  In recent years, the paradigm of `soft glassy matter' has been used to
describe diverse nonergodic materials exhibiting strong local disorder and slow
mesoscopic rearrangement. As so far formulated, however, the resulting `soft
glassy rheology' (SGR) model treats the shear stress in isolation, effectively
`scalarizing' the stress and strain rate tensors. Here we offer generalizations
of the SGR model that combine its nontrivial aging and yield properties with a
tensorial structure that can be specifically adapted, for example, to the
description of fluid film assemblies or disordered foams.
