Unilaterally Supported Plates on Elastic Foundations by the Boundary Element Method

[+] Author and Article Information
E. J. Sapountzakis, J. T. Katsikadelis

Department of Civil Engineering, National Technical University of Athens, Zografou Campus, GR 157 73, Greece

J. Appl. Mech 59(3), 580-586 (Sep 01, 1992) (7 pages) doi:10.1115/1.2893763 History: Received September 29, 1990; Revised January 20, 1991; Online March 31, 2008


A boundary element solution is developed for the unilateral contact problem of a thin elastic plate resting on elastic homogeneous or nonhomogeneous subgrade. The reaction of the subgrade may depend linearly, or nonlinearly, on the deflection of the plate. The contact between the plate and the subgrade is unbonded. The subgrade surface is not necessarily plane, and miscontact between plate and subgrade due to initial gaps is also encountered. The solution procedure is based on the integral representation of the deflection for the biharmonic equation in which the unknown subgrade reaction is treated as loading term. The effectiveness of the proposed method is illustrated by several examples.

Copyright © 1992 by The American Society of Mechanical Engineers
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