TECHNICAL NOTES
May 1, 1999

Deducing Buckling Loads of Sectorial Mindlin Plates from Kirchhoff Plates

Publication: Journal of Engineering Mechanics
Volume 125, Issue 5

Abstract

This study presents a relationship between the buckling loads of sectorial plates based on the Kirchhoff (or classical thin) plate theory and the Mindlin plate theory. Whereas the former plate theory neglects the effect of transverse shear deformation, the latter plate theory allows for it. This effect becomes significant when dealing with moderately thick plates and sandwich plates. The relationship allows easy and accurate deduction of the buckling loads of the Mindlin plates from their corresponding Kirchhoff solutions.

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References

1.
Harik, I. E. ( 1985). “Stability of annular sector plates with clamped radial edges.” J. Appl. Mech., 52, 971–972.
2.
Mindlin, R. D. ( 1951). “Influence of rotary inertia and shear in flexural motion of isotropic, elastic plates.” J. Appl. Mech., 18, 31–38.
3.
Reissner, E. ( 1945). “The effect of transverse shear deformation on the bending of elastic plates.” J. Appl. Mech., 12, 69–77.
4.
Rubin, C. ( 1978). “Stability of polar orthotropic sector plates.” J. Appl. Mech., 45, 448–450.
5.
Wang, C. M. ( 1995). “Buckling of polygonal and circular sandwich plates.”AIAA J., 33(5), 962–964.
6.
Wang, C. M., Xiang, Y., Kitipornchai, S., and Liew, K. M. ( 1994). “Buckling solutions for Mindlin plates of various shapes.” Engrg. Struct., 16(2), 119–127.
7.
Xiang, Y., Liew, K. M., and Kitipornchai, S. (1993). “Transverse vibration of thick annular sector plates.”J. Engrg. Mech., ASCE, 119(8), 1579–1599.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 125Issue 5May 1999
Pages: 596 - 598

History

Published online: May 1, 1999
Published in print: May 1999

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Member, ASCE,
Assoc. Prof., Dept. of Civ. Engrg., The National Univ. of Singapore, Kent Ridge, Singapore 119260. E-mail: [email protected]
Lect., School of Civic Engrg. and Envir., Univ. of Western Sydney Nepean, Kingswood, Australia 2747.

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