Finite deformation plasticity and viscoplasticity laws exhibiting nonlinear hardening rules Part II: Representative examples

We consider two finite deformation plasticity models, which differ mainly i n the evolution equation governing the response of kinematic hardening. Bot h models reduce to the same constitutive law in the case of small deformati ons. The aim of the paper is to discuss these models by calculating the pre dicted responses for some representative loading conditions. The numerical calculations needed are performed by using an efficient time-integration al gorithm which has been developed with a view to implementation in the ABAQU S finite element code. Generally, there are some differences between the predicted responses and i n particular between the second-order effects predicted by the two models. For some simple deformation processes, e.g. simple shear and simple torsion , the differences concerning second-order effects exhibit some kind of regu larities, which are independent of material parameters. Also, even if bound ary value problems are considered where global deformations are small, sign ificant differences can exist between the predicted model responses accordi ng to the finite deformation and the limiting small deformation theory.