References
- H. Yang, X. Xu, and I. Neumann, Optimal finite element model with response surface methodology for concrete structures based on Terrestrial Laser Scanning technology, Compos. Struct., vol. 183, pp. 2–6, 2018. DOI: https://doi.org/10.1016/j.compstruct.2016.11.012.
- X. Xu, H. Yang, Y. Zhang, and I. Neumann, Intelligent 3D data extraction method for deformation analysis of composite structures, Compos. Struct., vol. 203, pp. 254–258, 2018. DOI: https://doi.org/10.1016/j.compstruct.2018.07.003.
- R.H. Lopez, D. Lemosse, J.E.S.D. Cursi, J. Rojas, and A. El-Hami, An approach for the reliability based design optimization of laminated composites, Eng. Optim., vol. 43, no. 10, pp. 1079–1094, 2011. DOI: https://doi.org/10.1080/0305215X.2010.535818.
- A. Maizia, A. Hocine, H. Dehmous, and D. Chapelle, Prediction of reliability analysis of composite tubular structure under hygro-thermo-mechanical loading, Mech. Adv. Mater. Struct., vol. 26, no. 4, pp. 372–379, 2019. DOI: https://doi.org/10.1080/15376494.2017.1387329.
- S. Mukherjee, R. Ganguli, and S. Gopalakrishnan, Optimization of laminated composite structure considering uncertainty effects, Mech. Adv. Mater. Struct., vol. 26, no. 6, pp. 493–502, 2019. DOI: https://doi.org/10.1080/15376494.2017.1400621.
- F. Ahmad, H.S. Choi, and M.K. Park, A review: Natural fiber composites selection in view of mechanical, light weight, and economic properties. Macromol. Mater. Eng., vol. 300, no. 1, pp. 10–24, 2015. DOI: https://doi.org/10.1002/mame.201400089.
- L. Yang, Reliability of composite laminates, Mech. Struct. Mach., vol. 16, no. 4, pp. 523–536, 1988. DOI: https://doi.org/10.1080/08905458808960275.
- M. Chiachio, J. Chiachio, and G. Rus, Reliability in composites – a selective review and survey of current development, Composite Part B, vol. 43, no. 3, pp. 902–913, 2012. DOI: https://doi.org/10.1016/j.compositesb.2011.10.007.
- B.K. Low, FORM, SORM, and spatial modeling in geotechnical engineering, Struct. Saf., vol. 49, pp. 56–64, 2014. DOI: https://doi.org/10.1016/j.strusafe.2013.08.008.
- Z. Deng and Z. Guo, Interval identification of structural parameters using interval overlap ratio and Monte Carlo simulation, Adv. Eng. Softw., vol. 121, pp. 120–130, 2018. DOI: https://doi.org/10.1016/j.advengsoft.2018.04.006.
- X. Qu, R.T. Haftka, S. Venkataraman, and T.F. Johnson, Deterministic and reliability-based optimization of composite laminates for cryogenic environments, AIAA J., vol. 41, no. 10, pp. 2029–2036, 2003. DOI: https://doi.org/10.2514/2.1893.
- J. Daz, M. Cid Montoya, and S. Hernandez, Efficient methodologies for reliability-based design optimization of composite panels, Adv. Eng. Softw., vol. 93, pp. 9–21, 2016. DOI: https://doi.org/10.1016/j.advengsoft.2015.12.001.
- D. Lehky, O. Slowik, and D. Novak, Reliability-based design: Artificial neural networks and double-loop reliability-based optimization approaches, Adv. Eng. Softw., vol. 117, pp. 123–135, 2018. DOI: https://doi.org/10.1016/j.advengsoft.2017.06.013.
- C. Lopez, O. Bacarreza, A. Baldomir, S. Hernandez, and M.H. Ferri Aliabadi, Reliability-based design optimization of composite stiffened panels in post-buckling regime, Struct. Multidisc. Optim., vol. 55, pp. 1121–1141, 2016. DOI: https://doi.org/10.1007/s00158-016-1568-1.
- M.C. Shiao, S.N. Singhal, and C.C. Chamis, A method for the probabilistic design assessment of composite structures, 24th International SAMPE Technical Conference, NASA STI/Recon Technical Memorandum, pp. 94, October 20–22, Toronto, Canada, 1994.
- M.C. Shiao and C.C. Chamis, Probabilistic evaluation of fuselage-type composite structures, Probab. Eng. Mech., vol. 14, no. 1–2, pp. 179–187, 1999. DOI: https://doi.org/10.1016/S0266-8920(98)00027-7.
- C.C. Chamis, Probabilistic simulation of multi-scale composite behavior, Theor. Appl. Fract. Mech., vol. 41, no. 1–3, pp. 51–61, 2004. DOI: https://doi.org/10.1016/j.tafmec.2003.11.005.
- M. Elseifi, M. Khalessi, H.Z. Lin, G. Rogers, and T. Torng, Probabilistic analysis of thick composite plates with manufacturing and material uncertainties, AIAA Applied Aerodynamics Conference, San Diego, California, USA, 2013.
- S. Ghosh, Z. Nowak, and K. Lee, Quantitative characterization and modeling of composite microstructures by Voronoi cells, Acta Mater., vol. 45, no. 6, pp. 2215–2234, 1997. C
- E. Car, F. Zalamea, S. Oller, J. Miquel, and E. Onate, Numerical simulation of fibre reinforced composite materials – Two procedures, Int. J. Solids Struct., vol. 39, no. 7, pp. 1967–1986, 2002. DOI: https://doi.org/10.1016/S0020-7683(01)00240-2.
- L.L. Graham-Brady, E.F. Siragy, and S.C. Baxter, Analysis of heterogeneous composites based on moving-window techniques, J. Eng. Mech., vol. 129, no. 9, pp. 1054–1064, 2003. DOI: https://doi.org/10.1061/(ASCE)0733-9399(2003)129:9(1054).
- X.Y. Zhou, P.D. Gosling, Z. Ullah, L. Kaczmarczyk, and C.J. Pearce, Stochastic multi-scale finite element based reliability analysis for laminated composite structures, Appl. Math. Modell., 45, pp. 457–473, 2017. DOI: https://doi.org/10.1016/j.apm.2016.12.005.
- X.Y. Zhou, P.D. Gosling, Z. Ullah, L. Kaczmarczyk, and C.J. Pearce, Exploiting the benefits of multi-scale analysis in reliability analysis for composite structures, Compos. Struct., vol. 155, pp. 197–212, 2016. DOI: https://doi.org/10.1016/j.compstruct.2016.08.015.
- S.W. Tsai and E.M. Wu, A general theory of strength for anisotropic materials, J. Compos. Mater., vol. 5, no. 1, pp. 58–80, 1971. DOI: https://doi.org/10.1177/002199837100500106.
- Z. Hashin and A. Rotem, A fatigue failure criterion for fiber reinforced materials, J. Compos. Mater., vol. 7, no. 4, pp. 448–464, 1973. DOI: https://doi.org/10.1177/002199837300700404.
- Z. Hashin, Failure criteria for unidirectional fiber composites, J. Appl. Mech., vol. 47, no. 2, pp. 329–334, 1980. DOI: https://doi.org/10.1115/1.3153664.
- O. Hoffman, The brittle strength of orthotropic materials, J. Compos. Mater., vol. 1, no. 2, pp. 200–206, 1967. DOI: https://doi.org/10.1177/002199836700100210.
- S.L. Omairey, P.D. Dunning, and S. Sriramula, Influence of micro-scale uncertainties on the reliability of fibre-matrix composites, Compos. Struct., vol. 203, pp. 204–216, 2018. DOI: https://doi.org/10.1016/j.compstruct.2018.07.026.
- R. Bostanabad, et al., Uncertainty quantification in multiscale simulation of woven fiber composites, Compos. Methods Appl. Mech. Eng., vol. 338, pp. 506–532, 2018. DOI: https://doi.org/10.1016/j.cma.2018.04.024.
- C. Zhu, P. Zhu, and Z. Liu, Uncertainty analysis of mechanical properties of plain woven carbon fiber reinforced composite via stochastic constitutive modeling, Compos. Struct., vol. 207, pp. 684–700, 2019. DOI: https://doi.org/10.1016/j.compstruct.2018.09.089.
- M.A. Alazwari and S.S. Rao, Modeling and analysis of composite laminates in the presence of uncertainties, Composites Part B., vol. 161, pp. 107–120, 2019. DOI: https://doi.org/10.1016/j.compositesb.2018.10.052.
- S. Naskar, T. Mukhopadhyay, and S. Sriramula, Spatially varying fuzzy multi-scale uncertainty propagation in unidirectional fibre reinforced composites, Compos. Struct., vol. 209, pp. 940–967, 2019. DOI: https://doi.org/10.1016/j.compstruct.2018.09.090.
- S.K. Ha, K.K. Jin, and Y. Huang, Micro-mechanics of failure (MMF) for continuous fiber reinforced composites, J. Compos. Mater., vol. 42, no. 18, pp. 1873–1895, 2008.
- W. Li, H. Cai, C. Li, K. Wang, and L. Fang, Progressive failure of laminated composites with a hole under compressive loading based on micro-mechanics, Adv. Compos. Mater., vol. 23, no. 5–6, pp. 477–490, 2014. DOI: https://doi.org/10.1080/09243046.2014.915105.
- V.G. Kouznetsova, Computational homogenization for the multiscale analysis of multi-phase materials, PhD thesis. Technische Universiteit Eindhoven, 2002.
- P.D. Soden, M.J. Hinton, and A.S. Kaddour, Lamina properties, lay-up configurations and loading conditions for a range of fibre-reinforced composite laminates, Compos. Sci. Technol., vol. 58, no. 7, pp. 1011–1022, 1998. DOI: https://doi.org/10.1016/S0266-3538(98)00078-5.
- T. Mori and K. Tanaka, Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Metall., vol. 21, no. 5, pp. 571–574, 1973. DOI: https://doi.org/10.1016/0001-6160(73)90064-3.
- P.K. Gotsis, C.C. Chamis, and L. Minnetyan, Prediction of composite laminate fracture: Micromechanics and progressive fracture, Compos. Sci. Technol., vol. 58, no. 7, pp. 1137–1149, 1998. DOI: https://doi.org/10.1016/S0266-3538(97)00014-6.
- H. Chai, C. Babcock, and W. Knauss, One dimensional modelling of failure in laminated plates by delamination buckling, Int. J. Solids Struct., vol. 17, no. 11, pp. 1069–1083, 1981. DOI: https://doi.org/10.1016/0020-7683(81)90014-7.
- J. Bonhomme, A. Argelles, M.A. Castrillo, and J. Viña, Computational models for mode I composite fracture failure: the virtual crack closure technique versus, Meccanica, vol. 45, no. 3, pp. 297–304, 2010. DOI: https://doi.org/10.1007/s11012-009-9248-5.
- E.F. Rybicki and M.F. Kanninen, A finite element calculation of stress intensity factors by a modified crack closure integral, Eng. Fract. Mech., vol. 9, no. 4, pp. 931–938, 1977. DOI: https://doi.org/10.1016/0013-7944(77)90013-3.
- E.F. Rybicki, D.W. Schmueser, and J. Fox, An energy release rate approach for stable crack growth in the free-edge delamination problem, J. Compos. Mater., vol. 11, no. 4, pp. 470–487, 1977. DOI: https://doi.org/10.1177/002199837701100409.
- M. Benzeggagh and M. Kenane, Measurement of mixed-mode delamination fracture toughness of unidirectional glass/epoxy composites with mixed mode bending apparatus, Compos. Sci. Technol., vol. 56, no. 4, pp. 439–449, 1996. DOI: https://doi.org/10.1016/0266-3538(96)00005-X.
- E.M. Wu and R.C. Reuter Jr, Crack extension in fiber-glass reinforced plastics. University of Illinois, Champaign, p. 275, 1965.
- J. Reeder, S. Kyongchan, P.B. Chunchu, and D.R. Ambur, Postbuckling and growth of delamination in composite plates subjected to axial compression, 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Denver, Colorado, 2002. DOI: https://doi.org/10.2514/6.2002-1746.
- Z. Chao, X. Xiwu, and Y. Xue, General finite element implement of periodical boundary condition for textile composite materials, Acta Aeronasut. Astronaut. Sin., vol. 34, no. 7, pp. 1636–1645, 2013.