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Polymer Science, Series C
Published in: Polymer Science, Series C 1/2023

09-08-2023

Elasticity of Highly Entangled Polymer Networks and Gels: Review of Models and Theory of Nonaffine Deformations

Author: S. V. Panyukov

Published in: Polymer Science, Series C | Issue 1/2023

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Abstract

The main models of phantom and topologically entangled polymer networks are surveyed. A theory of anisotropic and nonaffine deformation of both swollen and deswollen (with partial solvent removal) strongly entangled polymer networks in athermal and θ-solvents has been developed. It is shown that under weak anisotropic deformations of the deswollen network, the entanglement tube consists of fractal loopy globules. In a θ-solvent, slight deformations of the network lead to a decrease in the overlap of loopy globules without changing their sizes. Deformations of swollen networks, as well as strong deformations of deswollen networks, are described in terms of the slip-tube model. An effective Hamiltonian has been derived that determines the entropy of fractal loopy globules. Based on the Hamiltonian, it is shown that topological constraints can be described using the polymer–quantum diffusion analogy. The connection between topological and quantum entanglements is demonstrated.
previous article The Rheological Behavior of Polymer Solution Threads
next article Dielectric Mismatch Effects on Polyelectrolyte Solutions in Electrified Nanopores: Insights from Mean-Field Theory

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Metadata
Title
Elasticity of Highly Entangled Polymer Networks and Gels: Review of Models and Theory of Nonaffine Deformations
Author
S. V. Panyukov
Publication date
09-08-2023
Publisher
Pleiades Publishing
Published in
Polymer Science, Series C / Issue 1/2023
Print ISSN: 1811-2382
Electronic ISSN: 1555-614X
DOI
https://doi.org/10.1134/S1811238223700236

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