Abstract
The network theory developed by Yamamoto (J. Phys. Soc. Jpn., 11, 413 (1956)) is applied to explain at least qualitatively some of the nonlinear viscoelastic behavior of concentrated polymer systems in shearing flow, with the assumption that the probability of chain-breakage is proportional to the square of the end-to-end distance in the chain. It is shown that the shear-rate dependence of the steady viscosity is similar to the frequency dependence of the absolute value of the complex viscosity. The so-called stress overshoot at the beginning of shearing flow, the stress relaxation after the stoppage of flow, the ordinary stress relaxation under large deformation, and the superposition of a small oscillation upon steady shearing flow are treated; the results are in good qualitative agreement with the experiment. The rate-dependent and the deformation-dependent relaxation spectra are derived from the time dependence of the stresses in the two kinds of stress relaxation.
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Takano, Y. Network Theory for Nonlinear Viscoelasticity. Polym J 6, 61–71 (1974). https://doi.org/10.1295/polymj.6.61
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DOI: https://doi.org/10.1295/polymj.6.61
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