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Alexander Malkin, Alexander Semakov, Valery Kulichikhin
Macroscopic modeling of a single entanglement at high deformation rates of polymer melts

Appl. Rheol. 22:3 (2012) 32575 (9 pages)

Abstract: We constructed a macroscopic model illustrating behavior of a single entanglement knot of macromolecules in a melt and examined its behavior at different deformation rates. A model consists of flexible elastic strips, which are tied in a granny knot (modeling not a real geometrical form of entanglements but their behavior at relatively easy sliding). This scheme models the situation when elastic energy exceeds the energy of the Brownian motion. The behavior of a knot chosen for modeling is different at low and high deformation rates. In the previous case knots disentangle as predicted by the .tube. model, elastic strips slip out a knot and this is an illustration of flow. In the latter case, knots tighten up, further extension of strips leads to the increase in stresses up to breakup of a strip. This effect imitates the transition from the flow to the rubbery-like behavior of polymer melts, when flow becomes impossible due to the formation of quasi-permanent entanglements. The general dimensionless correlation for the process under discussion has been proposed. © 2012 Applied Rheology.

DOI 10.3933/ApplRheol-22-32575

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Appl Rheol 22 (2012) issues:


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