Simple shear deformation of rate type plastic materials with combined work-hardening

The simple shear deformations of the rate type plastic materials are theoretically analyzed and numerically calculated. The materials are endowed with the combined work-hardening which is analytically represented by a scalar and a tensor internal state variable. Two types of materials are treated, that is, the Prandtl-Reuss material with a generalized Huber-von Mises yield condition and the $\text{T}$ material with a generalized Tresca yield condition. The numerically evaluated loading-unloading phenomena of the materials are very similar with those of actual metal or plastics.