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Dynamics of concentrated polymer systems. Part 3.—The constitutive equation
Abstract
The rheological constitutive equation of a condensed polymer system is presented based on the primitive chain model presented in Parts 1 and 2. The constitutive equation has the form of a BKZ equation and gives an explicit form for the memory kernel with the dependence of the rheological parameters on molecular weight and concentration. An interesting point is that it predicts a stress superposition law in the regime of non-linear viscoelasticity. The general features agree with experiments fairly well.
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Citations
Cited by
Dynamics of entangled linear polymer melts: A molecular-dynamics simulation
Kremer, K., & Grest, G. S. (1990) · The Journal of Chemical Physics · doi:10.1063/1.458541 · Cited by 4,023
Pääkkö, M., Ankerfors, M., Kosonen, H., Nykänen, A., Ahola, S., Österberg, M., Ruokolainen, J., Laine, J., Larsson, P. T., Ikkala, O., et al. (2007) · Biomacromolecules · doi:10.1021/bm061215p · Cited by 1,962
Stretched exponential relaxation in molecular and electronic glasses
Phillips, J. C. (1996) · Reports on Progress in Physics · doi:10.1088/0034-4885/59/9/003 · Cited by 938
Viscoelasticity and dynamics of entangled polymers
Watanabe, H. (1999) · Progress in Polymer Science · doi:10.1016/s0079-6700(99)00029-5 · Cited by 718
Entangled linear, branched and network polymer systems — Molecular theories
Graessley, W. W. (2006) · Advances in Polymer Science · doi:10.1007/bfb0038532 · Cited by 621
Metadata
- Authors
- Doi, M., & Edwards, S. F.
- Venue
- J. Chem. Soc., Faraday Trans. 2
- Publisher
- Royal Society of Chemistry (RSC)
- Published
- 1978
- Volume
- 74
- Issue
- 0
- Pages
- 1818-1832
- ISSN
- 0300-9238 (ISSN-L)
- OpenAlex
- W1965909643
- Cited by
- 615
- References
- 0
- FWCI
- 15.17
- Type
- journal article
- Language
- en
- Open access
- closed
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- Doi, M., & Edwards, S. F. (1978). Dynamics of concentrated polymer systems. Part 3.—The constitutive equation. J. Chem. Soc., Faraday Trans. 2. https://doi.org/10.1039/f29787401818
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