Unbonded Contact of a Square Plate on an Elastic Half-Space or a Winkler Foundation

[+] Author and Article Information
Hui Li, J. P. Dempsey

Department of Civil and Environmental Engineering, Clarkson University, Potsdam, NY 13676

J. Appl. Mech 55(2), 430-436 (Jun 01, 1988) (7 pages) doi:10.1115/1.3173694 History: Received July 14, 1987; Revised December 14, 1987; Online July 21, 2009


The unbonded frictionless receding contact problem of a thin plate placed under centrally symmetric vertical loading while resting on an elastic half-space or a Winkler foundation is solved in this paper. The problem is transformed into the solution of two-coupled integral-series equations over an unknown contact region. The problem is nonlinear by virtue of unilateral contact and therefore needs to be solved iteratively. Special attention is given to the edge and corner contact pressure singularities for the plate on the elastic half-space. Comparison is made with other relevant numerical results available.

Copyright © 1988 by ASME
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