Models Rolie-Poly model

Other examples of macroscopic constitutive equations employed for describing polymer rheology and mechanics include conformation tensor models as well as the more recently proposed Pom-Pom and Rolie-Poly models. Most of these approaches have been inspired by simple mechanical models of polymers. 

Phase Few FIC models distinguish between precursors and nuclei. One of these was developed by Steenbakkers and Peters [135], based on the hypothesis that flow accelerates the sporadic creation of precursors. These authors found that the increase of the number density of spherufites, after short-term shear flows with different rates and durations, was captured very well by a dependence of 7/ on the stretch A of the HMW fraction of the melt, calculated by the Rolie-Poly model [165]. A power law with exponent 4 was found, as shown in Table 14.1. This is a refinement of the work of Zuidema et al. [19], where 7/ depended on the second invariant of the deviatoric part of the elastic Finger tensor Both are related according to... 

Villani, M., Benedettini, S., Roli, A., Lane, D., Poli, I., Serra, R. Identifying emergent dynamical structures in network models. In Bassis, S., Esposito, A., Morabito, F.C. (eds.) Recent Advances of Neural Networks Models and Applications. SIST, vol. 26, pp. 3-13. Springer, Heidelberg (2014)... 

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