The development of laminated composite plate theories: A review

Journal of Materials Science

Volumn 47, Issue 16, 2012, Pages 5901-5910

  Khandan, Rasoul ^a   Noroozi, Siamak ^a   Sewell, Philip ^a   Vinney, John ^a  

^a BOURNEMOUTH UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BASIC MODELS; COMPOSITE PLATES; DISCRETE THEORY; HIGHER ORDER SHEAR DEFORMATION THEORY; LAMINATE PLATE THEORY; LAMINATED COMPOSITE PLATES; LAYER-WISE THEORY; NORMAL STRESS; PLATE THEORIES; SINGLE-LAYER THEORY; STRESS-INDUCED; TRANSVERSE SHEAR; ZIG-ZAG;

LAMINATED COMPOSITES;

PLATES (STRUCTURAL COMPONENTS);

EID: 84864424388     PISSN: 00222461     EISSN: 15734803     Source Type: Journal    
DOI: 10.1007/s10853-012-6329-y     Document Type: Review

References (159)

1. Fu Y, Li S, Jiang Y (2008) Acta Mech Solida Sinica 21(2):127.
2. Blanc M, Touratier M (2007) Compos Struct 77:193.
3. Onsy RL, Tran-Cong T (2002) Compos Struct 56:249.
4. Han SC, Tabiei A, Park WT (2008) Compos Struct 82:465.
5. Faimun1 F, Gosling PD, Polit O, Touratier M (2005) Analytical response sensitivity of laminated composite plate using trigonometric type element. 13th ACME Conference.
6. Khandan R, Noroozi S, Sewell P, Vinney J, Ramazani MR (2010) Optimum design of fibre orientation angles in composite laminate plates for minimum thickness. ASME 2010 International Mechanical Engineering Congress & Exposition, Canada.
7. Fox DD (2000) Comput Struct 75:313.
8. Aydogdu M (2009) Compos Struct 89:94.
9. Wu Z, Chen R, Chen W (2005) Compos Struct 70:135.
10. Reissner E, Stavsky Y (1961) J Appl Mech 28:402.
11. Stavsky Y (1961) J Eng Mech ASCE 87(6):31.
12. Dong SB, Pister KS, Taylor RL (1962) J Aeronaut Sci 29(8):969.
13. Yang PC, Norris CH, Stavsky Y (1966) Int J Solids Struct 2:665.
14. Ambartsumyan SA (1969) Theory of anisotropic plates, translated from Russian by T Cheron. Technomic, Stamford.
15. Whitney JM, Leissa AW (1969) J Appl Mech 36(2):261.
16. Reddy JN (2004) Mechanics of laminated composite plates and shells, 2nd edn. CRC Press, New York.
17. Kirchhoff G (1850) J Reine Angew Math 40:51.
18. Love AEH (1934) The mathematical theory of elasticity. Cambridge University Press, Cambridge.
19. Timoshenko S (1934) Theory of elasticity. McGraw-Hill, New York.
20. Reissner E (1945) J Appl Mech 12:69.
21. Reddy JN (1984) Energy and variational methods in applied mechanics. Wiley, London.
22. Cosentino E, Weaver P (2010) Eur J Mech A 29(4):567.
23. Aydogdu M (2006) J Compos Mater 40:2143.
24. Pagano NJ, Hatfield SJ (1972) AIAA J 10(7):931.
25. Noor AK (1972) AIAA J 11(7):1038.
26. Noor AK (1975) Fibre Sci Technol 8(2):81.
27. Mindlin RD 1951) J Appl Mech ASME 18:31.
28. Levinson M (1980) Mech Res Commun 7:343.
29. Murthy MVV (1981) An improved transverse shear deformation theory for laminated anisotropic plates. NASA Technical paper No 1903.
30. Bhaskar K, Varadan TK (1993) J Sound Vib 168(3):469.
31. Kant T, Swaminathan K (2000) Compos Struct 49:65.
32. Karama M, Abou Harb B, Mistou S, Caperaa S (1998) Compos Part B 29B:223.
33. Whitney JM, Sun CT (1973) J Sound Vib 30(1):85.
34. Pagano NJ (1974) J Comput Mater 8:65.
35. Tang S (1975) J Comp Mater 9:33.
36. Tang S, Levy A (1975) J Comp Mater 9:42.
37. Hsu PW, Herakovich CT (1977) J Comp Mater 11:422.
38. Pipes RB, Pagano NJ (1974) ASME J Appl Mech 41:668.
39. Pagano NJ (1978) Int J Solids Struct 14(4):385.
40. Pagano NJ (1978) Int J Solids Struct 14:401.
41. Wang SS, Choi I (1982) ASME J Appl Mech 49:541550.
42. Wang SS, Choi I (1982) ASME J Appl Mech 49:549.
43. Wang SS, Choi I (1983) ASME J Appl Mech 50:169.
44. Wang SS, Choi I (1983) ASME J Appl Mech 50:179.
45. Lehknitskii SG (1963) Theory of elasticity of an anisotropic elastic body. Holden Day, San Francisco.
46. Ambartsumian SA (1958) Izv Otd Tech Nauk AN SSSR 5:69.
47. Soldatos KP, Timarci T (1993) Compos Struct 25:165.
48. Touratier M (1991) Int J Eng Sci 29(8):901.
49. Karama M, Afaq KS, Mistou S (2003) Int J Solids Struct 40:1525.
50. Soldatos KP (1992) Acta Mech 94:195.
51. Swaminathan K, Patil SS (2008) Compos Struct 82:209.
52. Matsunaga H (1994) Int J Solids Struct 31(22):3113.
53. Matsunaga H (1997) Comput Struct 62(1):205.
54. Matsunaga H (2000) Compos Struct 48(4):231.
55. Matsunaga H (2001) Int J Mech Sci 43:1925.
56. Matsunaga H (2006) Compos Struct 72:177.
57. Matsunaga H (2007) Compos Struct 77:249.
58. Fiedler L, Lacarbonara W, Vestroni F (2010) Compos Struct 92:3011.
59. Schmidt R (1977) Ind. Math. 27(1):23.
60. Jemielita G (1975) Eng Trans 23:483.
61. Reissner E (1985) Appl Mech Rev 38:1453.
62. Phan ND, Reddy JN (1985) Int J Numer Methods Eng 21(12):2201.
63. Vuksanovic DJ (2000) Compos Struct 48:205.
64. Pandya BN, Kant T (1988) Comput Methods Appl Mech Eng 66:173.
65. Vlasov BF (1957) Dokla Ak Nauk Azerbeijanskoi SSR 3:955 (in Russian).
66. Reddy JN (1990) Int J Nonlinear Mech 25:677.
67. Carrera E (2007) Compos Struct 77:341.
68. IdIbi A, Karama M, Touratier M (1997) Compos Struct 37(2):173.
69. Stein M (1986) AIAA J 24(9):1537.
70. Stein M, Jogley DC (1987) AIAA J 25(1):123.
71. Kassapoglou C, Lagace PA (1986) ASME J Appl Mech 53:744.
72. Kassapoglou C, Lagace PA (1987) J Comp Mater 21(4):292.
73. Kassapoglou C (1990) J Reinf Plast Comp 9(1):33.
74. Becker W (1993) Comp Struct 26(2):39.
75. Mortan SK, Webber JPH (1993) Comp Sci Technol 46:175.
76. Lu X, Liu D (1990) In: Proceedings of the fifth technical conference of the American society for composites. Technomic, Lancaster, pp 479-561.
77. Lu X, Liu D (1992) AIAA J 30(4):1063.
78. Lee CY, Liu D (1992) Comput Struct 42(1):69.
79. Ramalingeswara R, Ganesan N (1996) Mech Comp Mater Struct 3:321.
80. Rohwer K (1992) Int J Solids Struct 29(1):105.
81. Kabir HRH (1992) Comput Struct 43(4):769.
82. Kabir HRH (1994) Comput Struct 51(3):299.
83. Kabir HRH (1996) Mech Comp Mater Struct 3:341.
84. Ko CC, Lin CC (1992) AIAA J 30(1):197.
85. Ko CC, Lin CC (1993) AIAA J 31(6):1118.
86. Wang X, Li SJ (1992) Int J Solids Struct 29(10):1293.
87. Matsunaga H (2002) Compos Struct 56:279.
88. Soldatos KP (2004) J Mech Phys Solids 52:341.
89. Soldatos KP, Watson P (1997) Acta Mech 123:163.
90. Soldatos KP, Watson P (1997) Math Mech Solids 2:459.
91. Soldatos KP (2006) Math Mech Solids 11:596.
92. Wu CP, Chen WY (1994) J Sound Vib 177(4):503.
93. Cho KN, Bert CW, Striz AG (1991) J Sound Vib 145(3):429.
94. Plagianakos TS, Saravanos DA (2009) Compos Struct 87(1):23.
95. Fares ME, Elmarghany MK (2008) Compos Struct 82:71.
96. Nosier A, Kapania RK, Reddy JN (1993) AIAA J 31(12):2335.
97. Di Sciuva M, Icardi U (1995) AIAA J 33(12):2435.
98. Cho MH, Parmerter RR (1993) AIAA J 31(7):1299.
99. Lekhnitskii SG (1968) Anisotropic plates. Gordon and Breach Science Publishers, New York.
100. Ren JG (1986) Compos Sci Technol 27:225.
101. Reissner E (1944) J Math Phys 23:184.
102. Noor AK, Burton WS (1989) ASME Appl Mech Rev 42(1):1.
103. Carrera E (1998) ASME J Appl Mech 65(12):820.
104. Di Sciuva M (1987) ASME J Appl Mech 54:589.
105. Di Sciuva M (1993) Comput Struct 47(1):91.
106. Touratier M (1992) Int J Solids Struct 29(11):1379.
107. Beakou A (1991) Homogtntisation et modtlisation des coques composites multicouches. Thesis ENSAM, Paris (in French).
108. Idlbi A (1995) Comparaison de thtories de plaque et estimation de la qualite des solutions dans la zone bord. Thesis, ENSAM, Paris (in French).
109. He LH (1994) Int J Solids Struct 31(5):613.
110. Ossadzow C, Muller P, Touratier M (1995) Une thtorie gtnerale des coques composites multicouches. Deuxibme colloque national en calcul des structures. Tome 1. Hermes.
111. Lee KH, Senthilnathan NR, Lim SP, Chow ST (1990) Compos Struct 15:137.
112. Di Sciuva M (1992) Compos Struct 22:149.
113. Cho M, Parmerter R (1992) Compos Struct 20:113.
114. Sun CT, Whitney JM (1973) AIAA J 11:178261.
115. Srinivas S (1973) J Sound Vib 30:495.
116. Seide P (1980) In: Nemat-Nasser S (ed), Mechanics Today, vol 5 Pergamon Press, Oxford, pp 451-517.
117. He JF (1989) In: Proceedings of the seventh international conference on the composite materials, vol 4, pp 180-183.
118. He JF (1992) J Compos Struct 21:67.
119. He JF, Chou M, Zhang X (1993) J Compos Struct 24:125.
120. He JF, Zhang ZZ (1996) Compos Struct 34:437.
121. Savoia M, Reddy JN (1992) J Appl Mech 59:166.
122. Robbins DH, Reddy JN (1993) Int J Numer Methods Eng 36:655.
123. Chaudhri RA (1986) Comput Struct 23:139.
124. Barbero EJ, Reddy JN, Teply JL (1989) Int J Numer Methods Eng 28:2275.
125. Han J, Hao SV (1993) Int J Numer Methods Eng 36:3903.
126. Wu CP, Kuo HC (1992) Comp Struct 20(4):237.
127. Carrera E, Ciuffreda A (2005) Compos Struct 69:271.
128. Hellinger E (1914) Encykl Math Wiss 4(4):654.
129. Carrera E (1995) Atti Accad Sci Torino, Mem Sci Fis 19:49.
130. Shimpi RP, Patel HG, Arya H (2007) J Appl Mech 4:523.
131. Tessler A, Di Sciuva M, Gherone M (2009) Refined zigzag theory for laminated composite and sandwich plates. NASA Report, NASA/TP-2009-215561.
132. Cen S, Long Y, Yao Z (2002) Comput Struct 80:819.
133. Wu CP, Li HY (2010) Compos Struct 92:2591.
134. Daghia F, de Miranda S, Ubertini F, Viola E (2008) Int J Solids Struct 45:1766.
135. Demasi L (2009) Compos Struct 87:1.
136. Demasi L (2009) Compos Struct 87:12.
137. Demasi L (2009) Compos Struct 87:183.
138. Demasi L (2009) Compos Struct 87:195.
139. Demasi L (2009) Compos Struct 88:1.
140. Bhar A, Satsangi SK (2011) Eur J Mech A 30:46.
141. Moleiro F (2008) Comput Struct 86:826.
142. Chou TW, Kelly A (1980) J Mater Sci 15:327. doi: 10.1007/BF02396779.
143. Moleiro F, Mota Soares CM, Mota Soares CA, Reddy JN (2009) Comput Methods Appl Mech Eng 198:1848.
144. Moleiro F (2010) Compos Struct 92:2328.
145. Moleiro F (2011) Compos Struct 92:2328.
146. Ramesh SS, Wang CM, Reddy JN, Ang KK (2008) Eng Struct 30:2687.
147. Carrera E, Demasi L (2002) Int J Numer Methods Eng 55:191.
148. Carrera E, Demasi L (2002) Int J Numer Methods Eng 55:253.
149. Ramesh SS, Wang CM, Reddy JN, Ang KK (2009) Compos Struct 91:337.
150. Sheikh AH, Chakrabarti A (2003) Finite Elem Anal Des 39:883.
151. Cho M, Parmerter R (1994) AIAA J 32:2241.
152. Oh J, Cho M (2004) Int J Solids Struct 41:1357.
153. Ugo I (1998) Compos Part B 29B:425.
154. Han SC, Kim KD, Kanok-Nukulchai W (2004) Struct Eng Mech Int J 18(6):807.
155. Zhang YX, Kim KS (2005) Comput Mech 36:331.
156. Kim KD, Liu GZ, Han SC (2005) Comput Mech 35(5):315.
157. Kreja I, Schmidt R (2006) Int J Non-linear Mech 41(1):101.
158. Xiang S, Jiang SX, Bi ZY, Jin YX, Yang MS (2011) Compos Struct 93:299.
159. Liew KM, Zhao X, Ferreira AJM (2011) Compos Struct 93:2031