'Atypical' applications of Bingham like material models (other than mud that is) have come across are continuum damage mechanics analyses (Bingham matrix), in which the mixture is in a sense heterogeneous, but in another not (inclusions etc. stuff in a viscoplastic metallic matrix). A related application is that of 'simple' viscoplasticity, where think the material models of Bingham kind have at least some merit (meaning in 'traditional' materials as well).