Optimum stacking sequence design of composite materials Part II: Variable stiffness design

Composite Structures

Volumn 93, Issue 1, 2010, Pages 1-13

  Ghiasi, Hossein ^a   Fayazbakhsh, Kazem ^a   Pasini, Damiano ^a   Lessard, Larry ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Composite materials; Fiber path; Optimization; Stacking sequence design; Variable stiffness

Indexed keywords

COMPOSITE LAMINATE; CURVILINEAR PATH; DESIGN OF COMPOSITES; FIBER PATH; MATRIX; OPTIMIZATION ALGORITHMS; STACKING SEQUENCE DESIGN; VARIABLE STIFFNESS;

ALGORITHMS; COMPOSITE MATERIALS; COMPOSITE MICROMECHANICS; FIBERS; OPTIMIZATION; PAPER LAMINATES; STIFFNESS;

DESIGN;

ALGORITHMS; COMPOSITES; DESIGN; FIBERS; OPTIMIZATION; PAPER LAMINATES; STIFFNESS;

COMPOSITE PROPERTY; DESIGN; FIBER REINFORCED COMPOSITE; LAMINATE; MATHEMATICAL ANALYSIS; OPTIMIZATION; STIFFNESS;

EID: 77955274507     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2010.06.001     Document Type: Review

References (118)

1. Abdalla M.M., Gürdal Z., Abdelal G.F. Thermomechanical response of variable stiffness composite panels. Therm Stresses 2009, 32:187-208.
2. Abdalla M.M., Gürdal Setoodeh Design of variable stiffness composite panels for maximum fundamental frequency using lamination parameters. Compos Struct 2007, 81:283-291.
3. Adams D.B., Watson L.T., Gürdal Z. Optimization and blending of composite laminates using genetic algorithm with migration. Mech Adv Mater Strucut 2003, 10:183-203.
4. Adams D.B., Watson L.T., Gürdal Z., Anderson-Cook C.M. Genetic algorithm optimization and blending of composite laminates by locally reducing laminate thickness. Adv Eng Softw 2004, 35:35-43.
5. Adams D.B., Watson L.T., Seresta O., Gürdal Z. Global/local iteration for blended composite laminate panel structure optimization subproblems. Mech Adv Mater Struct 2007, 14:139-150.
6. Alhajahmad A., Abdalla M., Gürdal Z. Design tailoring for pressure pillowing using tow-placed steered fibers. J Aircraft 2008, 45(2):630-640.
7. Anderson M.S., Stroud W.J. General panel sizing computer code and its application to composite structural panels. AIAA J 1979, 17(8):892-897.
8. Antonio C.A.C. A hierarchical genetic algorithm with age structure for multimodal optimal design of hybrid composites. Struct Multidiscip Optim 2006, 31(4):280-294.
9. Antonio C.A.C., Marques A.T., Soeiro A.V. Optimization of laminated composite structures using a bilevel strategy. Compos Struct 1995, 33:193-200.
10. Barthelemy JFM. Engineering design applications of multilevel optimization methods. In: Brebbia CA, Hernandez S, editors. Computer-aided optimum design of structures: applications. New York: Springer-Verlag; 1989. p. 113-22.
11. Bendsoe M.P., Kikuchi N. Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 1988, 71:197-224.
12. Blom A.W., Setoodeh S., Hol J.M.A.M., Gürdal Z. Design of variable-stiffness conical shells for maximum fundamental eigenfrequency. Comput Struct 2008, 86:870-878.
13. Bruyneel M., Duysinx P., Fleury C. A family of MMA approximations for structural optimization. Struct Multidiscip Optim 2002, 24:263-276.
14. Cho H.K., Rowlands R.E. Optimizing fiber direction in perforated orthotropic media to reduce stress concentration. J Compos Mater 2009, 43(10):1177-1198.
15. Cilley F.H. The exact design of statically determinate frameworks and exposition of its possibility but futility. ASME Trans 1900, 43:353-407.
16. Conti P., Luparello S., Pasta A. Layer thickness optimisation in a laminated composite. Compos B - Eng 1997, 28(3):309-317.
17. Costin D.P., Wang B.P. Optimum design of composite structure with manufacturing constraints. Thin Walled Struct 1993, 17:185-202.
18. Crothers PJ, Drechsler K, Feltin D, Herszberg I, Bannister M. The design and application of tailored fibre placement. ICCM11 Gold Coast Australia 1997; I600-10.
19. Diaconu C.G., Sato M., Sekine H. Feasible region in general design space of lamination parameters for laminated composites. AIAA J 2002, 40(3):559-565.
20. Duvaut G., Terrel G., Lene F., Verijenko V.E. Optimization of fiber reinforced composites. Compos Struct 2000, 48(1-3):83-89.
21. Faggiani A., Falzon B.G. Optimization strategy for minimizing damage in postbuckling stiffened panels. AIAA J 2007, 45(10):2520-2528.
22. Fine A.S., Springer G.S. Design of composite laminates for strength, weight, and manufacturability. J Compos Mater 1997, 31(23):2330-2390.
23. Fuchs M.B., Paley M., Miroshny E. The Aboudi micromechanical model for topology design of structures. Comput Struct 1999, 73(1-5):355-362.
24. Fukunaga H., Chou T.W. On laminate configurations for simultaneous failure. J Compos Mater 1988, 22:271-286.
25. Ghiasi H., Pasini D., Lessard L. Optimum stacking sequence design of composite materials Part I: constant stiffness design. Compos Struct 2009, 90(1):1-11.
26. Gou S. Aeroelastic optimization of an aerobatic aircraft wing structure. Aerosp Sci Technol 2007, 11(5):396-404.
27. Gürdal Z, Hafta RT, Hajela P. Design and optimization of laminated composite materials. 1st ed. New York: Wiley & Sons Inc.; 1999.
28. Gürdal Z., Olmedo R. In-plane response of laminates with spatially varying fiber orientations: variable stiffness concept. AIAA J 1993, 31(4):751-758.
29. Gürdal Z., Tatting B.F., Wu C.K. Variable stiffness composite panels: effects of stiffness variation on the in-plane and buckling response. Composites: Part A 2008, 39:911-922.
30. Haftka R.T., Watson L.T. Decomposition theory for multidisciplinary design optimization problems with mixed integer quasiseparable subsystems. Optim Eng 2006, 7:135-149.
31. Haftka R.T., Watson L.T. Multidisciplinary design optimization with quasiseparable subsystems. Optim Eng 2005, 6:9-20.
32. Hammer V.B., Bendsoe M.P., Pedersen P. Parametrization in laminate design for optimal compliance. Int J Solids Struct 1997, 34(4):415-434.
33. Hansel W., Becker W. Layerwise adaptive topology optimization of laminate structures. Eng Comput 1999, 16(6-7):841-851.
34. Hansel W., Treptow A., Becker W., Freisleben B. A heuristic and a genetic topology optimization algorithm for weight-minimal laminate structures. Compos Struct 2002, 58:287-294.
35. Huang C., Kroplin B. On the optimization of composite laminated plates. Eng Comput 1995, 12(5):403-414.
36. Huang J., Haftka R.T. Optimization of fiber orientations near a hole for increased load-carrying capacity of composite laminates. Struct Multidiscip Optim 2005, 30(5):335-341.
37. Hyer M.W., Charette R.F. The use of curvilinear fiber format in composite structure design. AIAA J 1991, 29(6):1011-1015.
38. Hyer M.W., Lee H.H. The use of curvilinear fiber format to improve buckling resistance of composite plates with central circular holes. Compos Struct 1991, 18:239-261.
39. Jorgensen O. Optimization of the flutter load by material orientation. Mech Struct Mach 1991, 19(3):411-436.
40. Kam T.Y., Chang R.P. Optimal-design of laminated composite plates with dynamic and static considerations. Comput Struct 1989, 32(2):387-393.
41. Kam T.Y., Lai M.D. Multilevel optimal design of laminated composite plate structures. Comput Struct 1989, 31(2):197-202.
42. Kelly D.W., Hsu P., Asadullah M. Load paths and load flow in finite element analysis. Eng Comput 2001, 18(1-2):304-313.
43. Kelly DW, Willgoss R, Li R, Crosky A. A manufacturing procedure for composite laminate production using precision fiber placement. In: SAMPE, proceedings of SAMPE2001: a materials and processes Odyssey, vol. 2; 2001b. p. 2495-506. ISBN: 0-938994-90-5.
44. Khosravi P., Sedaghati R. Design of laminated composite structures for optimum fiber direction and layer thickness, using optimality criteria. Struct Multidiscip Optim 2008, 36(2):159-167.
45. Khot N.S., Venkayya V.B., Johnson C.D., Tischler V.A. Optimization of fiber reinforced composites. Int J Solids Struct 1973, 9:1225-1236.
46. Kim J.S., Kim C.G., Hong C.S. Optimum design of composite structures with ply drop using genetic algorithm and expert system shell. Compos Struct 1999, 46(2):171-187.
47. Kim M.S., Lee W.I., Han W.S., Vautrin A., Park C.H. Thickness optimization of composite plates by Box's complex method considering the process and material parameters in compression molding of SMC. Compos A - Appl Sci Manuf 2009, 40(8):1192-1198.
48. Kriechbaum R, Schafer J, Mattheck M. CAIO (computer aided internal optimisation): a powerful method to optimise fiber arrangement in composites. In: First European conference on smart structures and materials, Glasgow; 1992. p. 281-4.
49. Kristinsdottir B.P., Zabinsky Z.B., Tuttle M.E., Neogi S. Optimal design of large composite panels with varying loads. Compos Struct 2001, 51:93-102.
50. Kurland JA. Strength optimization of laminated composite structures. PhD thesis. Stanford (CA): Department of Mechanical Engineering, Stanford University; June 1994.
51. Landriani G.S., Rovati M. Optimal design for two dimensional structures made of composite materials. Eng Mater Technol 1991, 113:88-92.
52. Legrand X., Kelly D., Crosky A., Crepin D. Optimisation of fibre steering in composite laminates using a genetic algorithm. Compos Struct 2006, 75(1-4):524-531.
53. Leissa A.W., Vagins A.W. The design of orthotropic materials for stress optimization. Int J Solids Struct 1978, 14:517-526.
54. Li R., Kelly D.W., Crosky A.G. Strength improvement by fiber steering around a pin loaded hole. Compos Struct 2002, 57(1-4):377-383.
55. Li R, Kelly DW, Arima S, Willgoss RA, Crosky AG. Fiber steering around a cut-out in a shear loaded panel. In: Rasmussen BM, Pilato LA, Kilger HS, editors. In: Proceedings of the 47th international SAMPE symposium. Long Beach (CA, USA): Covina; 2002b. p. 1853-61.
56. Lipton R., Stuebner M. Optimal design of composite structures for strength and stiffness: an inverse homogenization approach. Struct Multidiscip Optim 2007, 33(4-5):351-362.
57. Liu B., Hafka R.T., Akgun M.A. Two level composite wing structural optimization using response surfaces. Struct Multidiscip Optim 2000, 20:87-96.
58. Liu B, Haftka RT. Composite wing structural design optimization with continuity constraints. In: Proceedings of 42nd AIAA/ASME/ASCE/AHS/ASC Structures, structural dynamics, and materials conference, Seattle, WA; 2001.
59. Logo J. New type of optimal topologies by iterative method. Mech Based Des Struct Mech 2005, 33:149-171.
60. Lopes C., Seresta O., Abdalla M., Gürdal Z., Thuis B., Camanho P.P. Stacking sequence dispersion and tow-placement for improved damage tolerance. AIAA J 2008, 2008-1735:1-11.
61. Lopes C.S., Camanho P.P., Gürdal Z., Maimi P., Gonzalez E.V. Low-velocity impact on dispersed stacking sequence laminates. Part I: experiments. Compos Sci Technol 2009, 69:926-936.
62. Lopes C.S., Camanho P.P., Gürdal Z., Tatting B.F. Progressive failure analysis of tow-placed variable-stiffness composite panels. Int J Solids Struct 2007, 44:8493-8516.
63. Lopes C.S., Gürdal Z., Camanho P.P. Variable-stiffness composite panels: buckling and first-ply failure improvements over straight-fibre laminates. Comput Struct 2008, 86:897-907.
64. Lund E., Stegmann J. On structural optimization of composite shell structures using a discrete constitutive parametrization. Wind Energy 2005, 8(1):109-124.
65. Ma ZD, Kikuchi N, Pierre C, Raju B. Multidomain topology optimization for structural and material des. J App Mech Trans ASME 2006;73(4):565-73.
66. Manne P.M., Tsai S.W. Design optimization of composite plates: Part II - structural optimization by plydrop tapering. J Compos Mater 1998, 32(6):572-598.
67. McMahon M.T., Watson L.T. A distributed genetic algorithm with migration for the design of composite laminate structures. Parallel Algorithms Appl 2000, 14:329-362.
68. Muc A. Optimal design of composite multilayered plated and shell structures. Thin-Walled Struct 2007, 45(10-11):816-820.
69. Myers R.H., Montgomery D.C., Anderson-Cook C. Response surface methodology 2009, John Wiley & Sons Inc., Hoboken, New Jersey.
70. Nagendra S, Kodiyalam S, Davis JE. Optimization of tow fiber paths for composite design. AIAA J 1995;95-1275-CP:1031-41.
71. Pao Y.C. Momentless design of composite structures with variable elastic constants. J Compos Mater 1969, 3:604-616.
72. Parnas L., Oral S., Ceyhan U. Optimum design of composite structures with curved fiber courses. Compos Sci Technol 2003, 63:1071-1082.
73. Pedersen P. On sensitivity analysis and optimal design of specially orthotropic laminates. Eng Optim 1987, 11:305-316.
74. Pedersen P. On optimal orientation of orthotropic materials. Struct Optim 1989, 1:101-106.
75. Pedersen P. Bounds on elastic energy in solids of orthotropic materials. Struct Optim 1990, 2:55-63.
76. Pedersen P. On thickness and orientational design with orthotropic materials. Struct Optim 1991, 3(2):69-78.
77. Pedersen P. Optimal orientation of anisotropic materials, optimal distribution of anisotropic materials, optimal shape design with anisotropic materials, optimal design for a class of non-linear elasticity. In: Optimization of large structural systems; proceedings of the NATO/DFG, vol. 2. Berchtesgaden, Germany: Advanced Study Institute; September 23-October 4, 1991a. p. 649-81.
78. Pedersen P. Some general optimal design results using anisotropic, power law nonlinear elasticity. Struct Optim 1998, 15:73-80.
79. Pedersen P. Example of density, orientation, and shape-optimal 2D-design for stiffness and/or strength with orthotropic materials. Struct Multidiscip Optim 2004, 26:37-49.
80. Pedersen P., Seyranian A.P. Sensitivity analysis for problems of dynamic stability. Int J Solids Struct 1983, 19(4):315-335.
81. Prager W. A note on discretized michell structures. Comput Methods Appl Mech Eng 1974, 3:349-355.
82. Prager W, Rozvany GIN. Optimization of the structural geometry. In: Bednarek AR, Cesari L, editors. Dynamical systems, Proceedings of the international conference in Gainesville, Florida, March, 1976. New York: Academic; 1976. p. 265-93.
83. Ragon S., Gürdal Z., Hafka R.T., Tzong T.J. Bilevel design of wing structure using response surfaces. J Aircraft 2003, 40(5):985-992.
84. Ragon SA, Gürdal Z, Haftka RT, Tzong TJ. Global/local structural wing design using response surface techniques. In: Proc 38th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and materials conf, Kissimmee, FL; April 1997. AIAA Paper 97-1051. p. 1204-14.
85. Rao ARM. Lay-up sequence design of laminate composite plates and a cylindrical skirt using ant colony optimization. In: Proceedings of the institution of mechanical engineers, Part G: J Aerospace Eng 2009; 223(G1):1-18.
86. Rao SS. Engineering optimization, theory and practice. 3rd ed., John Wiley & Sons, Inc., Wiley Eastern Limited, Publishers, and New Age International Publishers, Ltd.; 1996.
87. Schmit L.A., Mehrinfar M. Multilevel optimization design of structures with fiber-composite stiffened-panel components. AIAA J 1982, 20(1):138-147.
88. Seresta O., Gürdal Z., Adams D.B., Watson L.T. Optimal design of composite wing structures with blended laminates. Compos B - Eng 2007, 38(4):469-480.
89. Setoodeh S., Abdalla M.M., Gürdal Z. Design of variable-stiffness laminates using lamination parameters. Composites: Part B 2006, 37:301-309.
90. Setoodeh S., Abdalla M.M., Gürdal Z. Combined topology and fiber path design of composite layers using cellular automata. Struct Multidiscip Optim 2005, 30(6):413-421.
91. Setoodeh S., Abdalla M.M., Ijsselmuiden S.T., Gürdal Z. Design of variable-stiffness composite panels for maximum buckling load. Compos Struct 2008, 87:109-117.
92. Setoodeh S., Gürdal Z., Watson L.T. Design of variable-stiffness composite layers using cellular automata. Comput Methods Appl Mech Eng 2006, 195(9-12):836-851.
93. Sobieszczanski J., Leondorf D. A mixed optimization method for automated design of the fuselage structures. J Aircraft 1972, 9:805-822.
94. Sobieszczanski-Sobieski J., James B.B., Dovi A.R. Structural optimization by multi-level decomposition. AIAA J 1985, 23(11):1775-1782.
95. Soeiro A.V., Antonio C.A.C., Marques A.T. Multilevel optimization of laminated composite structures. Struct Optim 1994, 7:55-60.
96. Soremekun G, Gürdal Z, Haftka RT, Watson LT. Improving genetic algorithm efficiency and reliability in the design and optimization of composite structures. Technical Report TR-96-13. Blacksburg (VA): Dept. of Computer Science, Virginia Polytechnic Institute and State University; 1996.
97. Soremekun G., Gürdal Z., Kassapoglou C., Toni D. Stacking sequence blending of multiple composite laminates using genetic algorithms. Compos Struct 2002, 56(1):53-63.
98. Stegmann J., Lund E. Discrete material optimization of general composite shell structures. Int J Numer Methods Eng 2005, 62(14):2009-2027.
99. Stegmann J., Lund E. Nonlinear topology optimization of layered shell structures. Struct Multidiscip Optim 2005, 29:249-360.
100. Stroud WJ, Anderson MS. PASCO: structural panel analysis and sizing code, capability and analytical foundations. NASA TM-80181; 1980.
101. Surendranath H., Bruck H.A., Gowrisankaran S. Enhancing the optimization of material distributions in composite structures using gradient architectures. Int J Solids Struct 2003, 40:2999-3020.
102. Tapp C., Hansel W., Mittelstedt C., Becker W. Weight-minimization of sandwich structures by a heuristic topology optimization algorithm. CMES - Comput Model Eng Sci 2004, 5(6):563-573.
103. Tatting B, Gürdal Z. Analysis and design of tow-steered variable stiffness composite laminates. In: American helicopter society hampton roads chapter, structure specialists' meeting. Williamsburg (VA); 2001.
104. Thomsen J. Optimization of composite discs. Struct Optim 1991, 3(2):89-98.
105. Tosh M.W., Kelly D.W. On the design, manufacture and testing of trajectorial fiber steering for carbon fiber composite laminates. Composites: Part A 2000, 31:1047-1060.
106. Tosh M.W., Kelly D.W. Fiber steering for a composite C-beam. Compos Struct 2001, 53:133-141.
107. Vandervelde T, Milani AS. Layout optimization of a multi-zoned, multi-layered composite wing under free vibration. In: Proceedings of SPIE - the international society for optical engineering; 7286:16th SPIE annual international symposium on smart structures/NDE. San Diego, USA; 2009.
108. Venkayya VB, Khot NS, Reddy VS. Energy distribution in an optimum structural design. In: Air force dynamic lab, air force systems command. Ohio: Wright-Patterson Air Force Base; 1969.
109. Venkayya V.B., Khot N.S., Reddy V.S. Design of optimum structures. Comput Struct 1971, 1:265-309.
110. Wang B.P., Costin D.P. Optimum design of composite structure with three types of manufacturing constraints. AIAA J 1992, 30(6):1667-1669.
111. Wang G.G., Dong Z. Adaptive response surface method - a global optimization scheme for approximation-based design problems. Eng Optim 2001, 33(6):707-733.
112. Watkins R.I., Morris A. A multi-criteria objective function optimization scheme for laminated composites for use in multilevel structural optimization schemes. Comput Methods Appl Mech Eng 1987, 60:233-251.
113. Zabinsky ZB, Tuttle ME, Khompatraporn C. Global optimization: Scientific and engineering case studies. In: János D. Pintér, editor. A case study: composite structure design optimization. 1st ed. Springer; 2006 [chapter 21].
114. Zehnder N., Ermanni P. A methodology for the global optimization of laminated composite structures. Compos Struct 2006, 72:311-320.
115. Zehnder N., Ermanni P. Optimizing the shape and placement of patches of reinforcement fibers. Compos Struct 2007, 77:1-9.
116. Zhou K., Li J. The exact weight of discretized Michell trusses for a central point load. Struct Multidiscip Optim 2004, 28:69-72.
117. Zhou K, Li X. Topology optimization for minimum compliance based on continuous distribution of members. In: 7th world congress on structural and multidisciplinary optimization. COEX Seoul, Korea; May 2007. p.1694-99.
118. Zhou K., Li X. Topology optimization for minimum compliance under multiple loads based on continuous distribution of members. Struct Multidiscip Optim 2008, 37(1):49-56.