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A generalized elasto-plastic plate theory and its algorithmic implementation

Auricchio, Ferdinando; Taylor, Robert L.

UCB/SEMM-1993/04, Dept. of Civil Engineering, University of California, Berkeley, 1993-04, 47 pages (500/C23/93/04)

A generalized plasticity plate model is proposed for thin bodies, such as plates or shells. The method can be used to reproduce in a two-dimensional setting some of the three-dimensional effects. The continuous and discrete time models are presented, including both isotropic and kinematic hardening mechanisms; moreover, the form of the tangent matrix consistent with the discrete model is addressed. Finally, some examples (cantilever beam, clamped circular plate, and clamped square plate under monotonic and cyclic loading) are studied numerically using a three-dimensional classical plasticity theory, a classical plasticity plate theory, and the proposed plate theory.

Available online: http://nisee.berkeley.edu/documents/SEMM/SEMM-93-04.pdf (2 MB)