Edge Effect in the Bending of Inextensible Plates

[+] Author and Article Information
E. N. Kuznetsov

Department of General Engineering, University of Illinois, Urbana, Ill. 61801

J. Appl. Mech 49(3), 649-651 (Sep 01, 1982) (3 pages) doi:10.1115/1.3162546 History: Received June 01, 1981; Revised January 01, 1982; Online July 21, 2009


In the uniaxial bending of an elastic plate, a boundary layer develops along each free edge in the form of a small ripple in the deformed midsurface. The layer provides a smooth transition from the zero transverse bending moment at the edge to the required value in the plate interior. For an inextensible plate, the formation of this type of a boundary layer is impossible. An alternative mechanism for providng this transition is identified and investigated.

Copyright © 1982 by ASME
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