Micromechanical models for the instantaneous elastic stress tensor tau
of ''film fluids,'' i.e., fluids with internal interfaces such as foa
ms, emulsions, and immiscible blends, yield formulas that are similar
to each other and are well approximated simply by tau proportional to
C-1/2, where C is the Cauchy strain tenser. This expression can be der
ived as an approximation by assuming that the interfaces deform affine
ly and that the tension in the interface is independent of the deforma
tion. The expression tau proportional to C-1/2 is, therefore, the anal
og of the classical expression tau proportional to C-1 for the instant
aneous elastic stress in polymeric ''line fluids.'' The second normal
stress difference of a ''film fluid'' is predicted to be negative and
of comparable magnitude to the first normal stress difference. (C) 199
7 The Society of Rheology.