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Simulation of Rheological Properties of Polyethylene Melts under Uniaxial Tension

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract—

The modified Vinogradov–Pokrovskii rheological model is used to describe the occurrence of stresses in a polymer melt under uniaxial tension. One of the changes introduced in the model concerns the anisotropic law of internal friction, which made it possible to take into account the nonmonotonic dependence of stationary tensile viscosity on tension rate. Another change is associated with the multimode nature of the relaxation processes accompanied the deformation of the polymer melt. The modification of the model made it possible to evaluate the tensile viscosity, which is three times higher than the shear viscosity of the melt in the linear deformation mode. The results of calculations for five industrial samples of polyethylene with a branched structure of macromolecules are compared with experimental data taken from the literature. The calculations according to the mathematical model are carried out by the Runge–Kutta method. The components of the relaxation spectrum are similar to those used in the experiment. Other parameters of the model are selected from the condition of the best coincidence between theoretical and experimental time dependences of tensile viscosity. Despite the fact that the multimode model is based on the development of theoretical concepts of the dynamics of linear polymer chains, it describes rather accurately the nonstationary time dependences of the viscosity of branched polymer melts under uniaxial tension. Comparison with the results of calculations using other models shows that proposed model provides prediction accuracy no worse than most modern models (for example, the Leonov–Prokunin model, Giesekus multimode model, the pom-pom model, the extended pom-pom model, and the model of molecular stress function) and significantly better results in relation to its single-mode approximation.

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Authors and Affiliations

  1. Polzunov Altai State Technical University, 656038, Barnaul, Russia

    M. A. Makarova, A. S. Malygina & G. V. Pyshnograi

  2. Altai State University, 656049, Barnaul, Russia

    G. V. Pyshnograi & G. O. Rudakov

Authors
  1. M. A. Makarova
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  2. A. S. Malygina
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  3. G. V. Pyshnograi
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  4. G. O. Rudakov
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Correspondence to M. A. Makarova.

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Translated by I. Obrezanova

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Makarova, M.A., Malygina, A.S., Pyshnograi, G.V. et al. Simulation of Rheological Properties of Polyethylene Melts under Uniaxial Tension. J Appl Mech Tech Phy 62, 1063–1071 (2021). https://doi.org/10.1134/S0021894421070142

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  • DOI: https://doi.org/10.1134/S0021894421070142

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