Buckling of Unilaterally Constrained Infinite Plates
Publication: Journal of Engineering Mechanics
Volume 124, Issue 2
Abstract
The problem of finding the buckling load of unilaterally constrained infinite plates is considered. The plates are modeled along the lines of classical plate theory employing Kirchhoff-Love hypotheses. The condition of contact at buckling, which renders the problem to be of the nonlinear eigenvalue type, is resolved by modeling the plate as having two distinct regions, a contacted and an uncontacted region. This results in a problem of the linear eigenvalue type. Simply supported and clamped-free boundary conditions on the unloaded edges are considered. An exact solution for the case of a simply supported plate resting on a rigid foundation is derived. Plates made up of isotropic as well as different orthotropic materials are examined. Due to the constraint on the deformation being one-sided, an increase in the buckling load of approximately 30% over the unconstrained situation is obtained. This study clearly shows that the neglect of unilateral constraints in a plate buckling problem can lead to inaccurate results, which in turn will lead to poor estimates, for example, in assessing the residual compressive stiffness of delaminated plates.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 124 • Issue 2 • February 1998
Pages: 127 - 136
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Feb 1, 1998
Published in print: Feb 1998
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