The Buckling of an Elastic Layer Bonded to an Elastic Substrate in Plane Strain

[+] Author and Article Information
T. W. Shield

Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455

K. S. Kim

Division of Engineering, Brown University, Providence, RI 02912

R. T. Shield

Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, IL 61801

J. Appl. Mech 61(2), 231-235 (Jun 01, 1994) (5 pages) doi:10.1115/1.2901434 History: Received August 01, 1991; Revised May 12, 1993; Online March 31, 2008


The solution for buckling of a stiff elastic layer bonded to an elastic half-space under a transverse compressive plane strain is presented. The results are compared to an approximate solution that models the layer using beam theory. This comparison shows that the beam theory model is adequate until the buckling strain exceeds three percent, which occurs for modulus ratios less than 100. In these cases the beam theory predicts a larger buckling strain than the exact solution. In all cases the wavelength of the buckled shape is accurately predicted by the beam model. A buckling experiment is described and a discussion of buckling-induced delamination is given.

Copyright © 1994 by The American Society of Mechanical Engineers
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