A New Boundary Equation Solution to the Plate Problem

[+] Author and Article Information
J. T. Katsikadelis

Department of Civil Engineering, National Technical University of Athens, Athens, Greece

A. E. Armenàkas

Polytechnic University, New York, N.Y.

J. Appl. Mech 56(2), 364-374 (Jun 01, 1989) (11 pages) doi:10.1115/1.3176091 History: Received October 15, 1987; Revised July 12, 1988; Online July 21, 2009


A new boundary equation method is presented for analyzing plates of arbitrary geometry. The plates may have holes and may be subjected to any type of boundary conditions. The boundary value problem for the plate is formulated in terms of two differential and two integral coupled boundary equations which are solved numerically by discretizing the boundary. The differential equations are solved using the finite difference method while the integral equations are solved using the boundary element method. The main advantages of this new method are that the kernels of the boundary integral equations are simple and do not have hyper-singularities. Moreover, the same set of equations is employed for all types of boundary conditions. Furthermore, the use of intrinsic coordinates facilitates the modeling of plates with curvilinear boundaries. The numerical results demonstrate the accuracy and the efficiency of the method.

Copyright © 1989 by ASME
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