Two-state shear diagrams for complex fluids in shear flow

The possible "phase diagrams" for shear-induced phase transitions between t wo phases are collected. We consider shear-thickening and shear-thinning fl uids, under conditions of both common strain rate and common stress in the two phases, and present the four fundamental shear stress vs, strain rate c urves and discuss their concentration dependence. We outline how to constru ct more complicated phase diagrams, discuss in which class various experime ntal systems fall, and sketch how to reconstruct the phase diagrams from rh eological measurements.