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Authors
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Lang, M.
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Title
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Relation between Cross-Link Fluctuations and Elasticity in Entangled Polymer Networks
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Date
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13.03.2017
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Number
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52464
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Abstract
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Computer simulation data on junction fluctuations in end-linked model networks are analyzed using the framework of the constraint junction model and the slip tube model for entangled networks. It is argued that cross-linking freezes in conformational fluctuations of chains and cross-links, which creates a small preload of entangled strands. This can be modeled using a “confinement degree of polymerization” Nc(N) with a weak dependence on the degree of polymerization N. The confined motion of network junctions with f active connections to the network is well described by using the exact solution of the constrained junction model with a constraining term that is given by the superposition of f/2 entanglement tubes with confinement Nc(N). It is shown that the modulus of end-linked model networks is the sum of a phantom and an entanglement contribution, whereby the entanglement contribution shows the same correction Nc(N) as both the cross-link fluctuations and the time average bond orientations. The results for the cross-link fluctuations allow to compute instantaneous or time average segment orientations and, thus, are necessary to understand birefringence experiments or double quantum nuclear magnetic resonance data of entangled networks.
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Publisher
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Macromolecules
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Wikidata
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Citation
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Macromolecules 50 (2017) 2547-2555
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DOI
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https://doi.org/10.1021/acs.macromol.6b02690
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Tags
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