A set of constitutive equations, valid for arbitrary linear bulk flows, is derived for a dilute suspension of nearly spherical, rigid particles which are subject to rotary Brownian couples. These constitutive equations are subsequently applied to find the resulting stress patterns for a variety of time-dependent bulk flow fields. The rheological responses are found to exhibit many of the same q...

(i) A study of the fluids in simple flow situations, such as those found in Rheometry. (ii) The construction of suitable constitutive equations for the non-Newtonian fluids under test. (iii) The use of these constitutive equations in the prediction of behavior in complex flows of practical importance. (iv) An experimental study of the behavior of non-Newtonian fluids in the complexflow situatio...

Soft living tissues deform freely under negligible stresses until a certain strain level is reached at which their stiffness increases sharply. Constitutive equations are developed that describe this kind of mechanical behavior and include Hooke's law as a limiting case. It is shown that, similar to Hooke's law, these constitutive equations assure uniqueness of solution for a broad class of bou...