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Finite Deflection of Plates

In: Fundamental Solutions for Differential Operators and Applications

Author

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  • Prem K. Kythe

    (University of New Orleans, Department of Mathematics)

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.

Suggested Citation

  • Prem K. Kythe, 1996. "Finite Deflection of Plates," Springer Books, in: Fundamental Solutions for Differential Operators and Applications, chapter 12, pages 292-306, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-4106-5_13
    DOI: 10.1007/978-1-4612-4106-5_13
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