M.W. Hyer Stress analysis of fiber-reinforced composite materials DEStech Publications, Inc (2009)

J. Aboudi Mechanics of composite materials: a unified micromechanical approach, vol. 29Elsevier (2013)

K. Terada, M. Hori, T. Kyoya, N. Kikuchi Simulation of the multi-scale convergence in computational homogenization approaches Int J Solids Struct, 37 (16) (2000), pp. 2285–2311

A. Wongsto, S. Li Micromechanical FE analysis of UD fibre-reinforced composites with fibres distributed at random over the transverse cross-section Compos Part A Appl Sci Manuf, 36 (9) (2005), pp. 1246–1266

Z.R. Khokhar, I.A. Ashcroft, V.V. Silberschmidt Simulations of delamination in CFRP laminates: effect of microstructural randomness Comput Mater Sci, 46 (3) (2009), pp. 607–613

Y. Swolfs, R.M. McMeeking, I. Verpoest, L. Gorbatikh Matrix cracks around fibre breaks and their effect on stress redistribution and failure development in unidirectional composites Compos Sci Technol, 108 (2015), pp. 16–22

M. Herráez, C. González, C. Lopes, R.G. de Villoria, J. LLorca, T. Varela, et al. Computational micromechanics evaluation of the effect of fibre shape on the transverse strength of unidirectional composites: an approach to virtual materials design Compos Part A Appl Sci Manuf, 91 (2016), pp. 484–492

T. Mori, K. Tanaka Average stress in matrix and average elastic energy of materials with misfitting inclusions Acta metall, 21 (5) (1973), pp. 571–574

Y. Benveniste A new approach to the application of mori-tanaka's theory in composite materials Mech Mater, 6 (2) (1987), pp. 147–157

P.P. Castañeda Exact second-order estimates for the effective mechanical properties of nonlinear composite materials J Mech Phys Solids, 44 (6) (1996), pp. 827–862

N. Lahellec, P. Suquet On the effective behavior of nonlinear inelastic composites: Ii: A second-order procedure J Mech Phys Solids, 55 (9) (2007), pp. 1964–1992

M. Mehdikhani, M. Aravand, B. Sabuncuoglu, M.G. Callens, S.V. Lomov, L. Gorbatikh Full-field strain measurements at the micro-scale in fiber-reinforced composites using digital image correlation Compos Struct, 140 (2016), pp. 192–201

K.C. Liu, A. Ghoshal Validity of random microstructures simulation in fiber-reinforced composite materials Compos Part B Eng, 57 (2014), pp. 56–70

S. Swaminathan, S. Ghosh, N. Pagano Statistically equivalent representative volume elements for unidirectional composite microstructures: Part I-without damage J Compos Mater, 40 (7) (2006), pp. 583–604

I. Gitman, H. Askes, L. Sluys Representative volume: existence and size determination Eng Fract Mech, 74 (16) (2007), pp. 2518–2534

R. Talreja Damage mechanics of composite materials Elsevier (1994)

B. Fiedler, M. Hojo, S. Ochiai, K. Schulte, M. Ochi Finite-element modeling of initial matrix failure in cfrp under static transverse tensile load Compos Sci Technol, 61 (1) (2001), pp. 95–105

Y. Ismail, D. Yang, J. Ye A dem model for visualising damage evolution and predicting failure envelope of composite laminae under biaxial loads Compos Part B Eng, 102 (2016), pp. 9–28

M. Rouhi, M. Rais-Rohani, A. Najafi Probabilistic analysis and optimization of energy absorbing components made of nanofiber enhanced composite materials Compos Struct, 100 (2013), pp. 144–153

M.J. Bogdanor, C. Oskay, S.B. Clay Multiscale modeling of failure in composites under model parameter uncertainty Comput Mech, 56 (3) (2015), pp. 389–404

L. Wang, B. Wang, S. Wei, Y. Hong, C. Zheng Prediction of long-term fatigue life of cfrp composite hydrogen storage vessel based on micromechanics of failure Compos Part B Eng, 97 (2016), pp. 274–281

L. Wang, C. Zheng, S. Wei, Z. Wei Micromechanics-based progressive failure analysis of carbon fiber/epoxy composite vessel under combined internal pressure and thermomechanical loading Compos Part B Eng, 89 (2016), pp. 77–84

V. Buryachenko, N. Pagano, R. Kim, J. Spowart Quantitative description and numerical simulation of random microstructures of composites and their effective elastic moduli Int J Solids Struct, 40 (1) (2003), pp. 47–72

K. Terada, T. Miura, N. Kikuchi Digital image-based modeling applied to the homogenization analysis of composite materials Comput Mech, 20 (4) (1997), pp. 331–346

D. Mortell, D. Tanner, C. McCarthy A virtual experimental approach to microscale composites testing Compos Struct, 171 (2017), pp. 1–9

S.H.R. Sanei, E.J. Barsotti, D. Leonhardt, R.S. Fertig Characterization, synthetic generation, and statistical equivalence of composite microstructures J Compos Mater (2016), pp. 1–13

J. Ohser, F. Mücklich Statistical analysis of microstructures in materials science Wiley (2000)

S. Kari, H. Berger, R. Rodriguez-Ramos, U. Gabbert Computational evaluation of effective material properties of composites reinforced by randomly distributed spherical particles Compos Struct, 77 (2) (2007), pp. 223–231

D. Trias, J. Costa, A. Turon, J. Hurtado Determination of the critical size of a statistical representative volume element (SRVE) for carbon reinforced polymers Acta Mater, 54 (13) (2006), pp. 3471–3484

A.A. Gusev, P.J. Hine, I.M. Ward Fiber packing and elastic properties of a transversely random unidirectional glass/epoxy composite Compos Sci Technol, 60 (4) (2000), pp. 535–541

A.A. Gusev Numerical identification of the potential of whisker-and platelet-filled polymers Macromolecules, 34 (9) (2001), pp. 3081–3093

Z. Wang, X. Wang, J. Zhang, W. Liang, L. Zhou Automatic generation of random distribution of fibers in long-fiber-reinforced composites and mesomechanical simulation Mater Des, 32 (2) (2011), pp. 885–891

T. Vaughan, C. McCarthy A combined experimental-numerical approach for generating statistically equivalent fibre distributions for high strength laminated composite materials Compos Sci Technol, 70 (2) (2010), pp. 291–297

M. Pathan, V. Tagarielli, S. Patsias, P. Baiz-Villafranca A new algorithm to generate representative volume elements of composites with cylindrical or spherical fillers Composites Part B: Engineering, 110 (2017), pp. 267–278

L. Yang, Y. Yan, Z. Ran, Y. Liu A new method for generating random fibre distributions for fibre reinforced composites Compos Sci Technol, 76 (2013), pp. 14–20

Y. Ismail, Y. Sheng, D. Yang, J. Ye Discrete element modelling of unidirectional fibre-reinforced polymers under transverse tension Compos Part B Eng, 73 (2015), pp. 118–125

Y. Ismail, D. Yang, J. Ye Discrete element method for generating random fibre distributions in micromechanical models of fibre reinforced composite lamnates Compos Part B Eng, 90 (2016), pp. 485–492

A. Melro, P. Camanho, S. Pinho Generation of random distribution of fibres in long-fibre reinforced composites Compos Sci Technol, 68 (9) (2008), pp. 2092–2102

V. Romanov, S.V. Lomov, Y. Swolfs, S. Orlova, L. Gorbatikh, I. Verpoest Statistical analysis of real and simulated fibre  arrangements in unidirectional composites Compos Sci Technol, 87 (2013), pp. 126–134

Abaqus User's manual Pawtucket, RI, USA  (2011)

A. Melro, P. Camanho, F.A. Pires, S. Pinho Micromechanical analysis of polymer composites reinforced by unidirectional fibres: Part I–constitutive modelling Int J Solids Struct, 50 (11) (2013), pp. 1897–1905

A. Melro, P. Camanho, F.A. Pires, S. Pinho Micromechanical analysis of polymer composites reinforced by unidirectional fibres: Part II–micromechanical analyses Int J Solids Struct, 50 (11) (2013), pp. 1906–1915

D. Trias, J. Costa, J. Mayugo, J. Hurtado Random models versus periodic models for fibre reinforced composites Comput Mater Sci, 38 (2) (2006), pp. 316–324

C. Sun, R. Vaidya Prediction of composite properties from a representative volume element Compos Sci Technol, 56 (2) (1996), pp. 171–179

Z. Khisaeva, M. Ostoja-Starzewski On the size of rve in finite elasticity of random composites J Elast, 85 (2) (2006), pp. 153–173

D. Krause A physically based micromechanical approach to model damage initiation and evolution of fiber reinforced polymers under fatigue loading conditions Compos Part B Eng, 87 (2016), pp. 176–195

M. Hojo, M. Mizuno, T. Hobbiebrunken, T. Adachi, M. Tanaka, S.K. Ha Effect of fiber array irregularities on microscopic interfacial normal stress states of transversely loaded ud-cfrp from viewpoint of failure initiation Compos Sci Technol, 69 (11) (2009), pp. 1726–1734

M.K. Ballard, W.R. McLendon, J.D. Whitcomb The influence of microstructure randomness on prediction of fiber properties in composites J Compos Mater, 48 (29) (2014), pp. 3605–3620

L. Yang, Y. Yan, J. Ma, B. Liu Effects of inter-fiber spacing and thermal residual stress on transverse failure of fiber-reinforced polymer–matrix composites Comput Mater Sci, 68 (2013), pp. 255–262

S. Sriramula, M.K. Chryssanthopoulos Quantification of uncertainty modelling in stochastic analysis of FRP composites Compos Part A Appl Sci Manuf, 40 (11) (2009), pp. 1673–1684