A Free Boundary Value Problem in Plate Theory

[+] Author and Article Information
P. Villaggio

Istituto di Scienza delle Costruzioni dell’ Università di Pisa, 56100 Pisa, Italy

J. Appl. Mech 50(2), 297-302 (Jun 01, 1983) (6 pages) doi:10.1115/1.3167035 History: Received March 01, 1981; Revised August 01, 1982; Online July 21, 2009


In this paper the equilibrium configuration of a thin rectangular plate, supported on an elastic foundation that reacts in compression only, is studied. It is assumed that the foundation is described by the Winkler model in the contact region. The plate is supposed to be weightless and subjected to a concentrated load in its midpoint. The shape of the free boundary, where the plate loses contact with the foundation, is determined.

Copyright © 1983 by ASME
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