Boundary Layer Phenomena in Large Deflection, Small Strain Plate Theory

[+] Author and Article Information
L. J. Berg

ADSTAR, IBM Corporation, Rochester, MN 55901-7829

J. Appl. Mech 60(1), 229-232 (Mar 01, 1993) (4 pages) doi:10.1115/1.2900759 History: Received March 14, 1991; Revised December 30, 1991; Online March 31, 2008


Boundary layers exist at the edges of thin plates undergoing large deformations because the interior of the plate must assume a developable shape. The developable shape is sometimes incompatible with the force and moment resultants prescribed at the plate’s boundary, in particular when the edge of the plate is stress free. A boundary layer solution is presented which describes the shape of a boundary layer in a plate undergoing large deflections. The boundary layer is a slight perturbation of the interior shape which allows the appropriate boundary conditions to be satisfied. Since developable shells are applicable to a plane, the boundary layer is also appropriate for arbitrary developable shells.

Copyright © 1993 by The American Society of Mechanical Engineers
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