The Contradicting Assumptions of Zero Transverse Normal Stress and Strain in the Thin Plate Theory: A Justification-Reference-Cited by-同舟云学术

The Contradicting Assumptions of Zero Transverse Normal Stress and Strain in the Thin Plate Theory: A Justification

Published:1999-11-06 Issue:4 Volume:68 Page:660-662
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Bhaskar and K.¹,Varadan T. K.¹

Affiliation:

1. Department of Aerospace Engineering, Indian Institute of Technology, Madras, Chennai 600 036, India

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/68/4/660/5468152/660_1.pdf

Reference7 articles.

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.

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