The analysis of shear banding with a dislocation based gradient plasticity model

A microstructural approach to the incorporation of gradient terms in a single crystal plasticity theory is discussed. A di€usion term that represents cross-slip of dislocations is included in the evolution equations for dislocation densities. A coupling between microscale and macroscale is provided by the dislocation based gradient plasticity model. An algorithmic treatment of the model is given. The e€ect of the di€usion-like term in the constitutive relation on the resulting formation of localized shear modes is studied. An analysis of a plane strain strip in tension oriented for multiple slip is presented. The e€ect of the dislocation `di€usivityʹ on the shear band thickness is analysed