A Micro–macro Damage Mechanics-based Model for Fatigue Damage and Life Prediction of Fiber-reinforced Composite Laminates
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Abstract
Abstract A multidirectional damage model was proposed to predict fatigue damage evolution and final failure of composite laminates in this paper. A damage characterization model for composite laminates was established to characterize the influence of three main damage modes on the damaged mechanical behavior of composite laminates at micro–macro level. The damage evolution model was also established based on damage mechanics to predict the evolution of the three damage modes and stiffness degradation of composite laminates by means of damage characterization model. Then, a relationship between residual stiffness and residual strength was introduced, from which the residual strength could be obtained according to the predicted residual stiffness. When the residual strength is calculated to decrease to the maximum applied stress of fatigue loading after several cycles, the composite laminate was assumed to fail, and accordingly the fatigue life could be obtained. In order to verify the model, the predicted stiffness degradation and fatigue life of two cross-ply laminates under fatigue loadings with different stress levels were compared to experimental results. The standard derivation of stiffness degradation and average errors of fatigue between prediction results and experimental results were less than 0.1 and 8.26%, respectively, indicating the effectiveness and reliability of proposed model.
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Research context
OpenAlex topics: Mechanical Behavior of Composites · Fatigue and fracture mechanics · Composite Structure Analysis and Optimization
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References (46)
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1. Feng, Y., Ma, B., Zhang, T., Zhang, T., He, Y., Jiao, S.: Reliability Fatigue Life and A New S-N Curve Model of Composite Laminates Under Tensile-Tensile Fatigue Load. Appl. Compos. Mater. 28, 129–148 (2021). https://doi.org/10.1007/s10443-020-09847-x10.1007/s10443-020-09847-x ↗
2. Talreja, R.: Physical modelling of failure in composites. Philos. Trans. R. Soc. A. Math. Phys. Eng. Sci. 374 (2016). https://doi.org/10.1098/rsta.2015.028010.1098/rsta.2015.0280 ↗
3. Alam, P., Mamalis, D., Robert, C., Floreani, C., Ó Brádaigh, C.M.: The fatigue of carbon fibre reinforced plastics - A review. Compos. B. Eng. 166, 555–579 (2019). https://doi.org/10.1016/j.compositesb.2019.02.01610.1016/j.compositesb.2019.02.016 ↗
4. Khan, A.I., Venkataraman, S., Miller, I.: Fatigue failure predictions of laminated composites using mechanical properties degradation and continuum damage models. In: AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2018. American Institute of Aeronautics and Astronautics Inc, AIAA (2018)10.2514/6.2018-1642 ↗
5. D’Amore, A., Giorgio, M., Grassia, L.: Modeling the residual strength of carbon fiber reinforced composites subjected to cyclic loading. Int. J. Fatigue. 78, 31–37 (2015). https://doi.org/10.1016/j.ijfatigue.2015.03.01210.1016/j.ijfatigue.2015.03.012 ↗
6. Stojković, N., Folić, R., Pasternak, H.: Mathematical model for the prediction of strength degradation of composites subjected to constant amplitude fatigue. Int. J. Fatigue. 103, 478–487 (2017). https://doi.org/10.1016/j.ijfatigue.2017.06.03210.1016/j.ijfatigue.2017.06.032 ↗
7. Califano, A., Grassia, L., D’Amore, A.: Fatigue of Composite Materials Subjected to Variable Loadings. J. Mater. Eng. Perform. 28, 6538–6543 (2019). https://doi.org/10.1007/s11665-019-04373-910.1007/s11665-019-04373-9 ↗
8. Califano, A., Dell’Aversano, R.: Theoretical approach to the study of fatigue of composites under spectrum loading. In: AIP Conference Proceedings. American Institute of Physics Inc. (2018)10.1063/1.5046005 ↗
9. Califano, A., D’Amore, A.: Analysis of a phenomenological model for fatigue of composite materials. In: AIP Conference Proceedings. American Institute of Physics Inc. (2019)10.1063/1.5140317 ↗
10. Li, P., Yao, W., Chen, F., Zong, J.: Residual stiffness characterization of FRP laminates under random block spectrum. Polym. Test. 95 (2021). https://doi.org/10.1016/j.polymertesting.2021.10710110.1016/j.polymertesting.2021.107101 ↗
11. Shiri, S., Yazdani, M., Pourgol-Mohammad, M.: A fatigue damage accumulation model based on stiffness degradation of composite materials. Mater. Des. 88, 1290–1295 (2015). https://doi.org/10.1016/j.matdes.2015.09.11410.1016/j.matdes.2015.09.114 ↗
12. Liu, H., Zhang, Z., Jia, H., Liu, Y., Leng, J.: A modified composite fatigue damage model considering stiffness evolution for wind turbine blades. Compos. Struct. 233 (2020). https://doi.org/10.1016/j.compstruct.2019.11173610.1016/j.compstruct.2019.111736 ↗
13. Aoki, R., Higuchi, R., Yokozeki, T.: Fatigue simulation for progressive damage in CFRP laminates using intra-laminar and inter-laminar fatigue damage models. Int. J. Fatigue. 143 (2021). https://doi.org/10.1016/j.ijfatigue.2020.10601510.1016/j.ijfatigue.2020.106015 ↗
14. Llobet, J., Maimí, P., Essa, Y., Martin de la Escalera, F.: A continuum damage model for composite laminates: Part III - Fatigue. Mech. Mater. 153 (2021). https://doi.org/10.1016/j.mechmat.2020.10365910.1016/j.mechmat.2020.103659 ↗
15. Sørensen, B.F., Goutianos, S.: Micromechanical model for prediction of the fatigue limit for unidirectional fibre composites. Mech. Mater. 131, 169–187 (2019). https://doi.org/10.1016/j.mechmat.2019.01.02310.1016/j.mechmat.2019.01.023 ↗
16. D’Amore, A., Califano, A., Grassia, L.: Modelling the loading rate effects on the fatigue response of composite materials under constant and variable frequency loadings. Int. J. Fatigue. 150 (2021). https://doi.org/10.1016/j.ijfatigue.2021.10633810.1016/j.ijfatigue.2021.106338 ↗
17. Adam, T.J., Horst, P.: Fatigue damage and fatigue limits of a GFRP angle-ply laminate tested under very high cycle fatigue loading. Int. J. Fatigue. 99, 202–214 (2017). https://doi.org/10.1016/j.ijfatigue.2017.01.04510.1016/j.ijfatigue.2017.01.045 ↗
18. Reis, P.N.B., Ferreira, J.A.M., Costa, J.D.M., Richardson, M.O.W.: Fatigue life evaluation for carbon/epoxy laminate composites under constant and variable block loading. Compos. Sci. Technol. 69, 154–160 (2009). https://doi.org/10.1016/j.compscitech.2008.09.04310.1016/j.compscitech.2008.09.043 ↗
19. Shen, H., Yao, W., Qi, W., Zong, J.: Experimental investigation on damage evolution in cross-ply laminates subjected to quasi-static and fatigue loading. Compos. B. Eng. 120 (2017). https://doi.org/10.1016/j.compositesb.2017.02.03310.1016/j.compositesb.2017.02.033 ↗
20. Krishnan, A., Conway, A., Xiao, X.: Assessment of a Progressive Fatigue Damage Model for AS4/3501–6 Carbon Fiber/Epoxy Composites Using Digital Image Correlation. Appl. Compos. Mater. 26, 1227–1246 (2019). https://doi.org/10.1007/s10443-019-09777-310.1007/s10443-019-09777-3 ↗
21. Gowid, S., Mahdi, E., Renno, J., Sassi, S., Kharmanda, G., Shokry, A.: Experimental investigation of the crashworthiness performance of fiber and fiber steel-reinforced composites tubes. Compos. Struct. 251 (2020)10.1016/j.compstruct.2020.112655 ↗
22. Khosravani, M.R., Weinberg, K.: Experimental investigations of the environmental effects on stability and integrity of composite sandwich T-joints. Materwiss. Werksttech. 48, 753–759 (2017). https://doi.org/10.1002/mawe.20160074710.1002/mawe.201600747 ↗
23. Talreja, R., Varna, J.: Modeling damage, fatigue and failure of composite materials. Elsevier (2015)
24. Katerelos, D.T.G., Varna, J., Galiotis, C.: Energy criterion for modelling damage evolution in cross-ply composite laminates. Compos. Sci. Technol. 68, 2318–2324 (2008). https://doi.org/10.1016/j.compscitech.2007.09.01410.1016/j.compscitech.2007.09.014 ↗
25. Taketa, I., Takehara, T., Gorbatikh, L., Lomov, S. V., Verpoest, I.: Strength analysis of unidirectional composites to explain fiber bundle splitting. Adv. Compos. Mater. 29, 351–362 (2020). https://doi.org/10.1080/09243046.2019.170446810.1080/09243046.2019.1704468 ↗
26. Wu, T., Yao, W., Xu, C.: A VHCF life prediction method based on surface crack density for FRP. Int. J. Fatigue 114, 51–56 (2018). https://doi.org/10.1016/j.ijfatigue.2018.04.02810.1016/j.ijfatigue.2018.04.028 ↗
27. Qi, W., Yao, W., Shen, H.: A multidirectional damage model for fiber-reinforced plastic laminates under static load. J. Compos. Mater. 54 (2020). https://doi.org/10.1177/002199831985414810.1177/0021998319854148 ↗
28. Qi, W., Yao, W., Shen, H.: A bi-directional damage model for matrix cracking evolution in composite laminates under fatigue loadings. Int. J. Fatigue. 134 (2020). https://doi.org/10.1016/j.ijfatigue.2019.10541710.1016/j.ijfatigue.2019.105417 ↗
29. Ladeveze, P., le Dantec, E.: Damage modelling of the elementary ply for laminated composites. Compos. Sci. Technol. 43, 257–267 (1992)10.1016/0266-3538(92)90097-M ↗
30. Huang, B., Wang, J., Kim, H.S.: A stress function based model for transient thermal stresses of composite laminates in various time-variant thermal environments. Int. J. Mech Sci. 180 (2020). https://doi.org/10.1016/j.ijmecsci.2020.10565110.1016/j.ijmecsci.2020.105651 ↗
31. Carraro, P.A., Maragoni, L., Quaresimin, M.: Characterisation and analysis of transverse crack-induced delamination in cross-ply composite laminates under fatigue loadings. Int. J. Fatigue. 129 (2019). https://doi.org/10.1016/j.ijfatigue.2019.10521710.1016/j.ijfatigue.2019.105217 ↗
32. Berthelot, J.M.: Transverse cracking and delamination in cross-ply glass-fiber and carbon-fiber reinforced plastic laminates: Static and fatigue loading. Appl. Mech. Rev. 56, 111–147 (2003). https://doi.org/10.1115/1.151955710.1115/1.1519557 ↗
33. Lagunegrand, L., Lorriot, T., Harry, R., Wargnier, H., Quenisset, J.M.: Initiation of free-edge delamination in composite laminates. Compos. Sci. Technol. 66, 1315–1327 (2006). https://doi.org/10.1016/j.compscitech.2005.10.01010.1016/j.compscitech.2005.10.010 ↗
34. Carraro, P.A., Maragoni, L., Quaresimin, M.: Stiffness degradation of symmetric laminates with off-axis cracks and delamination: an analytical model. Int. J. Solids Struct. 213, 50–62 (2021). https://doi.org/10.1016/j.ijsolstr.2020.12.01310.1016/j.ijsolstr.2020.12.013 ↗
35. Saito, K., Jespersen, K.M., Ota, H., Wada, K., Hosoi, A., Kawada, H.: Fatigue delamination growth characterization of a directly bonded carbon-fiber-reinforced thermoplastic laminates and aluminum alloys with surface nanostructure using DCB test. J. Compos. Mater. 55, 3131–3140 (2021). https://doi.org/10.1177/0021998321100928210.1177/00219983211009282 ↗
36. Jensen, S.M., Bak, B.L.V., Bender, J.J., Lindgaard, E.: Transition-behaviours in fatigue-driven delamination of GFRP laminates following step changes in block amplitude loading. Int. J. Fatigue. 144 (2021). https://doi.org/10.1016/j.ijfatigue.2020.10604510.1016/j.ijfatigue.2020.106045 ↗
37. Mohammadi, B., Fazlali, B., Salimi-Majd, D.: Development of a continuum damage model for fatigue life prediction of laminated composites. Compos. A. Appl. Sci. Manuf. 93, 163–176 (2017). https://doi.org/10.1016/j.compositesa.2016.11.02110.1016/j.compositesa.2016.11.021 ↗
38. Liu, Y., Mahadevan, S.: Probabilistic fatigue life prediction of multidirectional composite laminates. Compos. Struct. 69, 11–19 (2005). https://doi.org/10.1016/j.compstruct.2004.04.01210.1016/j.compstruct.2004.04.012 ↗
39. Lian, W., Yao, W.: Fatigue life prediction of composite laminates by FEA simulation method. Int. J. Fatigue. 32, 123–133 (2010). https://doi.org/10.1016/j.ijfatigue.2009.01.01510.1016/j.ijfatigue.2009.01.015 ↗
40. Okayasu, M., Yamazaki, T., Ota, K., Ogi, K., Shiraishi, T.: Mechanical properties and failure characteristics of a recycled CFRP under tensile and cyclic loading. Int. J. Fatigue. 55, 257–267 (2013). https://doi.org/10.1016/j.ijfatigue.2013.07.00510.1016/j.ijfatigue.2013.07.005 ↗
41. Quaresimin, M., Carraro, P.A., Mikkelsen, L.P., Lucato, N., Vivian, L., Brøndsted, P., Sørensen, B.F., Varna, J., Talreja, R.: Damage evolution under cyclic multiaxial stress state: A comparative analysis between glass/epoxy laminates and tubes. Compos. B Eng. 61, 282–290 (2014). https://doi.org/10.1016/j.compositesb.2014.01.05610.1016/j.compositesb.2014.01.056 ↗
42. Tohgo, K., Nakagawa, S., Kageyama, K.: Fatigue behavior of CFRP cross-ply laminates under on-axis and off-axis cyclic loading. Int. J. Fatigue. 28, 1254–1262 (2006). https://doi.org/10.1016/j.ijfatigue.2006.02.01110.1016/j.ijfatigue.2006.02.011 ↗
43. Wu, F., Yao, W.X.: A fatigue damage model of composite materials. Int. J. Fatigue. 32, 134–138 (2010). https://doi.org/10.1016/j.ijfatigue.2009.02.02710.1016/j.ijfatigue.2009.02.027 ↗
44. Vasiukov, D., Panier, S., Hachemi, A.: Direct method for life prediction of fibre reinforced polymer composites based on kinematic of damage potential. Int. J. Fatigue. 70, 289–296 (2015). https://doi.org/10.1016/j.ijfatigue.2014.10.00410.1016/j.ijfatigue.2014.10.004 ↗
45. Talreja, R., Singh, C.V.: Damage and failure of composite materials. Cambridge University Press (2012)10.1017/CBO9781139016063 ↗
46. Carvelli, V., Okubo, K., Fujii, T.: Fatigue damage characterization and percolation in plain-weave carbon fiber-epoxy composites. Compos. B. Eng. 224 (2021). https://doi.org/10.1016/j.compositesb.2021.10922510.1016/j.compositesb.2021.109225 ↗