The Reuss Bound of the Strain Rate Potential of Viscoplastic FCC Polycrystals

Abstract

The Reuss bound of the strain rate potential of face-centered cubic polycrystals without texture is numerically determined for all types of stress states. The numerical results indicate a strong dependence of the potential on the determinant of the stress deviator. This dependence implies that the viscoplastic f low is not proportional to the stress deviator. A simple analytical expression is found, which  reproduces the numerical f indings over a wide range of strain rate sensitivities.