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New Look at Kirchhoff's Theory of Plates

Vijayakumar, K (2009) New Look at Kirchhoff's Theory of Plates. In: AIAA Journal, 47 (4). pp. 1045-1050.

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KIRCHHOFF’S theory [1] and the first-order shear deformation theory (FSDT) [2] of plates in bending are simple theories and continuously used to obtain design information. Within the classical small deformation theory of elasticity, the problem consists of determining three displacements, u, v, and w, that satisfy three equilibrium equations in the interior of the plate and three specified surface conditions. FSDT is a sixth-order theory with a provision to satisfy three edge conditions and maintains, unlike in Kirchhoff’s theory, independent linear thicknesswise distribution of tangential displacement even if the lateral deflection, w, is zero along a supported edge. However, each of the in-plane distributions of the transverse shear stresses that are of a lower order is expressed as a sum of higher-order displacement terms. Kirchhoff’s assumption of zero transverse shear strains is, however, not a limitation of the theory as a first approximation to the exact 3-D solution.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to American Institute of Aeronautics and Astronautics.
Keywords: High-angle;Cylinder;Attack;Flow
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Depositing User: Manjula Kadadallimath
Date Deposited: 03 Feb 2010 10:16
Last Modified: 03 Feb 2010 10:16
URI: http://eprints.iisc.ac.in/id/eprint/19996

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