Non-linear bending analysis of composite laminated plates using a refined first-order theory

Composite Structures

Volumn 46, Issue 3, 1999, Pages 257-266

  Fares, M E ^a  

^a Mansoura University   (Egypt)

Author keywords

Composite laminates; Equivalent single layer model; Mixed variational approach; Non linear bending analysis

Indexed keywords

BENDING (DEFORMATION); BOUNDARY CONDITIONS; DEFLECTION (STRUCTURES); PLATES (STRUCTURAL COMPONENTS); STRESS ANALYSIS; STRESS CONCENTRATION; STRUCTURAL ANALYSIS;

MIXED VARIATIONAL APPROACH; VON KARMAN NONLINEARITY;

LAMINATED COMPOSITES;

EID: 0033359611     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0263-8223(99)00062-8     Document Type: Article

References (23)

1. Ambartsumyan SA, Theory of Anisotropic Plates, Technomic. Stanford: CT, 1970.
2. Reddy JN. Mechanics of Laminated Composite Structures, Lecture Notes, Virginia Polytechnic Institute and State University, Blacksburg: VA, 1988.
3. Reddy JN A general third-order non-linear theory of plates with moderate thickness. Int J Non-Linear Mech. 25(6):1990;677-686.
4. Reddy JN A review of refined theories of laminated composite plates. Shock and Vibration Digest. 22(7):1990;3-17.
5. Khdeir AA A remark on the state-space concept applied to bending, buckling and free vibration of composite laminates. Comp Struct. 59:1996;813-817.
6. Nosier A, Reddy JN A study of non-linear dynamic equations of higher-order shear deformation plate theories. Int J Non-Linear Mech. 26(2):1991;233-249.
7. Khdeir AA, Reddy JN An exact solution for the bending of thin and thick cross-ply laminated beams. Composite Struct. 37:1997;195-203.
8. Nosier A, Kapania RK, Reddy JN Free vibration analysis of laminated plates using a layerwise theory. AIAA J. 31(12):1993;2335-2346.
9. Barbero EJ, Reddy JN, Teply JL An accurate determination of stresses in thick laminates using a generalized plate theory. J Numer Meth Eng. 29:1990;1-14.
10. Reddy JN. On the generalization of displacement-based laminate theories. Appl Mech Rev 1989;42(11)part 2:213-22.
11. Reddy JN On refined theories of composite laminates. Meccanica. 25:1990;230-238.
12. Cho KN, Bert CW, Striz AG Free vibrations of laminated rectangular plates analyzed by higher-order individual layer theory. J Sound and Vibration. 145(3):1991;429-442.
13. Toledano A, Murakami H A composite plate theory for arbitrary laminate configuration. J Appl Mech. 54:1987;181-189.
14. Yunqian QI, Norman F, Knight JR A refined first-order shear defornation theory and its justification by plane-strain bending problem of laminled plates. Int J Solids Struct. 33(1):1996;49-64.
15. Reddy JN A generalization of two-dimensional theories of laminated composite plates. Commun Appl Numer Meth. 3(3):1987;173-180.
16. Fares ME, Zenkour AM Buckling and free vibration of non-homogeneous composite cross-ply laminated plates with various plate theories. Composite Struct. 44(4):1999;279-287.
17. Suzki S Stress analysis of short beams. AIAA J. 24:1986;1396-1398.
18. Kapania R, Raciti S. Recent advances in analysis of laminated beams and plates. Part I: Shear Effects and Buckling. AIAA J 1989;27:923-934.
19. Reddy JN. Mechanics of laminated composite plates: theory and analysis. Boca Raton, Florida: CRC Press, 1997.
20. Levinson M A new rectangular beam theory. J Sound Vibrations. 74:1981;81-87.
21. Fares ME Mixed variational formulation in geometrically non-linear elasticity and a generalized nth-order beam theory. Int J Non-linear Mech. 34(3):1999;685-691.
22. Khdeir AA, Reddy JN, Librescu L Analytical solution of a refined shear deformation theory for rectangular composite plates. Int J Solids Struct. 23(10):1987;1447-1463.
23. Putcha NS, Reddy JN A refined mixed shear flexible finite element for the non-linear analysis of laminated plates. Composite Struct. 22(4):1986;529-538.