journal article·2009-09

Optimum stacking sequence design of composite materials Part I: Constant stiffness design

Hossein Ghiasi, Damiano Pasini, Larry Lessard

Composite Structures· Volume 90· Issue 1
Publisher page

Abstract

Designing an optimized composite laminate requires finding the minimum number of layers, and the best fiber orientation and thickness for each layer. To date, several optimization methods have been introduced to solve this challenging problem, which is often non-linear, non-convex, multimodal, and multidimensional, and might be expressed by both discrete and continuous variables. These optimization techniques can be studied in two parts: constant stiffness design and variable stiffness designs. This paper concentrates on the first part, which deals with composite laminates with uniform stacking sequence through their entire structure. The main optimization methods in this class are described, their characteristic features are contrasted, and the potential areas requiring more investigation are highlighted.
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Research context

OpenAlex topics: Composite Structure Analysis and Optimization · Topology Optimization in Engineering · Aeroelasticity and Vibration Control

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (100+)

Show source-provided references
1. Haftka · 1992
2. Gurdal · 1999
3. Design of composite laminates by a Monte Carlo method10.1177/002199839302700705 ↗
4. Optimal design of laminated plates and shells10.1016/0263-8223(94)90024-8 ↗
5. Venkataraman S, Haftka RT. Optimization of composite panels – a review. In: Proceedings of the 14th annual technical conference of the American society of composites, Dayton, OH, September 27–29; 1999.
6. Design of variable – stiffness laminates using lamination parameters10.1016/j.compositesb.2005.12.001 ↗
7. Sandhu RS. Parametric study of optimum fiber orientation for filamentary sheet. Aerospace structures information and analysis center AFFDL/FBR WRAFB, TM-FBC-71-1, Ohio; 1971.
8. Cairo RP. Optimum design of boron epoxy laminates. TR AC-SM-8089, Grumman Aircraft Engineering Corporation, Bethpage, New York; November 1970.
9. Application of fully stressed design procedures to wing and empennage structures10.2514/3.59158 ↗
10. Optimum design of laminated plates under axial compression10.2514/3.61269 ↗
11. Optimization for buckling of composite sandwich plates10.2514/2.7459 ↗
12. Nocedal · 2006
13. Variable metric method for minimization
14. Waddoups ME, McCullers LA, Olsen FO, Ashton JE. Structural synthesis of anisotropic plates. In: AIAA/ASME 11th Struct., Struct. Dyn. and Math Conf., Denver, Colorado; 1970.
15. Minimum weight design of stiffened fibre composite cylinders10.2514/3.59138 ↗
16. A rapidly convergent descent method for minimization10.1093/comjnl/6.2.163 ↗
17. Design optimization of a curved actuator with piezoelectric fibers10.1142/S0217979203019964 ↗
18. An integrated methodology for optimizing the passive damping of composite structures10.1002/pc.750110606 ↗
19. Optimum design of multi-ring composite flywheel rotor using a modified generalized plane strain assumption10.1016/S0020-7403(00)00047-3 ↗
20. Reliability-based optimization of fiber-reinforced polymer composite bridge deck panels10.1061/(ASCE)0733-9445(2006)132:12(1898) ↗
21. A design algorithm for the optimization of laminated composite structures10.1108/02644409910266421 ↗
22. Maximization of buckling load of laminated composite plates with central circular holes using MFD method10.1007/s00158-007-0119-1 ↗
23. Structural synthesis by combining approximation concepts and dual methods10.2514/3.50877 ↗
24. Optimum laminate design for strength and stiffness10.1002/nme.1620070410 ↗
25. Structural optimisation: a new dual method using mixed variables10.1002/nme.1620230307 ↗
26. The method of moving asymptotes – a new method for structural optimization10.1002/nme.1620240207 ↗
27. Svanberg · 1993
28. A variational formulation for multicriteria structural optimization10.1080/03601218308907456 ↗
29. Svanberg K. A globally convergent version of MMA without linesearch. In: Olhoff N, editor. First world congress of structural and multidisciplinary optimization, Rozvany GIN; 1995. p. 9–16.
30. Extended method of moving asymptotes based on second-order information10.1007/BF01743354 ↗
31. New mixed convex approximation method with applications for truss configuration optimization
32. Composite structures optimization using sequential convex programming10.1016/S0965-9978(02)00053-4 ↗
33. Evaluation of optimisation techniques in the design of composite pipelines10.1016/S0924-0136(01)00989-X ↗
34. Cracked composite laminates least prone to delamination10.1098/rspa.1994.0002 ↗
35. Liu B. Two-level optimization of composite wing structures based on panel genetic optimization. PhD thesis, Aerospace Engineering, Mechanics, and Engineering Science, University of Florida; 2001.
36. Optimal design of composite chambercore structures
37. Application of MATHEMATICA to the optimal design of composite shells for improved buckling strength10.1108/02644409810369248 ↗
38. Waddoups ME. Structural airframe application of advanced composite materials-analytical methods. Report AFML-TR-69-101, vol. VI Air Force Materials Laboratory, Wright-Patterson Air Force Base, Ohio; 1969.
39. Verette RM. Stiffness, strength and stability optimization of laminated composites. Report NOR-70-138, Northrop Aircraft Co., Hawthorne, California; 1970.
40. An optimal design of simple symmetric laminates under the first ply failure criterion10.1177/002199838201600407 ↗
41. Weaver PM. Designing composite structures: lay-up selection. In: Proceedings of the institution of mechanical engineers – part G. J Aerospace Eng, vol. 216; 2002. p. 105–16.10.1243/095441002760179807 ↗
42. Simplex method for function minimization10.1093/comjnl/7.4.308 ↗
43. Design of optimal stacking sequence for laminated FRP plates with inplane loading10.1016/0045-7949(94)00321-S ↗
44. A comparison between two optimization methods on the stacking sequence of fiber-reinforced composite laminate10.1016/0045-7949(95)98877-S ↗
45. Effect of dimensionality on the Nelder–Mead simplex method10.1080/10556780512331318290 ↗
46. Foye R. Advanced design concepts for advanced composite air frames. AFML-TR-68-91, Air Force Materials Laboratory, Wright-Patterson Air Force Base, vol. 1–11, Ohio; 1968.
47. Designing laminated composites using random search techniques10.1016/0263-8223(91)90002-G ↗
48. Design of laminate composite layups using genetic algorithms10.1007/BF01312200 ↗
49. Optimization of composite I-sections using fiber angles as design variables10.1016/S0263-8223(01)00010-1 ↗
50. Optimum design of composite laminates for maximum buckling load capacity using simulated annealing10.1016/j.compstruct.2004.09.008 ↗
51. Lombardi M, Haftka RT, Cinquini C. Optimization of composite plates for buckling using simulated annealing. In: Proceedings of the AIAA/ASME/ASCE/AHS/ASC 33rd structures, structural dynamics and materials conference, Part 5; Dallas, Texas; April 13–15, 1992. p. 2552–63.10.2514/6.1992-2313 ↗
52. Application of genetic algorithms to the optimal tailoring of composite materials10.1016/S0266-3538(97)00175-9 ↗
53. Optimal design of press-fitted filament wound composite flywheel rotors10.1016/j.compstruct.2004.10.012 ↗
54. New reflection generator for simulated annealing in mixed-integer/continuous global optimization10.1023/A:1021745728358 ↗
55. Improved global-local simulated annealing formulation for solving non-smooth engineering optimization problems10.1016/j.ijsolstr.2004.07.015 ↗
56. Optimal stacking sequence design of laminate composite structures using tabu embedded simulated annealing10.12989/sem.2007.25.2.239 ↗
57. Multiconstrained optimization of laminated and sandwich plates using evolutionary algorithms and higher-order plate theories10.1016/S0263-8223(02)00132-0 ↗
58. Development of a hybrid meta-heuristic algorithm for combinatorial optimisation and its application for optimal design of laminated composite cylindrical skirt10.1016/j.compstruc.2007.05.033 ↗
59. Optimum design of composite laminates using genetic algorithm10.1016/0961-9526(92)90001-M ↗
60. Stacking sequence optimization of simply supported laminates with stability and strain constraints10.2514/3.11191 ↗
61. Optimization of laminate stacking sequence for buckling load maximization by generic algorithm10.2514/3.11710 ↗
62. Genetic algorithm representations for laminate layups10.1016/0954-1810(93)90020-G ↗
63. Stacking sequence design of composite laminates for maximum strength using genetic algorithms10.1016/S0263-8223(00)00170-7 ↗
64. Genetic algorithm for the design of laminated composite panels
65. Genetic Algorithm with local improvement for composite laminate design+D210.1007/BF01743714 ↗
66. Todoroki A, Haftka RT. Stacking sequence matching by a two stage genetic algorithm with consanguineous initial population. In: Proceedings of the 38th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and materials conference part 2; 1997. p. 1297–302.10.2514/6.1997-1228 ↗
67. Composite laminate design optimization by genetic algorithm with generalized elitist selection10.1016/S0045-7949(00)00125-5 ↗
68. Optimal laminations of thin underwater composite cylindrical vessels10.1016/S0263-8223(02)00162-9 ↗
69. Design of experiments for stacking sequence optimizations with genetic algorithm using response surface approximation10.1016/j.compstruct.2003.09.004 ↗
70. Multi-objective stacking sequence optimization of laminated cylindrical panels using a genetic algorithm and neural networks10.1016/j.compstruct.2006.08.015 ↗
71. Design of dimensionally stable composites by evolutionary optimization10.1016/S0263-8223(98)00009-9 ↗
72. The genetic algorithm applied to stiffness maximization of laminated plates: review and comparison10.1007/BF01203535 ↗
73. Optimal design of a composite leaf spring using genetic algorithms10.1016/S0045-7949(00)00174-7 ↗
74. Optimum design of laminated composite plates with cut-outs using a genetic algorithm10.1016/S0263-8223(98)00072-5 ↗
75. A genetic algorithm with memory for optimal design of laminated sandwich composite panels10.1016/S0263-8223(02)00128-9 ↗
76. A technique for the multiobjective optimization of laminated composite structures using genetic algorithms and finite element analysis10.1016/S0263-8223(03)00098-9 ↗
77. Design optimization of composites using genetic algorithms and failure mechanism based failure criterion10.1016/j.compstruct.2007.05.005 ↗
78. Application of genetic algorithms to stiffness optimization of laminated composite plates with stress-concentrated open holes
79. Layer optimisation for maximum fundamental frequency of laminated composite plates for different edge conditions10.1016/j.compscitech.2007.06.031 ↗
80. Stacking sequence optimization by a genetic algorithm with a new recessive gene like repair strategy10.1016/S1359-8368(97)00030-9 ↗
81. Stacking sequence optimization of laminated composite structures using genetic algorithm with local improvement10.1016/S0263-8223(03)00182-X ↗
82. Nagendra S, Haftka RT, Gurdal Z. Design of blade stiffened composite panels by a genetic algorithm approach. In: Proceedings of the AIAA/ASME/AHS 34th structures, structural dynamics and materials conference AIAA, Washington DC; 1993. p. 2418–36.10.2514/6.1993-1584 ↗
83. Improved genetic algorithm for the design of stiffened composite panels10.1016/0045-7949(95)00160-I ↗
84. Application of genetic algorithm for optimum design of bolted composite lap joints10.1016/j.compstruct.2005.06.009 ↗
85. Genetic algorithms and finite element analysis in optimization of composite structures10.1016/S0263-8223(01)00098-8 ↗
86. Multiobjective optimization of laminated composites using finite element method and genetic algorithm10.1177/0731684405043555 ↗
87. Optimal design of laminated composite structures using coarse-grain parallel genetic algorithms10.1016/0956-0521(94)90023-X ↗
88. Laminated plate design using genetic algorithms and parallel processing10.1016/0956-0521(94)90025-6 ↗
89. Design optimization of laminated composite structures using distributed grid resources10.1016/j.compstruct.2005.09.015 ↗
90. Improved genetic algorithm for minimum thickness composite laminate design10.1016/0961-9526(95)90710-S ↗
91. Improved genetic algorithm for multidisciplinary optimization of composite laminates10.1016/j.compstruc.2008.03.001 ↗
92. Liu B, Haftka RT, Akgun M. Composite wing structural optimization using genetic algorithms and response surfaces. AIAA J 1998; 98: paper 98:4854.10.2514/6.1998-4854 ↗
93. A hierarchical genetic algorithm with age structure for multimodal optimal design of hybrid composites10.1007/s00158-005-0570-9 ↗
94. Optimization of composite laminates with cutouts using genetic algorithm
95. Optimization of laminate stacking sequence for failure load maximization using Tabu search10.1016/S1359-8368(02)00135-X ↗
96. A scatter search algorithm for stacking sequence optimisation of laminate composites10.1016/j.compstruct.2004.09.031 ↗
97. Particle swarm optimization approach for multi-objective composite box-beam design10.1016/j.compstruct.2006.10.008 ↗
98. Strength design of composite beam using gradient and particle swarm optimization10.1016/j.compstruct.2006.09.007 ↗
99. Probabilistic optimal design of laminates using improved particle swarm optimization10.1080/03052150802010615 ↗
100. Optimization of laminate stacking sequence for maximum buckling load using the ant colony optimization (ACO) metaheuristic10.1016/j.compositesa.2007.10.011 ↗