[1]
C. O. Horgan and G. Saccomandi, "A new constitutive theory for fiber-reinforced incompressible nonlinearly elastic solids," Journal of the Mechanics and Physics of Solids, vol. 53, no. 9, pp. 1985–2015, 2005,
https://doi.org/10.1016/j.jmps.2005.04.004.
[2]N. Lahellec, F. Mazerolle, and J.-C. Michel, "Second-order estimate of the macroscopic behavior of periodic hyperelastic composites: theory and experimental validation,”
Journal of the Mechanics and Physics of Solids, vol. 52, no. 1, pp. 27–49, 2004,
https://doi.org/10.1016/S0022-5096(03)00104-2.
[3]
A. J. M. Spencer,
Continuum Theory of the Mechanics of Fibre-Reinforced Composites, Vienna: Springer, 2014,
https://doi.org/10.1007/978-3-7091-4336-0.
[4]
G. Y. Qiu and T. Pence, "Remarks on the behavior of simple directionally reinforced incompressible nonlinearly elastic solids," Journal of Elasticity, vol. 49, pp. 1–30, 1997,
https://doi.org/10.1023/A:1007410321319.
[5]
J. Merodio and R. W. Ogden, "Mechanical response of fiber-reinforced incompressible non-linearly elastic solids,"
International Journal of Non-Linear Mechanics, vol. 40, no. 2–3, pp. 213–227, 2005,
https://doi.org/10.1016/j.ijnonlinmec.2004.05.003.
[6]Z. Y. Guo, X. Q. Peng, and B. Moran, "A composites-based hyperelastic constitutive model for soft tissue with application to the human annulus fibrosus,"
Journal of the Mechanics and Physics of Solids, vol. 54, no. 9, pp. 1952–1971, 2006,
https://doi.org/10.1016/j.jmps.2006.02.006.
[7]G. DeBotton, I. Hariton, and E. A. Socolsky, "Neo-Hookean fiber-reinforced composites in finite elasticity,”
Journal of the Mechanics and Physics of Solids, vol. 54, no. 3, pp. 533–559, 2006,
https://doi.org/10.1016/j.jmps.2005.10.001.
[8]
P. P. Castañeda, "Second-order theory for nonlinear dielectric composites incorporating field fluctuations," Physical Review B, vol. 64, no. 21, 2001, Art. no. 214205,
https://doi.org/10.1103/PhysRevB.64.214205.
[9]
P. P. Castaneda, "Second-order homogenization estimates for nonlinear composites incorporating field fluctuations: I-theory," Journal of the Mechanics and Physics of Solids, vol. 50, no. 4, pp. 737–757, 2002, https://doi.org/10.1016/S0022-5096(01)00099-0 .
[10]
M. Brun, O. Lopez Pamies, and P. P. Castaneda, "Homogenization estimates for fiber-reinforced elastomers with periodic microstructures,"
International Journal of Solids and Structures, vol. 44, no. 18–19, pp. 5953–5979, 2007,
https://doi.org/10.1016/j.ijsolstr.2007.02.003.
[11]
J. Moraleda, J. Segurado, and J. Llorca, "Finite deformation of porous elastomers: a computational micromechanics approach,"
Philosophical Magazine, vol. 87, no. 35, pp. 5607–5627, 2007,
https://doi.org/10.1080/14786430701678930.
[12]
J. E. Bischoff, E. A. Arruda, and K. Grosh, "A microstructurally based orthotropic hyperelastic constitutive law," Journal of Applied Mechanics, vol. 69, no. 5, pp. 570–579, 2002,
https://doi.org/10.1115/1.1485754.
[13]
M. T. Abadi, "Rheological characterization of continuous fiber-reinforced viscous fluid,"
Journal of Non-Newtonian Fluid Mechanics, vol. 165, no. 15–16, pp. 914–922, 2010,
https://doi.org/10.1016/j.jnnfm.2010.05.001.
[14]
M. T. Abadi, "Mechanical behavior of continuous fiber-reinforced elastomeric materials at finite strain,"
Mechanics of Advanced Materials and Structures, vol. 19, no. 5, pp. 360–366, 2012,
https://doi.org/10.1080/15376494.2010.528164.
[15]
M. Fernández, M. Jamshidian, T. Böhlke, K. Kersting, and O. Weeger, "Anisotropic hyperelastic constitutive models for finite deformations combining material theory and data-driven approaches with application to cubic lattice metamaterials," Computational Mechanics, vol. 67, pp. 653–677, 2021,
https://doi.org/10.1007/s00466-020-01954-7.
[16]
X. Liu, S. Tian, F. Tao, and W. Yu, "A review of artificial neural networks in the constitutive modeling of composite materials,"
Composites Part B: Engineering, vol. 224, 2021, Art. no. 109152,
https://doi.org/10.1016/j.compositesb.2021.109152.
[17]
A. Hussain, A. H. Sakhaei, and M. Shafiee, "Machine learning-based constitutive modelling for material non-linearity: A review," Mechanics of Advanced Materials and Structures, 2024,
https://doi.org/10.1080/15376494.2024.2439557.
[18]
J. Ghaboussi, D. A. Pecknold, M. Zhang, and R. Haj Ali, "Autoprogressive training of neural network constitutive models,"
International Journal for Numerical Methods in Engineering, vol. 42, no. 1, pp. 105-126, 1998,
https://doi.org/10.1002/(SICI)1097-0207(19980515)42:1<105::AID-NME356>3.0.CO;2-V.
[19]
R. Haj Ali, D. Pecknold, J. Ghaboussi, and G. Voyiadjis, "Simulated micromechanical models using artificial neural networks," Journal of Engineering Mechanics, vol. 127, no. 7, pp. 730–738, 2001, https://doi.org/10.1061/(ASCE)0733-9399(2001)127:7(730).
[20] R. M. Haj Ali, D. A. Pecknold, and J. Ghaboussi, "Micromechanics-based constitutive damage models for composite materials using artificial neural-networks," Modeling and simulation based engineering, pp. 551–557, 1998.
[21]
C. Yang, Y. Kim, S. Ryu, G. X. Gu, "Using convolutional neural networks to predict composite properties beyond the elastic limit,"
MRS Communications, vol. 9, no. 2, pp. 609-617, 2019,
https://doi.org/10.1557/mrc.2019.49.
[22]
M. Al Assadi, H. A. El Kadi, and I. M. Deiab, "Using artificial neural networks to predict the fatigue life of different composite materials including the stress ratio effect," Applied Composite Materials, vol. 18, no. 4, pp. 297–309, 2011,
https://doi.org/10.1007/s10443-010-9158-7.
[23]
P. Pratim Das, M. Elenchezhian, V. Vadlamudi, and R. Raihan, "Artificial intelligence assisted residual strength and life prediction of fiber reinforced polymer composites," in
AIAA SCITECH 2023 Forum, National Harbor, MD & Online, 2023,
https://doi.org/10.2514/6.2023-0773.
[24]
A. H. Mirzaei, P. Haghi, M. M. Shokrieh, "Prediction of fatigue life of laminated composites by integrating artificial neural network model and non-dominated sorting genetic algorithm,"
International Journal of Fatigue, vol. 188, 2024, Art. no. 108528,
https://doi.org/10.1016/j.ijfatigue.2024.108528.
[25]
C. T. Chen and G. X. Gu, "Generative deep neural networks for inverse materials design using backpropagation and active learning,"
Advanced Science, vol. 7, no. 5, 2020,
https://doi.org/10.1002/advs.201902607.
[26] M. K. Taher, S. Khudhair, G. Kovacs, S. Szaval, and M. M. Sahib, "Using artificial neural network in reverse design of fiber reinforced plastic composite materials," International Journal of Multiphysics, vol. 18, no. 3, pp. 1430-1445, 2024.
[27]
X. Liu
et al., "Design optimization of laminated composite structures using artificial neural network and genetic algorithm,"
Composite Structures, vol. 305, 2023, Art. no. 116500,
https://doi.org/10.1016/j.compstruct.2022.116500.
[28]
X. Liu, C.
A. Featherston, and D. Keccedy, "A novel parallel method for layup optimization of composite structures with ply drop-offs,"
Composite Structures, vol. 312, 2023, Art. no. 116853,
https://doi.org/10.1016/j.compstruct.2023.116853.
[29]
B. Miller and L. Ziemianski, "Accelerating multi-objective optimization of composite structures using multi-fidelity surrogate models and curriculum learning,"
Materials,
vol. 18, no. 7, 2025, Art. no. 1469.
https://doi.org/10.3390/ma18071469.
[30]
M. T. Abadi, "Characterization of heterogeneous materials under shear loading at finite strain," Composite Structures, vol. 92, no. 2, pp. 578–584, 2010,
https://doi.org/10.1016/j.compstruct.2009.09.002.
[31]M. T. Abadi, "Micromechanical modeling of heterogeneous materials at finite strain," in Wiley Encyclopedia of Composites, L. Nicolais, Ed. John Wiley & Sons, Inc. 2011, pp. 1-13, https://doi.org/10.1002/9781118097298.weoc155.