The need and validity of the contradicting assumptions of zero transverse normal stress and the corresponding strain in the classical plate theory are critically examined here. This is done by studying the relative magnitudes of these quantities with respect to other stresses and strains for a test problem amenable to an exact elasticity solution.
Issue Section:
Brief Notes
1.
Timoshenko, S. P., and Woinowsky-Krieger, S., 1959, Theory of Plates and Shells, McGraw-Hill, Tokyo.
2.
Varadan, T. K., and Bhaskar, K., 1999, Analysis of Plates—Theory and Problems, Narosa Publishing House, Delhi.
3.
Timoshenko, S. P., 1953, History of Strength of Materials, McGraw-Hill, New York.
4.
Epstein
, P. S.
, 1942
, “On the Theory of Elastic Vibrations in Plates and Shells
,” J. Math. Phys., (Mass. Inst. Tech.)
, 21
, pp. 198
–209
.5.
Iyengar
, K. T. S.
, Chandrashekhara
, K.
, and Sebastian
, V. K.
, 1974
, “On the Analysis of Thick Rectangular Plates
,” Ing. Arch.
, 43
, pp. 317
–330
.6.
Widera
, O. E.
, 1970
, “An Asymptotic Theory for the Motion of Elastic Plates
,” Acta Mech.
, 9
, pp. 54
–66
.7.
Srinivas
, S.
, Rao
, A. K.
, and Joga Rao
, C. V.
, 1969
, “Flexure of Simply Supported Thick Homogeneous and Laminated Rectangular Plates
,” Z. Angew. Math. Mech.
, 49
, No. 8
, pp. 449
–458
.Copyright © 2001
by ASME
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