Universal States in Nematic Elastomers
Wednesday, September 29, 2004 - 11:00am - 11:50am
Eliot Fried (University of Illinois at Urbana-Champaign)
For a particular material model, a state that can be maintained in equilibrium for by the action of surface tractions alone is called controllable. If a state is controllable for all material models in a particular class, that state is called universal. Universal states are of central importance in the design of experiments for the determination of constitutive relations, as such experiments should not be based on specific model expressions but, rather, should produce states sustainable by the full range of material models belonging to a broadly relevant class. Universal states have been used with benefit for the study of elastomeric solids, viscoelastic fluids, and uniaxial nematic liquid crystals. In addition to background material, this talk will discuss recent results and open problems related to universal states in nematic elastomers.