Structure and dynamics of transient gels
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概要
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A simple transient network model is introduced to describe creation and annihilation of the junctions in the networks of associating polymers. The time-evolution equation under arbitrary deformation is derived for the number of elastically effective polymer chains in the network. It is found that rheological properties depend rather sensitively on the chain disengagement rate β(r) and recombination probability p of associative groups. The dynamic mechanical moduli are calculated as functions of the frequency ω and the chain disengagement rate. From the peak of the loss modulus, the lifetime t_x of the junction is estimated, and from the high frequency plateau of the storage modulus the number of elastically effective chains in the network is found. On the basis of the Scanlan-Case criterion, the number of elastically effective chains and the number of dangling ends are calculated as functions of the polymer concentration and the temperature. The results are compared with the recent experimental report on the elastic moduli of hydrophobically modified water-soluble polymers.
- 理論物理学刊行会の論文
- 1997-06-27
著者
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TANAKA Fumihiko
Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University
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Tanaka Fumihiko
Faculty Of Agriculture Kagoshima University
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Tanaka Fumihiko
Department Of Bioproduction Environmental Science Faculty Of Agriculture Kyushu University
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