A non-affine transient network model

A new formulation of non-affine motion for the network model is proposed an d its applications are presented in this manuscript. The major improvement is that a finite elongational viscosity is predicted for finite elongationa l rates contrary to the infinite elongational viscosities existing at some elongational rates predicted by previous network models. Comparisons with e xperimental data of the shear viscosity normal stress coefficient and elong ational viscosity are given, in terms of the same set of model parameters. Model predictions for the stress growth are also shown.