Volume 2, Issue 1
Nonlinear Viscoelastic Response of Thermoplastic-Elastomer Melts

Aleksey D. Drozdov, Erik A. Jensen & Jesper deClaville Christiansen

Adv. Appl. Math. Mech., 2 (2010), pp. 1-31.

Published online: 2010-02

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  • 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.

  • Keywords

Non-affine polymer network, thermo-viscoelasticity, elastomer melt, constitutive model, Poiseuille flow.

  • AMS Subject Headings

74A20, 76A10, 76D07

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-2-1, author = {}, title = {Nonlinear Viscoelastic Response of Thermoplastic-Elastomer Melts}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2010}, volume = {2}, number = {1}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.09-m0938}, url = {http://global-sci.org/intro/article_detail/aamm/198.html} }
TY - JOUR T1 - Nonlinear Viscoelastic Response of Thermoplastic-Elastomer Melts JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 1 EP - 31 PY - 2010 DA - 2010/02 SN - 2 DO - http://doi.org/10.4208/aamm.09-m0938 UR - https://global-sci.org/intro/article_detail/aamm/198.html KW - Non-affine polymer network, thermo-viscoelasticity, elastomer melt, constitutive model, Poiseuille flow. AB -

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.

Aleksey D. Drozdov, Erik A. Jensen & Jesper deClaville Christiansen. (1970). Nonlinear Viscoelastic Response of Thermoplastic-Elastomer Melts. Advances in Applied Mathematics and Mechanics. 2 (1). 1-31. doi:10.4208/aamm.09-m0938
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