Development of Boundary Layer in Buckled Plates

by Ernest F. Masur,
C. H. Chang,

Serial Information: Journal of the Engineering Mechanics Division, 1964, Vol. 90, Issue 2, Pg. 33-50

Document Type: Journal Paper

Abstract: The postbuckling behavior of rectangular plates with two opposite edges free is studied. It is shown that classical plate theory leads to the development of boundary layers along the free edges. Although the remainder of the plate assumes a state of constant finite uniaxial compression, the boundary layers exhibit axial stresses that, in the limit, approach infinity. The nature of these boundary layers and their relationship to the effect of shear deformation is investigated. It is shown how variational principles can be used in the establishment of boundary conditions that are consistant with the differential equations associated with the various terms in an asymptotic perturbation expansion.

Subject Headings: Plates | Boundary layers | Axial forces | Shear deformation | Post buckling | Compression | Boundary shear | Boundary conditions

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