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Scaling Theory of Swelling and Deswelling of Polymer Networks

Publication ,  Journal Article
Yamamoto, T; Campbell, JA; Panyukov, S; Rubinstein, M
Published in: Macromolecules
May 10, 2022

We have developed a scaling theory of the elasticity of swollen and deswollen polymer networks. The elasticity of unentangled networks is primarily due to cross-links, and the elasticity of entangled networks is due to trapped entanglements. In preparation conditions, the number of monomers Nx in strands of the unentangled network is less than the number of monomers Ne0 in an entanglement strand while Nx > Ne0 for the entangled network. A network weakly entangled at preparation conditions is predicted to behave as unentangled network upon swelling. This "disentanglement"occurs due to the separation of neighboring strands upon swelling, which reduces the restrictions on the fluctuations of strands due to their topological interactions with neighboring strands. A network unentangled at preparation conditions is predicted to behave as an entangled network upon deswelling if the number of overlapping network strands exceeds the Kavassalis-Noolandi number. The entanglements produced by network deswelling are transient, and their number increases with deswelling, while the number of trapped entanglements is fixed by cross-linking. The "entanglement"upon deswelling and "disentanglement"upon swelling can be identified by measuring the concentration dependences of the elastic modulus.

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Published In

Macromolecules

DOI

EISSN

1520-5835

ISSN

0024-9297

Publication Date

May 10, 2022

Volume

55

Issue

9

Start / End Page

3588 / 3601

Related Subject Headings

  • Polymers
  • 40 Engineering
  • 34 Chemical sciences
  • 09 Engineering
  • 03 Chemical Sciences
 

Citation

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Yamamoto, T., Campbell, J. A., Panyukov, S., & Rubinstein, M. (2022). Scaling Theory of Swelling and Deswelling of Polymer Networks. Macromolecules, 55(9), 3588–3601. https://doi.org/10.1021/acs.macromol.1c02553
Yamamoto, T., J. A. Campbell, S. Panyukov, and M. Rubinstein. “Scaling Theory of Swelling and Deswelling of Polymer Networks.” Macromolecules 55, no. 9 (May 10, 2022): 3588–3601. https://doi.org/10.1021/acs.macromol.1c02553.
Yamamoto T, Campbell JA, Panyukov S, Rubinstein M. Scaling Theory of Swelling and Deswelling of Polymer Networks. Macromolecules. 2022 May 10;55(9):3588–601.
Yamamoto, T., et al. “Scaling Theory of Swelling and Deswelling of Polymer Networks.” Macromolecules, vol. 55, no. 9, May 2022, pp. 3588–601. Scopus, doi:10.1021/acs.macromol.1c02553.
Yamamoto T, Campbell JA, Panyukov S, Rubinstein M. Scaling Theory of Swelling and Deswelling of Polymer Networks. Macromolecules. 2022 May 10;55(9):3588–3601.
Journal cover image

Published In

Macromolecules

DOI

EISSN

1520-5835

ISSN

0024-9297

Publication Date

May 10, 2022

Volume

55

Issue

9

Start / End Page

3588 / 3601

Related Subject Headings

  • Polymers
  • 40 Engineering
  • 34 Chemical sciences
  • 09 Engineering
  • 03 Chemical Sciences