Relationships between buckling loads of Kirchhoff, Mindlin, and Reddy polygonal plates on Pasternak foundation

Journal of Engineering Mechanics

Volumn 123, Issue 11, 1997, Pages 1134-1137

  Wang, C M ^a,b   Kitipornchai, S ^a,c   Xiang, Y ^d  

^a ASCE   (Singapore)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c UNIVERSITY OF QUEENSLAND   (Australia)

^d UNIVERSITY OF WESTERN SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000570074     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(1997)123:11(1134)     Document Type: Article

References (17)

1. Hencky, H. (1947). "Uber die berucksichtigung der schubverzerrung in ebenen platten." Ing. Arch., 16, 72-76 (in German).
2. Kirchhoff, G. (1850). "Uber das gleichgwich und die bewegung einer elastischen Scheibe." J. Angew. Math., 40, 51-88 (in German).
3. Mindlin, R. D. (1951). "Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates." Am. Soc. of Mech. Engrs. (ASME), J. Appl. Mech., 18, 31-38.
4. Pasternak, P. L. (1954). "On a new method of analysis of an elastic foundation by means of two foundation constants." Gos. Izd. Lit. po Strait I Arkh, Moscow, Russia (in Russian).
5. Reddy, J. N. (1984a). Energy and variational methods in applied mechanics. John Wiley & Sons Inc., New York, N.Y.
6. Reddy, J. N. (1984b). "A simple higher-order theory for laminated composite plates." Trans., Am. Soc. of Mech. Engrs. (ASME), J. Appl. Mech., 51, 745-752.
7. Reddy, J. N. (1997). Mechanics of laminated composite plates: theory and analysis. CRC Press, Inc., Boca Raton, Fla.
8. Reissner, E. (1944). "On the theory of bending of elastic plates." J. Mathematical Phys., 23, 184-191.
9. Reissner, E. (1945). "The effect of transverse shear deformation on the bending of elastic plates." J. Appl. Mech., 12, 69-77.
10. Shen, H. S. (1995a). "Postbuckling of orthotropic plates on two-parameter elastic foundation." J. Engrg. Mech., ASCE, 121(1), 50-56.
11. Shen, H. S. (1995b). "Postbuckling analysis of moderately thick rectangular plates on two-parameter elastic foundations." Engrg. Struct., 17(7), 523-529.
12. Timoshenko, S. P., and Gere, J. M. (1961). Theory of elastic stability. McGraw-Hill, Inc., New York, N.Y.
13. Timoshenko, S. P., and Woinowsky-Krieger, S. (1959). Theory of plates and shells. McGraw-Hill, Inc., New York, N.Y.
14. Wang, C. M. (1995a). "Allowance for prebuckling deformations in buckling load relationship between Mindlin and Kirchhoff simply supported plates of general polygonal shape." Engrg. Struct., 17(6), 413-418.
15. Wang, C. M. (1995b). "Buckling of polygonal and circular sandwich plates." AIAA J., 33(5), 962-964.
16. Wang, C. M., Kitipornchai, S., and Xiang, Y. (1994). "Shear effect factor for Mindlin plate buckling." Res. Rep. No. CE147, The University of Queensland, Brisbane, Australia.
17. Xiang, Y., Wang, C. M., and Kitipornchai, S. (1994). "Exact vibration solution for initially stressed Mindlin plates on Pasternak foundation." Int. J. Mech. Sci., 36(4), 311-316.