2009/07/31 by Shuanhu Qi, Shuang Yang, Qi, Shuanhu +3
Chemical Engineering · Engineering · Materials Science · Physics and Astronomy · #Composite Material Mechanics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Polymer crystallization and properties #Rheology and Fluid Dynamics Studies #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.0907.5452
26 pages, 13 figures
arxiv created 2009/07/31 · openalex publication_date 2009/07/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Based on a modified expression of the rate of the convective constraint release, we present a new contour-variable model of constitutive equations in which the non-uniform segmental stretch and the non-Gaussian chain statistical treatment of the single chain are considered to describe the polymer chain dynamics and the rheological behavior of an entangled system composed of linear polymer chains. The constitutive equations are solved numerically in the cases of steady shear and transient start-up of steady shear. The results indicate that the orientation and stretch, as well as the tube survival probability, have strong dependence on the chain contour variable, especially in the high-shear-rate region. However, the inclusion of the non-uniform features in the constitutive models has little modification comparing with the uniform models in determining the rheological properties both qualitatively and quantitatively.