THE EFFECT OF ENTANGLEMENTS IN RUBBER ELASTICITY
THE EFFECT OF ENTANGLEMENTS IN RUBBER ELASTICITY
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DOI：
10.1016/0032-3861(86)90231-4
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发表时间：
1986-04-01
期刊：
影响因子：
4.6
通讯作者：
VILGIS, T
中科院分区：
文献类型：
--
作者：
EDWARDS, SF;VILGIS, T
本文提出了一种基于缠结概念的橡胶弹性理论。结果表明，在小变形下，分子的拉伸机制主要是由链的滑移决定的。橡胶在高变形下的硬化是由于管概念所描述的不可延伸性。这种变形自由能与实验符合得很好。由此产生的自由能为F k B T= 1 2 N c∑ i= 1 3（1− α 2）λ i 2 1− α 2 Z <$λ i 2− log 1− α 2∑ i= 3 3 λ i 2+ 1 2 n s∑ i= 1 3 λ i 2（1+ η）（1− α 2）（1+ ηλ i 2）（1− α 2 σλ i 2）+ log（1+ ηλ i 2）− log（1− α 2 σλ i 2）其中α是不可延展性的度量，η是滑移的度量，Nc是交联的数量，N是滑移链的数量。
This paper presents a theory of rubber elasticity based on the concept of entanglements. It is shown that for small deformation the molecular mechanism of stretching is dominated by the slippage of chains. Hardening of the rubber at a high deformation is due to inextensibility as described by the tube concept. This free energy of deformation agrees well with experiment. The resulting free energy is F k B T= 1 2 N c∑ i= 1 3 (1− α 2) λ i 2 1− α 2 Z ̄ λ i 2− log 1− α 2∑ i= 3 3 λ i 2+ 1 2 n s∑ i= 1 3 λ i 2 (1+ η)(1− α 2)(1+ ηλ i 2)(1− α 2 σλ i 2)+ log (1+ ηλ i 2)− log (1− α 2 σλ i 2) where α is a measure of the inextensibility and η of the slippage, N c is the number of crosslinks and N s the number of slip links.