Buckling and free vibration of non-homogeneous composite cross-ply laminated plates with various plate theories

Composite Structures

Volumn 44, Issue 4, 1999, Pages 279-287

  Fares, M E ^b   Zenkour, A M ^a  

^a KAFRELSHEIKH UNIVERSITY   (Egypt)

^b NONE

Author keywords

Buckling and free vibration; Non homogeneous laminated plates

Indexed keywords

BUCKLING; DYNAMIC RESPONSE; PLATES (STRUCTURAL COMPONENTS); VIBRATIONS (MECHANICAL);

FREE VIBRATION; NON HOMOGENEOUS LAMINATED PLATE;

LAMINATED COMPOSITES;

BUCKLING; FIBER REINFORCED COMPOSITE; LAMINATE; USE;

EID: 0033038510     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0263-8223(98)00135-4     Document Type: Article

References (26)

1. [1] Reissner E. The effect of transverse shear deformation on the bending of elastic plates. J. Appl. Mech. 12(2), Trans. ASME 1945;61:69-77.
2. [1] Reissner E. The effect of transverse shear deformation on the bending of elastic plates. J. Appl. Mech. 12(2), Trans. ASME 1945;61:69-77.
3. [2] Mindlin RD. Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates. J. Appl. Mech. 1951;18:31-38.
4. [3] Yang PC, Norris CH, Stavsky Y. Elastic wave propagation in heterogeneous plates. International Journal of Solids and Structures 1966;2:665-684.
5. [4] Reissner E, Reflection on the theory of elastic plates. Appl. Mech. Rev. 1985;38:1453-1464.
6. [5] Noor AK, Burton WS. Refinement of higher-order laminated plate theories. Appl. Mech. Rev. 1989;42:1-13.
7. [6] Reddy JN. A review of refined theories of laminated composite plates. Shock. Vibr. Dig. 1990;22:3-17.
8. [7] Whitney JM, Sun CT. A higher-order theory for extensional motion of laminated composites. Journal of Sound and Vibration, 1973;30:85-97.
9. [8] Fares ME, Allam MNM. Vibrations of an anisotropic rectangular plate including the effect of shear deformation and rotatory inertia. Mechanics Research Communications 1992;19(3): 209-218.
10. [9] Fares ME. A refined two-dimensional theory of anisotropic plates. Mechanics Research Communications 1993;20(4): 319-327.
11. [10] Yungian QI, Norman FK. A refined-first-order shear deformation theory and its justification by plane-strain bending problem of laminated plates. International Journal of Solids and Structures 1996;33(1):49-64.
12. [11] Fares ME, Zenkour AM. Mixed variational formula for the thermal bending of laminated plates. J. Thermal Stresses, to appear.
13. [12] Christensen RH, Lo KH, Wu EM. A high-order theory of plate deformation, Part 2; laminated plates. J. Appl. Mech. 1977; 44:660-676.
14. [13] Murthy MV. An improved transverse shear deformation theory for laminated anisotropic plates. NASA Technical 1981:1903.
15. [14] Reddy JN. A simple higher-order theory for laminated composite plates. J. Appl. Mech. 1984;51:745-752.
16. [15] Reddy JN, Barbero EJ, Teply JL. A plate bending element based on a generalized laminate plate theory. Int. J. Num. Mech. Engng. 1989;28:2275-2292.
17. [16] Reddy JN, Khdeir AA. Buckling and vibration of laminated composite plates using various plate theories. AIAA J. 1989;27(12):1808-1817.
18. [17] Whitney JM, Pagano NJ. Shear deformation in heterogeneous anisotropic plates. Journal of Applied Mechanics, Trans. ASME 1970;37(4):1031-1036.
19. [18] Bert CW. Simplified analysis of elastic shear factors for beams of non-homogeneous cross-section. Journal of Composite Materials 1973;7:525-529.
20. [19] Librescu L. Elastostatics and kinetics of anisotropic and heterogeneous shell-type structures. Leiden, The Netherlands: Noordhoff, 1975.
21. [20] Reissner E. A mixed variational equation for a twelfth-order theory of bending of nonhomogeneous transversely isotropic plates. Comput. Mech. 1991;7:255-260.
22. [21] Reissner E. On the equations of an eighth-order theory of nonhomogeneous transversely isotropic plates. International Journal of Solids and Structures 1994;31(1):89-96.
23. [22] Putcha NS, Reddy, JN. Stability and natural vibration analysis of laminated plates by using a mixed element based on a refined plate theory. Journal of Sound and Vibration 1986;104(2):285-300.
24. [23] Noor AK. Free vibrations of multylayered composite plates. AIAA J. 1973;11:1038-1039.
25. [24] Khdeir AA, Librescu L. Analysis of symmetric cross-ply laminated elastic plates using a higher-order theory. Part II-buckling and free vibration. Composite Structures 1988;9: 259-277.
26. [25] Noor AK. Stability of multylayered composite plates. Fibre Sci. Technol. 1975;8(2):81-89.