The present paper considers the problem of constructing a rheological constitutive relation for melts of branched polymers with the use of a modified Vinogradov–Pokrovskii rheological model generalized to the case of several noninteracting models, each of which corresponds to the account in the stress tensor of the contribution of a particular polymer fraction and is characterized by its own relaxation time and viscosity. Since the number of model parameters markedly increases thereby, simple dependences of its parameters on the mode number are proposed. On the basis of the obtained model, the nonlinear nonstationary effects at simple shear and uniaxial tensor have been considered.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 89, No. 3, pp. 643–651, May–June, 2016.
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Merzlikina, D.A., Pyshnograi, G.V., Pivokonskii, R. et al. Rheological Model for Describing Viscometric Flows of Melts of Branched Polymers. J Eng Phys Thermophy 89, 652–659 (2016). https://doi.org/10.1007/s10891-016-1423-7
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DOI: https://doi.org/10.1007/s10891-016-1423-7