Equilibrium of a Radially Symmetric Inhomogeneous Plate Under Tension and Load

[+] Author and Article Information
A. R. Pineda

Department of Chemical Engineering, Lafayette College, Easton, PA 18042

R. G. Root

Department of Mathematics, Lafayette College, Easton, PA, 18042

J. Appl. Mech 64(1), 233-236 (Mar 01, 1997) (4 pages) doi:10.1115/1.2787279 History: Received July 21, 1995; Revised August 30, 1996; Online October 25, 2007


This paper studies a mathematical model for small deflections of a radially symmetric strongly inhomogeneous elastic plate under a normal load and tension in the center plane. The type of inhomogeneity studied occurs in injection molded plastics. The model consists of a Dirichlet boundary value problem for a linear fourth-order ordinary differential equation. A general expression is derived for physically reasonable solutions under relatively broad restrictions on the inhomogeneity and load. The solutions are analyzed and interpreted in terms of their physical significance.

Copyright © 1997 by The American Society of Mechanical Engineers
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