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Optimum stacking sequence of composite laminates for maximum strength

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Abstract

A method is presented for maximum strength optimum design of symmetric composite laminates subjected to in-plane and transverse loadings. The finite element method based on shear deformation theory is used for the analysis of composite laminates. Ply orientation angles are chosen as design variables. The quadratic failure criterion which is meant to predict fracture, is used as an object function for optimum stacking sequence design of a laminated plate. The Broydon-Fletcher-Goldfarb-Shanno optimization technique is employed to solve the optimization problem effectively. Numerical results are given for various loading conditions, boundary conditions, and aspect ratios. The results show that the quadratic failure criterion such as Tsai-Hill theory is effective for the optimum structural design of composite laminates.

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References

  1. L. A. Schmi, Jr. and B. Farshi, "Optimum laminated design for strength and stiffness," Int. J. Numer. Methods Eng.,7, 519–536 (1977).

    Google Scholar 

  2. L. A. Schmit, Jr. and B. Farshi, "Optimum design of laminated fiber composite plates," Int. J. Numer. Methods Eng.,11, 623–640 (1977).

    Google Scholar 

  3. H. Fukunaga and G. N. Vanderplaats, "Strength optimization of laminated composites with respect to layer thickness and/or layer orientation angle," Comput. Struct.,40, 1429–1439 (1991).

    Google Scholar 

  4. T. R. Tauchert, and S. Adibhatla, "Design of laminated plates for maximum stiffness," J. Compos. Mater.,18, 58–69 (1984).

    Google Scholar 

  5. T. Y. Kam and J. A. Snyman, "Optimal design of laminated composite plates using a global optimization technique," Compos. Struct.,19, 351–370 (1991).

    Google Scholar 

  6. H. Fukunaga and H. Sekine, "Optimum design of composite structures for shape, layer angle and layer thickness distributions," J. Compos. Mater.27, No. 15, 1479–1492 (1993).

    Google Scholar 

  7. Ine-Wei Liu and Chien-Chang Lin, "Optimum design of composite wing structures by a refined optimality criterion," Compos. Struct.,17, 51–65 (1991).

    Google Scholar 

  8. S. Adali, E. B. Summers, and V. E. Verijenko, "Optimization of laminated cylindrical pressure vessels under strength criterion," Compos. Struct.,25, 305–312 (1993).

    Google Scholar 

  9. R. E. Rowlands, "Strength (failure) theories and their experimental correlation," in: Failure Mechanics of Composites, G. C. Sih and A. M. Sudra (ed.), Elsevier Sci. Publ. B. V. (1985).

  10. C. C. Chao, S. L. Koh, and C. T. Sun, "Optimization of buckling and yield strengths of laminated composites," AIAA J.,13, 1131–1132 (1975).

    Google Scholar 

  11. D. L. Graesser, Z. B. Zabinsky, M. E. Turtle, and G. I. Kirn, "Optimal design of a composite structure," Compos. Struct.,24, 273–281 (1993).

    Google Scholar 

  12. C. W. Kim, W. Hwang, H. C. Park, and K. S. Han, "An optimal stacking sequence design of laminated composite cylinder," in: ICCM-9, Madrid, Spain (1993).

  13. J. S. Arora, Introduction to Optimum Design, McGraw-Hill (1989).

  14. G. N. Vanderplaats, Numerical Optimization Techniques for Engineering Design, McGraw-Hill (1984).

  15. J. M. Whitney, "Structural Analysis of Laminated Anisotropic Plates, Technomic Publ. Comp. Inc. (1987).

  16. J. N. Reddy, "A penalty plate-bending element for the analysis of aminated anisotropic composite plates," Int. J. Numer. Methods Eng.,15, 1187–1206 (1980).

    Google Scholar 

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Published in Mekhanika Kompozitnykh Materialov, Vol. 31, No. 3, pp. 393–404, May–June, 1995.

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Song, S.R., Hwang, W., Park, H.C. et al. Optimum stacking sequence of composite laminates for maximum strength. Mech Compos Mater 31, 290–300 (1995). https://doi.org/10.1007/BF00615644

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  • DOI: https://doi.org/10.1007/BF00615644

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