Elastic Plastic Bending of Circular Plates

by Narendra K. Srivastava, Res. Assoc.; Univ. of Waterloo, Canada; presently Professeur agrégé, Dépt de Génie, Univ. de Moncton, Moncton, N.-B. Canada,
Archibald N. Sherbourne, Prof. of Civ. Engrg. and Dean of Engrg.; Univ. of Waterloo, Ontario, Canada; currently CIDA Visiting Prof., Fac. of Engrg., Univ. of West Indies, Trinidad, WI,

Serial Information: Journal of the Engineering Mechanics Division, 1971, Vol. 97, Issue 1, Pg. 13-31

Document Type: Journal Paper


An approximate analysis is presented for the elastic-plastic bending of a moderately thick plate at large deflection. The analysis is carried out on a simplified model representing the solid plate, and behavior is examined through several stages starting from the linear elastic range of pure bending and terminating at collapse as a plastic membrane. The theoretical work is compared against experimental data obtained by testing plates under uniform static loading in a specially designed pressure cell. The investigation is restricted initially to the problem of a plate with edges pinned yet free to move in the plane of the plate. In a sense, this investigation is complementary to previous upper bound, post-collapse analyses of plates carried out in the spirit of plastic-rigid, large deflection theory.

Subject Headings: Elastoplasticity | Elastic analysis | Bending (structural) | Plates | Plastic analysis | Displacement (mechanics) | Linear analysis | Plastics

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