The Theory of Piecewise Linear Isotropic Plasticity

Experimental and constitutive model study of structural steel under cyclic loading

“…1), so uniaxial constitutive model of structure steel under cyclic loading plays a quite important role in structural seismic design and analysis. Currently, steel stress-strain relationship is commonly defined as bilinear or multi-linear models [5,6]. However, those methods cannot give a very accurate simulation on steel mechanical behavior under cyclic loading, which are shown in Fig.…”

A modification of Prager’s hardening rule

“…As to the hardening rule, there are mainly two versions in use. The rule of isotropic work-hardening given by Hill and Hodge [6,7] assumes that the yield surface expands during plastic flow, retaining its shape and situation with respect to the origin. Another rule, developed by Prager [8], assumes that the yield surface is rigid but undergoes a translation in the direction of the strain increment.…”