Relationships between classical and shear deformation theories of axisymmetric circular plates

AIAA Journal

Volumn 35, Issue 12, 1997, Pages 1862-1868

  Reddy, J N ^a   Wang, C M ^b  

^a Texas AandM University   (United States)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001182809     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.62     Document Type: Article

References (13)

1. Reddy, J. N., "A Simple Higher-Order Theory for Laminated Composite Plates," Journal of Applied Mechanics, Vol. 51, Dec. 1984, pp. 745-752.
2. Reddy, J. N., Mechanics of Laminated Composite Plates: Theory and Analysis, CRC Press, Boca Raton, FL, 1997, Chaps. 9 and 11.
3. Levinson, M., "A New Rectangular Beam Theory," Journal of Sound and Vibration, Vol. 74, No. 1, 1981, pp. 81-87.
4. Bickford, W. B., "A Consistent Higher Order Beam Theory," Developments in Theoretical and Applied Mechanics, Vol. 11, No. 1, 1982, pp. 137-150.
5. Reddy, J. N., Energy and Variational Methods in Applied Mechanics, Wiley, New York, 1984, Chap. 4.
6. Heyliger, P. R., and Reddy, J. N., "A Higher-Order Beam Finite Element for Bending and Vibration Problems," Journal of Sound and Vibration, Vol. 126, No. 2, 1988, pp. 309-326.
7. Wang, C. M., "Timoshenko Beam-Bending Solutions in Terms of Euler-Bernoulli Solutions," Journal of Engineering Mechanics, Vol. 121, No. 6, 1995, pp. 763-765.
8. Wang, C. M., and Lee, K. H., "Deflection and Stress-Resultants of Axisymmetric Mindlin Plates in Terms of Corresponding Kirchhoff Solutions," International Journal of Mechanical Sciences, Vol. 38, No. 11, 1996, pp. 1179-1185.
9. Reddy, J. N., Wang, C. M., and Lee, K. H., "Exact Relationships Between Bending Solutions of the Euler-Bernoulli Beam Theory and Shear Deformable Beam Theories," International Journal of Solids and Structures (to be published).
10. Szilard, R., Theory and Analysis of Plates, Prentice-Hall, Englewood Cliffs, NJ, 1974, Chap. 2.
11. Reddy, J. N., "On Locking-Free Beam Finite Elements," Computer Methods in Applied Mechanics and Engineering (to be published).
12. Reddy, J. N., Wang, C. M., and Lam, K. Y., "Unified Finite Elements Based on the Classical and Shear Deformation Theories of Beams and Axisymmetric Circular Plates," Communications in Numerical Methods in Engineering, Vol. 13, No. 6, 1997, pp. 495-510.
13. Reddy, J. N., An Introduction to the Finite Element Method, 2nd ed., McGraw-Hill, New York, 1993, Chap. 4.