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
L. A. Schmi, Jr. and B. Farshi, "Optimum laminated design for strength and stiffness," Int. J. Numer. Methods Eng.,7, 519–536 (1977).
L. A. Schmit, Jr. and B. Farshi, "Optimum design of laminated fiber composite plates," Int. J. Numer. Methods Eng.,11, 623–640 (1977).
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).
T. R. Tauchert, and S. Adibhatla, "Design of laminated plates for maximum stiffness," J. Compos. Mater.,18, 58–69 (1984).
T. Y. Kam and J. A. Snyman, "Optimal design of laminated composite plates using a global optimization technique," Compos. Struct.,19, 351–370 (1991).
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).
Ine-Wei Liu and Chien-Chang Lin, "Optimum design of composite wing structures by a refined optimality criterion," Compos. Struct.,17, 51–65 (1991).
S. Adali, E. B. Summers, and V. E. Verijenko, "Optimization of laminated cylindrical pressure vessels under strength criterion," Compos. Struct.,25, 305–312 (1993).
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).
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).
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).
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).
J. S. Arora, Introduction to Optimum Design, McGraw-Hill (1989).
G. N. Vanderplaats, Numerical Optimization Techniques for Engineering Design, McGraw-Hill (1984).
J. M. Whitney, "Structural Analysis of Laminated Anisotropic Plates, Technomic Publ. Comp. Inc. (1987).
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).
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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