.

M. S. Loukil, J. Varna, and Z. Ayadi, Engineering expressions for thermo-elastic constants of laminates with high density of transverse cracks, Compos Appl Sci Manuf, vol.48, issue.1, p.37, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01297319

J. Varna, Strategies for stiffness analysis of laminates with microdamage: combining average stress and crack face displacement based methods, J Appl Math Mech Z Angew Math Mech, pp.1-17, 2015.

J. Varna, On effective properties of layers in damaged composite laminates, Key Engineering Materials, pp.490-493, 2012.

, ANSYS Release, 2011.