Single crystal plasticity theories predicting bounded lattice rotation under simple shear deformation

Abstract

Up to now, models for single crystal plasticity predict unbounded lattice rotations under simple shear. Asaro et al. proposed a model that predicts bounded rotations as long as the viscosity parameters are appropriately chosen. In every case, ideal plasticity models imply unbounded lattice rotations. Hence, it leads to the question whether one can develop a single crystal plasticity theory exhibiting hardening effects, which can predict bounded lattice rotations dependent on the choice of the hardening parameters. It is shown that this is possible by assuming latent hardening to apply.

Keywords

• crystal plasticity
• crystal rotation
• kinematic hardening
• lattice rotation