Exact bending solution of inhomogeneous plates from homogeneous thin-plate deflection

AIAA Journal

Volumn 38, Issue 7, 2000, Pages 1282-1291

  Cheng, Zhen Qiang ^a,b,c   Kitipornchai, S ^b,c  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b UNIVERSITY OF QUEENSLAND   (Australia)

^c Department of Modem Mechanics ^*  (China)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); DEFLECTION (STRUCTURES); EIGENVALUES AND EIGENFUNCTIONS; ELASTIC MODULI; MATRIX ALGEBRA; POISSON RATIO; SANDWICH STRUCTURES; SHEAR DEFORMATION;

CARTESIAN COORDINATE SYSTEM; FIRST ORDER SHEAR DEFORMATION THEORY; KIRCHHOFF THIN PLATE; POLYGONAL PLATE; POTENTIAL FUNCTION TECHNIQUE; SANDWICH PLATES; THIN PLATE DEFLECTION;

PLATES (STRUCTURAL COMPONENTS);

EID: 0034227929     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.1100     Document Type: Article

References (18)

1. Reissner, E., "Finite Deflections of Sandwich Plates," Journal of the Aeronautical Sciences, Vol. 15, No. 7, 1948, pp. 435-440.
2. Hu, H. C., "On Some Problems of the Antisymmetrical Small Deflection of Isotropie Sandwich Plates," Arta Mechanics Sinira, Vol. 6, No. 1, 1963, pp. 53-60 (in Chinese).
3. Ueng, C. E. S., "A Note on the Similarities Between the Analyses of Homogeneous and Sandwich Plates," Journal of Applied Mechanics, Vol. 33, No. 3, 1966, pp. 681-683.
4. Ueng, C. E. S., and Lin, Y. J., "A Note on a Non-Linear Theory on Dending of Orthotropic Sandwich Plates," Aeronautical Quarterly, Vol, 19, Pt.2, 1968, pp. 127-134.
5. Librescu, L., Elastostatics and Kinetics of Anisotropie and Heterogeneous Shell-Type Structures, Noordhoff, Leyden, The Netherlands, 1975, pp. 493-542.
6. Liu, R. H., and Cheng, Z. Q., "Nonlinear Bending of Simply Supported Rectangular Sandwich Plates," Applied Mathematics and Mechanics, Vol. 14, No. 3, 1993, pp. 217-234.
7. Cheng, Z. Q., Wang, X. X., and Huang, M. G., "Large Deflections of Rectangular Hoff Sandwich Plates," International Journal of Solids and Structures, Vol. 30, No. 17, 1993, pp. 2335-2346.
8. Cheng, Z. Q., Wang, X. X., and Huang, M. G., "Nonlinear Flexural Vibration of Rectangular Moderately Thick Plates and Sandwich Plates," International Journal of Mechanical Sciences, Vol. 35, No. 10, 1993, pp. 815-827.
9. Cheng, Z. Q., Wang, X. X., and Huang, M. G., "Postbuckling of Rectangular Moderately Thick Plates and Sandwich Plates," Applied Mathematics and Mechanics, Vol. 15, No. 7, 1994, pp. 605-610.
10. Librescu, L., Hause, T., and Camarda, C. J., "Geometrically Nonlinear Theory of Initially Imperfect Sandwich Curved Panels Incorporating Nonclassical Effects," AIAA Journal, Vol. 35, No. 8, 1997, pp. 1393-1403.
11. Noor, A. K., Burton, W. S., and Bert, C. \V., "Computational Models for Sandwich Panels and Shells," Applied Mechanics Reviews, Vol. 49, No. 3, 1996, pp. 155-199.
12. Wang, C. M.,"Deflectionof Sandwich Plates inTerms of Corresponding Kirchhoff Plate Solutions," Archive of Applied Mechanics, Vol. 65, No. 6, 1995, pp. 408-414.
13. l3 Wang, C. M., and Alwis, W. A. M., "Simply Supported Polygonal Mindlin Plate Deflections Using Kirchhoff Plates," Journal of Engineering Mechanics, \'o\. 121, No. 12, 1995, pp. 1383-1385.
14. l4 Reddy, J. N., "A Simple Higher-Order Theory for Laminated Composite Plates," Journal of Applied Mechanics, Vol. 51, No. 4, 1984, pp. 745-752.
15. Reddy, J. N., Mechanics of Laminated Composite Plates: Theory and Analysis, CRC Press, Boca Raton, FL, 1997, pp. 59I-650.
16. Reddy, J. N., and Wang, C. M., "Deflection Relationships Between the Classical and Third-Order Plate Theories," Ada Mechanica, Vol. 130, No. 3-1, 1998, pp. 199-208.
17. Cheng, Z. Q., and Kitipornchai, S., "Exact Connection Between Deflections of the Classical and Shear Deformation Laminated Plate Theories," Journal of Applied Mechanics, Vol. 66, No. I, 1999, pp. 260-262.
18. Reddy, J. N., and Chin, C. D., "Thermomechanical Analysis of Functionally Graded Cylinders and Plates," Journal (if Thermal Stresses, Vol. 21, No. 6, 1998, pp. 593-626.