A Refined Theory of Moderately Thick Plates According to Exposition of the Classical Technical Theories, Theoretical Aspects

Article Preview

Abstract:

In this paper we propose a new refined shear deformation plate theory. This theory possesses a series of desirable features, the most salient of which areas follows: (i) The loads, which are usually considered to be applied on the middle surface of the plate, are applied in this new theory on the top surface of the plate; (ii) The equations deduced provide the same order of accuracy as several theories with second order shear deformation effects; (iii) It constitutes a theory, in the sense defined by Love, since it gives easy expressions for application to problems in different fields in architecture and engineering.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

822-829

Citation:

Online since:

July 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] A.E. H Love, A Treatise on the Mathematical Theory of Elasticity, Dover Publications, New York, USA (1944).

Google Scholar

[2] E. Reissner, The effect of transverse shear deformation on the bending of elastic plates, ASME J. Appl. Mech. 12 (1945) 68–77.

Google Scholar

[3] R.D. Mindlin, Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates, ASME J. Appl. Mech. 18 (1951) 31–38.

DOI: 10.1115/1.4010217

Google Scholar

[4] H. Hencky, Über die Berücksichtigung der Schubverzerrungen in ebenen Platten Ing, Ing. -Arch. 16 (1947).

DOI: 10.1007/bf00534518

Google Scholar

[5] H. Reisman, Elasticity: Theory and Applications, John Wiley, New York, USA, (1980).

Google Scholar

[6] L.H. Donnell, Beams, Plates and Shells, McGraw-Hill, New York, USA, (1976).

Google Scholar

[7] A. Kromm, Verallgemeinertetheorie der plattenstatik, Ing. -Arch. 21 (1953).

Google Scholar

[8] V. Panc, Theories of Elastic Plates, Noordhoff International Publishing, (1975).

Google Scholar

[9] A.K. Muhammad, M.H. Baluch and A.K. Azad, Generalized Theory for Bending of Thick Plates. Advances in the Theory of Plates and Shells, Elsevier Science Publishers B.V., Amsterdam, The Netherlands, (1990).

DOI: 10.1016/b978-0-444-88366-7.50007-5

Google Scholar

[10] G.Z. Voyiaddjis and D. Karamanlidis, Advances in the Theory of Plates and Shells, Elsevier Science Publishers B.V., Amsterdam, The Netherlands, (1990).

Google Scholar

[11] R. Kienzler, On consistent second-order plate theories, Lect. Notes Appl. Comput. Mech. 16 (2004) 85–96.

Google Scholar

[12] J.M. Martinez Valle, Equations transformed and expanded for a general study of isotropic plates with the Bolle-Reissner theory as a starting point in: Proc. 10th World Congr. Computational Mechanics, Sao Paulo Brasil, (2012).

DOI: 10.5151/meceng-wccm2012-18875

Google Scholar

[13] S. Timoshenko and S. Woinowski, The Theory of Plates and Shells, McGraw-Hill, (1959).

Google Scholar