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.
The Contradicting Assumptions of Zero Transverse Normal Stress and Strain in the Thin Plate Theory: A Justification
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, May 10, 1999; final revision, Nov. 6, 1999. Associate Editor: J. W. Ju.
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Bhaskar and , K., and Varadan , T. K. (November 6, 1999). "The Contradicting Assumptions of Zero Transverse Normal Stress and Strain in the Thin Plate Theory: A Justification ." ASME. J. Appl. Mech. July 2001; 68(4): 660–662. https://doi.org/10.1115/1.1352061
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