Refined Models of Anisotropic Plasticity

Abstract

Let us return to the classical models of anisotropic plasticity described in the Chapter 3. The physical approach presented in the last three chapters is much more complicated, but it enriched our knowledge on microstructural reasons of effects which could not be explained on the macroscopic level. Taking them into account, one can postulate some refined phenomenological models of advanced plastic yield observed during metal forming processes such as the sheet and wire drawing. The above approach is relatively simple mathematically and yet it is consistent with the physical plasticity of polycrystalline materials. Almost all of the proposed models are formulated for the case when a plastic yield is associated with the orthotopic texture and with the isotropic work-hardening expansion rule. Below we confine our considerations to the rigid-ideally plastic models, denoting the strain-rate tensor by D _ij , for simplicity.