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Mechanics of Composite Materials

, Volume 54, Issue 6, pp 799–814 | Cite as

Optimization of Extension-Shear Coupled Laminates Based on the Differential Evolution Algorithm

  • D. CuiEmail author
  • D. K. Li
Article
  • 9 Downloads

The buckling strength is an important index in the design process of composite extension-shear coupled laminates. In this paper, the differential evolution algorithm, combined with a penalty function, is adopted to solve extension-shear coupled laminates with a single coupled effect. The extension-shear coupled effect and the buckling strength of the laminates are optimized by single-objective and multiobjective solutions, and the global optimal solution and Pareto front, respectively, are obtained. Results are presented for laminates consisting of 8-14 plies of an IM7/8552-type composite material, and the hygrothermal effect, extension-shear coupled effect, and buckling strength are simulated and verified.

Keywords

composite laminates differential evolutionary algorithm Pareto front buckling strength hygrothermal effect extension-shear coupled effect 

Notes

Acknowledgement

The authors gratefully acknowledge the support of the National Natural Science Foundation of China (Grant No. 11472003).

References

  1. 1.
    N. J. Krone, “Divergence elimination with advanced composites,” AIAA paper, 75-1009 (1974).Google Scholar
  2. 2.
    N. V. Banicuk, “Optimization problems for elastic anisotropick bodies,” Archives of Mechanics, 33, No.3, 347-363 (1981).Google Scholar
  3. 3.
    P. Pedersen, “On optimal orientation of orthotropic materials,” Structural Optimization, 1, No.2, 101-106 (1989).Google Scholar
  4. 4.
    J. Majak and M. Pohlak, “Decomposition method for solving optimal material orientation problems,” Compos. Struct., 92, No.8, 1839-1845 (2010).Google Scholar
  5. 5.
    C. B. York, “On extension-shearing coupled laminates,” Compos. Struct., 120, 472-482 (2015).Google Scholar
  6. 6.
    J. Li and D.K. Li, “Extension-shear coupled laminates with immunity to hygro-thermal distortion,” Compos. Struct., 123, 401-407 (2015).Google Scholar
  7. 7.
    R. M. Jones and J. C. Hennemann, “Effect of prebuckling distortions on buckling of laminated composite circular cylindrical shells,” J. Intellect. Capital, 14, No.2, 110-115 (2013).Google Scholar
  8. 8.
    R. J. Cross, R. A. Haynes, and E. A. Armanios, “Families of hygro-thermally stable asymmetric laminated composites,” J. Compos. Mater., 42, No.7, 697-716 (2008).Google Scholar
  9. 9.
    P. Spellucci, “An SQP method for general nonlinear programs using only equality constrained subproblems,” Mathem. Programming, 82, No. 3, 413-448 (1998).Google Scholar
  10. 10.
    R. A. Haynes, “Hygro-thermally Stable Laminated Composites with Optimal Coupling, Dissertations & Theses, Gradworks, (2010).Google Scholar
  11. 11.
    R. A. Haynes and E. A. Armanios, “New families of hygro-thermally stable composite laminates with optimal extensiontwist coupling,” Aiaa J., 48, No.12, 2954-2961 (2010).Google Scholar
  12. 12.
    R. A. Haynes,and E. A. Armanios, “The challenge of achieving hygro-thermal stability in composite laminates with optimal couplings,” Int. J. Eng. Sci., 59, No. 10, 74-82 (2012).Google Scholar
  13. 13.
    R. Storn and K. Price, “Differential evolution: A simple and efficient adaptive heuristic for global optimization over continuous spaces,” Kluwer Academic Publ., 11, No. 4, 341-359 (1997).Google Scholar
  14. 14.
    R. Storn, K. Price, and J. Lampinen, “Differential evolution: A pratical approach to global optimization,” Springer-Verlag, 141, No. 2, 1-24 (2005).Google Scholar
  15. 15.
    A. K. Qin, V. L. Huang, and P. N. Suganthan, “Differential evolution algorithm with strategy adaptation for global numerical optimization,” IEEE Transactions on Evolutionary Computation, 13, No. 2, 398-417 (2009).Google Scholar
  16. 16.
    Y. H. Zhu, H. Wang, and J. Zhang, “Spacecraft multiple-impulse trajectory optimization using differential evolution algorithm with combined mutation strategies and boundary-handling schemes,” Mathem. Problems in Engineering, 1-13 (2015).Google Scholar
  17. 17.
    Q. Zhang and H. Li, “MOEA/D : A multi-objective evolutionary algorithm based on decomposition,” IEEE Transactions on Evolutionary Computation, 11, No. 6, 731-917 (2007).Google Scholar
  18. 18.
    B. Liu, F. V. Fernandez, Q. Zhang, and M. Pak, “An enhanced MOEA/D-DE and its application to multiobjective analog cell sizing,” Evolutionary Computation, 5, No. 1, 1-7 (2010).Google Scholar
  19. 19.
    J. A. Liseris and K. Rocans, “Optimization of multispan ribbed plywood plate macrostructure for multiople load cases,” Statyba, 19, No. 5, 696-704 (2013).Google Scholar
  20. 20.
    Z. Jing, X Fan, and Q. Sun, “Stacking sequence optimization of composite laminates for maximum buckling load using permutation search algorithm,” Compos. Struct., 121, No. 121, 225-236 (2015).Google Scholar
  21. 21.
    H. Herranen, Q. Pabut, M. Eerme, and J. Majak, Design and testing of sandwich structures with different core materials,” Mater. Sci., 18, No. 1 (2012).Google Scholar
  22. 22.
    C. B. York, “Unified approach to the characterization of coupled composite laminates: hygro-thermally curvature-stable configurations,” Int. J. Struct. Integrity, 2, No. 4:406-436 (2011).Google Scholar
  23. 23.
    H. A. Deveci, L. Aydin, and H. S. Ariem, “Buckling optimization of composite laminates using a hybrid algorithm under Puck failure criterion constraint,” J. Reinf. Plastices Compos., 35, No. 16 (2016).Google Scholar
  24. 24.
    J. A. Snyman, N. Stander, and W. J. Roux, “A dynamic penalty function method for the solution of structural optimization problems,” Appl. Mathem. Modelling, 18, No. 8, 453-460 (1994).Google Scholar
  25. 25.
    G. D. Pillo and L. Grippo, “An exact penalty function method with global convergence properties for nonlinear programming problems,” Mathem. Programming, 36, No. 1, 1-18 (1986).Google Scholar
  26. 26.
    R. M. Jones and J. C. Hennemann, “Effect of prebuckling distortions on buckling of laminated composite circular cylindrical shells,” AIAA J., 1, 110-115 (1980).Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.College of Aerospace Science and EngineeringNational University of Defense TechnologyChangshaChina

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