The Earthquake Engineering Online Archive

Two material models for cyclic plasticity: nonlinear kinematic hardening and generalized plasticity

Auricchio, Ferdinando; Taylor, Robert L.

UCB/SEMM-1993/03, Dept. of Civil Engineering, University of California, Berkeley, 1993-02, 69 pages (500/C23/93/03)

Many finite implementations for plasticity use linear or piece-wise linear hardening rules, which do not lead to accurate representations of experiments on real materials, especially under cyclic loading conditions. To generate more realistic constitutive models, a nonlinear stress-strain relation is needed. Two different methods are presented to achieve this goal. The first is based on a nonlinear kinematic hardening mechanism; the second on a nonlinear plastic strain constitutive equation, as given by a generalized plasticity model. The two models are reviewed and discussed from both a continuous and a discrete time point of view. Numerical examples for uni-axial and multi-axial (tension-shear) cyclic loading condition under displacement and load control are presented.

Available online: http://nisee.berkeley.edu/documents/SEMM/SEMM-93-03.pdf (2 MB)