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- W2024553224 abstract "HE elastic behavior of a rectangular orthotropic plate has been studied by a few authors making use of the von Karmantype large deflection theory. Yusuff1 has considered the postbuckling of the plate under edge compression using Fourier series for both deflection and stress function. The large deflection of the plate under lateral load has been treated by Basu and Chapman.2 Aalami and Chapman3 have also looked at the problem of the plate under transverse and in-plane loads. In the last two studies the finite-difference technique has been used and the solutions have been restricted to a special class of orthotropic materials. The present investigation is concerned with the large deflection behavior of a rectangular anisotropic plate with clamped edges. The classical nonlinear theory of elastic plates is applied to the present problem. Hence the classical assumptions for displacements, the strain-displacement relations associated with the von Karman assumptions, and the equations of equilibrium are the same as in the theory. The material properties or Hooke's law can be introduced at the final stage of the formulation of the governing differential equations. These equations are then solved by the method of perturbation. 4 Because of lack of available solutions for large deflections of anisotropic plates in literature, the present solution is specified for certain special cases and then compared with existing solutions. Contents Let us consider a rectangular plate of length 2a in the x direction, width 2b in the y direction, and thickness h in the z direction under a uniformly distributed load q per unit area. The origin of the coordinate system is chosen to coincide with the center of the midplane of the undeformed plate. The stressstrain relations for a thin homogeneous anisotropic plate may be written as" @default.
- W2024553224 created "2016-06-24" @default.
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- W2024553224 date "1972-11-01" @default.
- W2024553224 modified "2023-10-16" @default.
- W2024553224 title "Finite Deflections of Uniformly Loaded, Clamped, Rectangular, Anisotropic Plates" @default.
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- W2024553224 doi "https://doi.org/10.2514/3.50383" @default.
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