ONE-DIMENSIONAL PLASTIC MATERIALS WITH WORK-HARDENING .1. CONSTITUTIVE EQUATIONS AND STRESS-STRAIN RELATIONS

A one-dimensional plastic material is proposed which shows isotropic and translational work-hardening. The tangential moduli of the stress and two internal state variables with respect to the strain are assumed to be functions of the stress and the internal state variables. Five constitutive assumptions are made and the resulting constitutive equations are similar to the equations of a three-dimensional rate-type plastic material in the case of uniaxial stress extension. © 1979 Sijthoff & Noordhoff International Publishers.