Shear banding in strain hardening polycrystals during rolling (Q1369371)

The authors model, in terms of crystallographic texture, initiation and development of shear band during rolling. The constitutive law of material is written by using a texture-dependent normalized yield surface and the critical shear stress which evolves with strain. It is shown that a rounded vertex develops at the loading point as the rolling texture becomes more and more marked. The authors establish that the normalized curvature radius of the rounded vertex decreases from unity towards zero at very large strains. This implies that a small stress perturbation induces a shear strain perturbation with large orientation deviation of deformation. Development of shear band is analysed by solving the derived governing equations of shear banding. The authors show that the conditions for shear band initiation and for saturation of shear localization depend strongly on the texture. This model allows a better understanding of the effects of yield surface curvature and yield surface rotation in their general form.