Skip to main content
SpringerLink
Log in

Curvature-Constrained Layup Optimization to Improve Buckling Resistance of Composite Laminates

  • Published:
Mechanics of Solids Aims and scope Submit manuscript

Abstract

To improve the buckling resistance, a variable stiffness (VS) layup optimization strategy is proposed by considering the constraints of manufacturing process. By considering the curvature constraints of fiber-tow paths during the fabrication of VS laminates, the constrained Kriging model is bult to relate the design variable of layup configuration with the buckling resistance. The first eigenvalue obtained from the eigenvalue buckling analyzing is set as the objective function, and used to establish the constrained Kriging model. With the help of the multi-island genetic algorithm (MIGA), the global optimal solution is searched, and the influence of VS layups on buckling of composite laminates is analyzed. Taking a uniaxial compressive buckling case for example, an optimized layup configuration has been obtained. By investigating the effectiveness of the optimization strategies, buckling characteristics of four laminates with different layup configurations have been simulated by nonlinear buckling analyzing, and have been proved by the compressive buckling tests. By comparing the buckling responses of the analytical model and the experimental results, it can be found the laminate with optimized layup configuration has a much better buckling resistance ability. Compared with traditional constant stiffness (CS) laminate, the buckling stiffness and ultimate load have been improved by 41.1% and 113.58%, respectively.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.

Similar content being viewed by others

REFERENCES

  1. P. Wang, X. Huang, Z. Wang, et al., “Buckling and post-buckling behaviors of a variable stiffness composite laminated wing box structure,” Appl. Compos. Mater. 25 (2), 449–467 (2018). https://doi.org/10.1007/s10443-017-9643-3

    Article  ADS  Google Scholar 

  2. J. Zhong, C. Zhao, J. Ren, et al., “A constitutive model for carbon fibre reinforced epoxy resin laminate under compression load: considering the initial non-linearity,” Appl. Compos. Mater. 29 (2), 629–649 (2022). https://doi.org/10.1007/s10443-021-09979-8

    Article  ADS  Google Scholar 

  3. X. Zhang, W. Dai, B. Cai, et al., “Numerical and experimental investigation of bearing capacity for compressed stiffened composite panel with different stringer section geometries,” Appl. Compos. Mater. 29, 1507–1535 (2022). https://doi.org/10.1007/s10443-022-10030-7

    Article  ADS  Google Scholar 

  4. D. Liu, R. Bai, R. Wang, et al., “Experimental study on compressive buckling behavior of J-stiffened composite panels,” Opt. Lasers Eng. 120, 31–39 https://doi.org/10.1016/j.optlaseng.2019.02.014

  5. Y. B. SudhirSastry, P. R. Budarapu, N. Madhavi, et al, “Buckling analysis of thin wall stiffened composite panels,” Comput. Mater. Sci. 96, 459–471 https://doi.org/10.1016/j.commatsci.2014.06.007

  6. P. Ribeiro, H. Akhavan, A. Teter, et al., “A review on the mechanical behaviour of curvilinear fibre composite laminated panels,” J. Compos. Mater. 48 (22), 2761–2777 (2013). https://doi.org/10.1177/0021998313502066

    Article  Google Scholar 

  7. X. Niu, T. Yang, Y. Du, et al., “Tensile properties of variable stiffness composite laminates with circular holes based on potential flow functions,” Arch. Appl. Mech. 86 (9), 1551–1563 (2016). https://doi.org/10.1007/s00419-016-1126-8

    Article  ADS  Google Scholar 

  8. J. Fazilati and V. Khalafi, “Effects of embedded perforation geometry on the free vibration of tow-steered variable stiffness composite laminated panels,” Thin Wall Struct. 144, 106287 (2019). https://doi.org/10.1016/j.tws.2019.106287

  9. Z. Cao, M. Dong, Q. Shi, et al., “Research on buckling characteristics and placement processability of variable stiffness open-hole laminates,” Composites Part C: Open Access 7, 100233 (2022). https://doi.org/10.1016/j.jcomc.2022.100233

  10. A. Alhajahmad and C. Mittelstedt, “Design tailoring of curvilinearly grid-stiffened variable-stiffness composite cylindrically curved panels for maximum buckling capacity,” Thin Wall Struct. 157, 107132 (2020). https://doi.org/10.1016/j.tws.2020.107132

  11. G. Raju, Z. Wu, B. C. Kim, and P. M. Weaver, “Prebuckling and buckling analysis of variable angle tow plates with general boundary conditions,” Compos. Struct. 94 (9), 2961–2970 (2012). https://doi.org/10.1016/j.compstruct.2012.04.002

  12. A. Milazzo and V. Oliveri, “Investigation of buckling characteristics of cracked variable stiffness composite plates by an eXtended Ritz approach,” Thin Wall Struct. 163, (2021). https://doi.org/10.1016/j.tws.2021.107750

  13. S. W. Yang, Y. X. Hao, W. Zhang, et al, “Buckling and free vibration of eccentric rotating CFRP cylindrical shell base on FSDT,” Appl. Math. Modell. 95, 593–611 (2021).  https://doi.org/10.1016/j.tws.2020.107382

    Article  MathSciNet  MATH  Google Scholar 

  14. S. Moradi, A. R. Vosoughi, and N. Anjabin, “Maximum buckling load of stiffened laminated composite panel by an improved hybrid PSO-GA optimization technique,” Thin Wall Struct. 160, (2021). https://doi.org/10.1016/j.tws.2020.107382

  15. Z. Cao, G. Lin, Q. Shi, and Q. Cao, “Optimization analysis of NURBS curved variable stiffness laminates with a hole,” Mater. Today Commun. 31, 103364 (2022). https://doi.org/10.1016/j.mtcomm.2022.103364

  16. M. A. Luersen, C. A. Steeves, and P.B. Nair, “Curved fibre paths optimization of a composite cylindrical shell via Kriging-based approach,” J. Compos. Mater. 49 (29), 3583–3597 (2015). https://doi.org/10.1177/0021998314568168

    Article  ADS  Google Scholar 

  17. B. Keshtegar, T. Nguyen-Thoi, T. T. Truong, and S. P. Zhu, “Optimization of buckling load for laminated composite plates using adaptive Kriging-improved PSO: A novel hybrid intelligent method,” Def. Technol. 17(1), 85–99 (2021). https://doi.org/10.1016/j.dt.2020.02.020

    Article  Google Scholar 

  18. Z. Gurdal and R. Olmedo, “In-plane response of laminates with spatially varying fibre orientations-variable stiffness concept,” AIAA J. 31 (4), 751–758 (1993). https://doi.org/10.2514/3.11613

    Article  ADS  MATH  Google Scholar 

  19. R. M. J. Groh and P. M. Weaver, “Buckling analysis of variable angle tow, variable thickness panels with transverse shear effects,” Compos. Struct. 107, 482–493 (2014). https://doi.org/10.1016/j.compstruct.2013.08.025

    Article  Google Scholar 

  20. Y. Tie, Y. Hou, C. Li, et al., “An insight into the low-velocity impact behavior of patch-repaired CFRP laminates using numerical and experimental approaches,” Compos. Struct. 190, 179–188 (2018). https://doi.org/10.1016/j.compstruct.2018.01.075

    Article  Google Scholar 

  21. F. E. C. Marques, A. F. S. da Mota, and M. A. R.Loja, “Variable stiffness composites: optimal design studies,” J. Compos. Sci. 4 (2), 80 (2020). https://doi.org/10.3390/jcs4020080

    Article  Google Scholar 

  22. F. Fuerle and J. Sienz, “Decomposed surrogate based optimization of carbon-fibre bicycle frames using Optimum Latin Hypercubes for constrained design spaces,” Comput. Struct. 119, 48–59 (2013). https://doi.org/10.1016/j.compstruc.2012.11.014

  23. W. W. Zhang, H. Qi, Z. Q. Yu, et al., “Optimization configuration of selective solar absorber using multi-island genetic algorithm,” Sol. Energy 224, 947–955 (2021). https://doi.org/10.1016/j.solener.2021.06.059

  24. S. Chen, T. Shi, D. Wang, et al., “Multi-objective optimization of the vehicle ride comfort based on Kriging approximate model and NSGA-II,” J. Mech. Sci. Technol. 29 (3), 1007–1018 (2015). https://doi.org/10.1007/s12206-015-0215-x

    Article  Google Scholar 

Download references

Funding

This study was supported by National Natural Science Foundation of PR China grant no. 52175110.

Author information

Authors and Affiliations

  1. Tiangong University, 300387, Tianjin, China

    X. J. Niu

  2. Key Laboratory of Advanced Mechatronics Equipment Technology, 300387, Tianjin, China

    X. J. Niu & X. Zhang

Authors
  1. X. J. Niu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. X. Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to X. J. Niu or X. Zhang.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Niu, X., Zhang, X. Curvature-Constrained Layup Optimization to Improve Buckling Resistance of Composite Laminates. Mech. Solids 57, 1500–1511 (2022). https://doi.org/10.3103/S0025654422060103

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0025654422060103

Keywords

Search

Navigation