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Statistical Mechanics of Cross-Linked Polymer Networks II. Swelling
Abstract
The interaction of solvents with cross-linked network structures, such as occur in vulcanized rubber, is subjected to a statistical mechanical treatment based on the model and procedure presented in the preceding paper. The activity of the solvent is expressed as a function of its concentration in the swollen network, and of the degree of cross-linking. The maximum degree of swelling of the network in contact with the pure solvent is related to the degree of cross-linking. The heat of interaction of the solvent with the network can be calculated from the temperature coefficient of maximum swelling. The theory leads to the conclusion that the swelling capacity should be diminished by the application of an external stress. Furthermore, the modulus of elasticity should decrease inversely with the cube root of the swelling volume.
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Cited by
Hydrogels in pharmaceutical formulations
Peppas, N. (2000) · European Journal of Pharmaceutics and Biopharmaceutics · doi:10.1016/s0939-6411(00)00090-4 · Cited by 4,011
Hydrogels in regenerative medicine
Slaughter, B. V., Khurshid, S. S., Fisher, O. Z., Khademhosseini, A., & Peppas, N. A. (2009) · Advanced Materials · doi:10.1002/adma.200802106 · Cited by 2,703
Physicochemical Foundations and Structural Design of Hydrogels in Medicine and Biology
Peppas, N. A., Huang, Y., Torres-Lugo, M., Ward, J. H., & Zhang, J. (2000) · Annual Review of Biomedical Engineering · doi:10.1146/annurev.bioeng.2.1.9 · Cited by 1,016
Polymer Networks: From Plastics and Gels to Porous Frameworks
Gu, Y., Zhao, J., & Johnson, J. A. (2020) · Angewandte Chemie International Edition · doi:10.1002/anie.201902900 · Cited by 388
The tube model theory of rubber elasticity
Edwards, S. F., & Vilgis, T. A. (1988) · Reports on Progress in Physics · doi:10.1088/0034-4885/51/2/003 · Cited by 384
Metadata
- Authors
- Flory, P. J., & Rehner, J.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1943-11-01
- Volume
- 11
- Issue
- 11
- Pages
- 521-526
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W1972675654
- Cited by
- 3,865
- References
- 0
- FWCI
- 10.08
- Type
- journal article
- Language
- en
- Open access
- closed
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- Flory, P. J., & Rehner, J. (1943). Statistical Mechanics of Cross-Linked Polymer Networks II. Swelling. The Journal of Chemical Physics. https://doi.org/10.1063/1.1723792
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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