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Chain structure and entanglement
Abstract
It is shown that the entanglement junction may be modeled as a binary hooking contact of Kuhn nodes between two chains. The entanglement behavior is thus determined by chain tortuosity and given by Nv = (1/β)C, where Nv is the number of real or virtual skeletal bonds in an entanglement strand, C∞ is the characteristic ratio, α = 2 is the number of hooks involved at an entanglement junction, and β = 1/3 is the fraction of binary hooking configurations out of all possible configurations at a binary nodal contact. In other words, we have Nv = 3 C, which is verified experimentally for 44 polymers, covering a wide variety of skeletal, pendant, and stereoisomeric (tacticity) structures. Since C∞ may be estimated by group additivity, the present equation may be used to predict the entanglement behavior from chemical structure.
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Citations
Cited by
The estimation of mechanical properties of polymers from molecular structure
Seitz, J. T. (1993) · Journal of Applied Polymer Science · doi:10.1002/app.1993.070490802 · Cited by 188
Mechanism of degradation induced embrittlement in polyethylene
Fayolle, B., Colin, X., Audouin, L., & Verdu, J. (2007) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2006.11.012 · Cited by 186
Raymundo, A., Gouveia, L., Batista, A. P., Empis, J., & Sousa, I. (2005) · Food Research International · doi:10.1016/j.foodres.2005.02.016 · Cited by 94
Hu, J., Wang, W., Liu, X., Du, Y., Zhang, H., Duan, R., Bian, X., Liu, Y., & Chen, X. (2024) · International Journal of Biological Macromolecules · doi:10.1016/j.ijbiomac.2024.136161 · Cited by 8
Metadata
- Authors
- Wu, S.
- Venue
- Journal of Polymer Science Part B: Polymer Physics
- Publisher
- Wiley
- Published
- 1989-03
- Volume
- 27
- Issue
- 4
- Pages
- 723-741
- ISSN
- 0887-6266 (ISSN-L)
- 1099-0488
- OpenAlex
- W2057928583
- Cited by
- 509
- References
- 0
- FWCI
- 10.69
- Type
- journal article
- Language
- en
- Open access
- closed
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- Wu, S. (1989). Chain structure and entanglement. Journal of Polymer Science Part B: Polymer Physics. https://doi.org/10.1002/polb.1989.090270401
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