Circular Plates Loaded into the Plastic Region

by Leslie M. Lackman,

Serial Information: Journal of the Engineering Mechanics Division, 1964, Vol. 90, Issue 6, Pg. 21-30

Document Type: Journal Paper


A method is presented for calculating the stress field in symmetrically loaded circular plates that are stressed into the plastic region. Plastic strains and plastic gradients develop when the elastic limit of the material is exceeded. To calculate the stress field caused by the strain field, an analogy between plastic strain gradients and normal forces is applied. The incremental plastic strains are obtained by use of the Reuss-Mises incremental polyaxial inelastic stress-strain relationship. The method presented does not require iteration and may be extended to rectangular plates. The results of an example problem are included.

Subject Headings: Plates | Load factors | Plastics | Stress strain relations | Symmetry | Elastic analysis | Inelasticity

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