Rheological behavior for polymer melts and concentrated solutions Part VII: A quantitative verification for the molecular theory of non-linear viscoelasticity with entanglement constraints in polymer melts

Based on the molecular theory of non-linear viscoelasticity with constraine d entanglements in polymer melts, the material functions in simple shear fl ow were formulated, the theoretical relations between. eta((gamma) over dot ), psi (10)((gamma) over dot) and shear rate ((gamma) over dot), and topolo gically constrained dimension number n ' and a were derived. Linear viscoel astic parameters (eta (0) and G(N)(0)) and topologically constrained dimens ion number (n ' a and <(<upsilon>)over bar>) as a function of the primary m olecular weight (M-n), molecular weight between entanglements (M-C) and the entanglement sites sequence distribution in polymer chain were determined. A new method for determination of viscoelastic parameters (eta (0), psi (1 0), G(N)(0) and J(e)(0)), topologically constrained dimension number (n ', a and v) and molecular weight (M-n, M-c and M-e) from the shear flow measur ements was proposed. It was used to determine those parameters and structur es of HDPE, making a good agreement between these values and those obtained by other methods. The agreement affords a quantitative verification for th e molecular theory of nonlinear viscoelasticity with constrained entangleme nt in polymer melts.