Finite Deflection of Plates

Prem K. Kythe
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Prem K. Kythe: University of New Orleans, Department of Mathematics

Chapter 12 in Fundamental Solutions for Differential Operators and Applications, 1996, pp 292-306 from Springer

Abstract: Abstract The deformation due to in-plane displacements and bending of thin isotropic plates is described by a two-dimensional stress equation and the biharmonic equation (see §5.7) respectively, under the following assumptions: (i) The faces of the plate are free of applied loads; (ii) all external surface forces act on the edge of the plate; and (iii) the forces acting on the edge lie in the (x 1, x 2)–plane which is taken to coincide with the surface of the plate, and are symmetrically distributed with respect to this plane. Thus, the points of the (x 1,x 2)–plane undergo no displacement in the x 3–direction, where (x 1 , x 2 , x 3 ) denotes the rectangular cartesian coordinate system.

Date: 1996
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DOI: 10.1007/978-1-4612-4106-5_13

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