Objective decomposition of the stress tensor in granular flows.

A model for the stress tensor in granular flows [Volfson, Tsimring, and Aranson, Phys. Rev. Lett. 90, 254301 (2003)] is correctly generalized to an objective form that is independent of the coordinate system. The objective representation correctly models the isotropic and anisotropic parts of the stress tensor, whereas the original model for stress tensor components is dependent on the coordinate system. This general objective form of the model also relaxes the assumption in the original model that the principal axes of the granular stress tensor be coaxial with that of the "fluid" stress tensor. This generalization expands the applicability of the model to a wider class of granular flows. The objective representation is also useful in analyzing other models based on additive decomposition of the stress tensor in granular flows.