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Cooling rate influence on the warp of a CFRP asymmetric laminated beam

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Abstract

This paper describes the age-related warp of carbon fiber reinforced plastic (CFRP) asymmetric laminated beams due to the viscoelasticity, anisotropy, and nonhomogeneity of CFRP laminates. Asymmetric orthogonally laminated CFRP beams held at a high curing temperature were cooled at various rates with and without constraints against warping during cooling. Furthermore, the warping of CFRP beams with the constraint lifted after cooling was measured during the aging processes. The age-related warping generated under various conditions was predicted using the viscoelastic and thermal properties of the CFRP laminates. The results were compared with measured data. The results were interpreted as follows. The age-related warping of CFRP beams depends strongly on the process conditions of the cooling rate and constraint, and the thermal and physical age-related shrinkage and viscoelasticity in the transverse direction of unidirectional CFRP affect the age-related warp of CFRP beams. Thermoviscoelastic analysis with physical age-related shrinkage is effective for this prediction.

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References

  • Al-Dhaheri, M., Khan, K.A., Umer, R., Liempt, F.V., Cantwell, W.J.: Process-induced deformation in U-shaped honeycomb aerospace composite structures. Compos. Struct. 248, 112503 (2020a)

    Article  Google Scholar 

  • Al-Dhaheri, M., Khan, K.A., Umer, R., Liempt, F.V., Cantwell, W.J.: Process induced deformations in composite sandwich panels using an in-homogeneous layup design. Composites, Part A, Appl. Sci. Manuf. 137, 106020 (2020b)

    Article  Google Scholar 

  • Arao, Y., Koyanagi, J., Utsunomiya, S., Kawada, H.: Time-dependent out-of-plane deformation of UD-CFRP in humid environment. Compos. Sci. Technol. 69, 1720–1725 (2009a)

    Article  Google Scholar 

  • Arao, Y., Koyanagi, J., Utsunomiya, S., Takeda, S., Kawada, H.: Analysis of time-dependent deformation of a CFRP mirror under hot and humid conditions. Mech. Time-Depend. Mater. 13, 183–197 (2009b)

    Article  Google Scholar 

  • Arao, Y., Koyanagi, J., Utsunomiya, S., Kawada, H.: Effect of ply angle misalignment on out-of-plane deformation of symmetrical cross-ply CFRP laminates: accuracy of the ply angle alignment. Compos. Struct. 93, 1225–1230 (2011)

    Article  Google Scholar 

  • Arao, Y., Fukui, T., Niwa, T., Kawada, H.: Dimensional stability of epoxy-based and cyanate-based carbon fiber-reinforced plastics. J. Compos. Mater. 49, 1483–1492 (2015)

    Article  Google Scholar 

  • Christensen, R.M.: Theory of Viscoelasticity, 2nd edn. Dover, Mineola, New York (1982)

    Google Scholar 

  • Cowley, K.D., Beaumont, P.W.R.: The measurement and prediction of residual stresses in carbon-fiber/polymer composites. Compos. Sci. Technol. 57, 1445–1455 (1997)

    Article  Google Scholar 

  • Gamby, D., Lafarie-Frenot, M.C., Vinet, A., Guedra-Degeorge, D.: The prediction of the long-term mechanical behavior of aeronautical laminates. Compos. Sci. Technol. 61, 439–443 (2001)

    Article  Google Scholar 

  • Johnston, A., Vaziri, R., Poursartip, A.: A plane strain model for process-induced deformation of laminated composite structures. J. Compos. Mater. 35, 1435–1469 (2001)

    Article  Google Scholar 

  • Nakada, M., Miyano, Y., Cai, H., Kasamori, M.: Prediction of long-term viscoelastic behavior of amorphous resin based on the time–temperature superposition principle. Mech. Time-Depend. Mater. 15, 309–316 (2011)

    Article  Google Scholar 

  • Steeves, J., Pellegrino, S.: Post-cure shape errors of ultra-thin symmetric CFRP laminates: effect of ply-level imperfections. Compos. Struct. 164, 237–247 (2017)

    Article  Google Scholar 

  • Takagaki, K., Minakuchi, S., Takeda, N.: Process-induced strain and distortion in curved composites. Part II: Parametric study and application. Composites, Part A, Appl. Sci. Manuf. 103, 219–229 (2017a)

    Article  Google Scholar 

  • Takagaki, K., Minakuchi, S., Takeda, N.: Process-induced strain and distortion in curved composites. Part I: Development of fiber-optic strain monitoring technique and analytical methods. Composites, Part A, Appl. Sci. Manuf. 103, 236–251 (2017b)

    Article  Google Scholar 

  • Yi, S., Hilton, H.H., Ahmad, M.F.: Cure-cycle simulations of composites with temperature- and cure-dependent anisotropic viscoelastic properties and stochastic delaminations. Mech. Compos. Mater. Struct. 5, 81–101 (1998)

    Article  Google Scholar 

  • Yi, S., Chian, K.S., Hilton, H.H.: Nonlinear viscoelastic finite element analyses of thermosetting polymeric composites during cool-down after curing. J. Compos. Mater. 36, 3–17 (2002)

    Article  Google Scholar 

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Correspondence to Masayuki Nakada.

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Nakada, M., Miyano, Y., Nakagawa, H. et al. Cooling rate influence on the warp of a CFRP asymmetric laminated beam. Mech Time-Depend Mater 26, 397–407 (2022). https://doi.org/10.1007/s11043-021-09493-1

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  • DOI: https://doi.org/10.1007/s11043-021-09493-1

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