Unsymmetrical Bending of Prestressed Annular Plates

by William E. Alzheimer,
R. T. Davis,

Serial Information: Journal of the Engineering Mechanics Division, 1968, Vol. 94, Issue 4, Pg. 905-918

Document Type: Journal Paper


The boundary layer technique of matched asymptotic expansions is used to obtain a solution for the deflection of a highly prestressed thin annular plate. The plate is fixed at the outer boundary and has a central rigid inclusion that is rotated out of the plane of the plate. The exact solution is also derived, and it is shown that the boundary layer solution compares favorably with the exact solution.

Subject Headings: Plates | Bending (structural) | Boundary layers | Displacement (mechanics) | Prestressing | Domain boundary | Rotation

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