Year: 2010
Author: Aleksey D. Drozdov, Erik A. Jensen, Jesper deClaville Christiansen
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 1 : pp. 1–31
Abstract
Observations are reported on thermoplastic elastomer (ethylene-octene copolymer) melt in small-amplitude shear oscillatory tests and start-up shear tests with various strain rates in the interval of temperatures between 120 and 210 $^{\circ}$C. Based on the concept of heterogeneous non-affine polymer networks, constitutive equations are developed for the thermo-mechanical behavior of a melt at three-dimensional deformations with finite strains. Adjustable parameters in the stress-strain relations are found by fitting the experimental data. The model is applied to the analysis of Poiseuille flow. The effects of temperature and pressure gradient on the steady velocity profile are studied numerically.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.09-m0938
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 1 : pp. 1–31
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 31
Keywords: Non-affine polymer network thermo-viscoelasticity elastomer melt constitutive model Poiseuille flow.
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