A Flexible Rectangular Plate on an Elastic Layer: Large Area Contact

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

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

J. Tribol 111(3), 518-524 (Jul 01, 1989) (7 pages) doi:10.1115/1.3261960 History: Received June 21, 1988; Online October 29, 2009


The unbonded frictionless receding contact problem of a symmetrically loaded thin rectangular plate resting on an elastic layer is solved in this paper. The contact is assumed to be tensionless. The problem is transformed into the solution of three coupled two-dimensional singular integral equations. The possible contact pressure singularities along the plate edges and at the corners are treated using adaptive discretization. The contact regions are found iteratively since the problem is nonlinear. Contact regions and numerical values of displacements and contact pressures are presented to illustrate the influences of uplift, layer depth, aspect ratio, stiffness ratio, Poisson’s ratio, and other quantities.

Copyright © 1989 by ASME
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