The Earthquake Engineering Online Archive

A Bending Analysis of Elastic-Plastic Circular Plates

Popov, Egor P.; Khojasteh-Bakht, Mahmoud; Yaghmai, Saeed

UCB/SESM-1966/04, Dept. of Civil Engineering, University of California, Berkeley, 1966-04, 150 pages (500/C23/66/04)

The problem of elastic-plastic bending of circular plates with axi-symmetric loading and support conditions is studied. Incremental theory of plasticity with von Mises yield condition and associated flow rule together with the Kirchhoffean small deformation theory of plates have been adopted. Finite element type of approach using direct stiffness method of matrix analysis of structures was employed. An annular plate is taken as the primary element which is subdivided along its depth into a number of layers. Material properties are assigned to each layer and stiffness matrix of the element is established. Loadings are applied in increments. The effect of change of material properties within each increment of loading, number of elements and number of layers have been studied. Examples of simply supported and clamped circular plates made of elastic-perfectly-plastic as well as elastic-plastic with isotropic strain hardening materials are given.

Available online: http://nisee.berkeley.edu/documents/SEMM/SEMM-66-04.pdf (4 MB)