Rheological behavior of polymer melts and concentrated solutions - Part V:A new molecular theory of non-linear viscoelasticity for polymeric suspensions

A double-network model is established, which consists of the segments, E an d A-constituent chains, the polymeric chains entangled with other ones by m ulti-entanglement and polymeric chains connected to a great number of destr uctible particles by multi-adsorption, based on which the E and A-constitue nt chains can be recreated and released dynamically. The distribution funct ion of the end-to-end vector, the statistical distribution function of conf ormation for two kinds of chains in the multi-entanglement and multi-adsorp tion states and their number of polymeric chains are calculated by the comb ination of statistical mechanics and kinetics. Then the viscoelastic free e nergies of deformation for two kinds of the networks and suspensions are ca lculated by Boltzmann's statistical theory. Also, elastic modulus and memor y function for two kinds of the network and suspensions are derived. Conseq uently, a new molecular theory df the non-linear viscoelasticity for polyme ric suspensions is proposed, and the constitutive equation and material fun ction with yielding and thinning for the polymeric suspensions in different flow fields are derived from this theory.