Inelastic Plate Buckling
Publication: Journal of Engineering Mechanics
Volume 136, Issue 9
Abstract
Current models to determine the local buckling stress of inelastic plates under in-plane loading are based on plastic deformation theory and semirational or empirical relationships. A successful flow theory describing inelastic local buckling of initially perfect plates needs to avoid two well-known pitfalls known as the “inelastic column buckling paradox” and the “plastic buckling paradox.” While the former problem, which found its origin in 1895 in Engesser’s double modulus approach, was resolved by Shanley in the late 1940s, a convincing solution of the plastic buckling paradox has not yet been presented. This paper proposes a modification to the flow theory which hinges on the determination of the shear stiffness from second-order considerations. A differential equation is derived which describes the incremental plate deformations at the inelastic local buckling load. The differential equation is studied for two cases of boundary conditions: a plate simply supported along four edges and a plate simply supported along three edges with one longitudinal edge free.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 136 • Issue 9 • September 2010
Pages: 1123 - 1130
Copyright
© 2010 ASCE.
History
Received: Jan 22, 2009
Accepted: Jul 22, 2009
Published online: Jul 27, 2009
Published in print: Sep 2010
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