Properties of phantom networks and real networks
Properties of phantom networks and real networks
复制标题
虚拟网络和真实网络的特性
DOI：
10.1007/3-540-11471-8_3
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发表时间：
1982
期刊：
影响因子：
--
通讯作者：
A. J. Staverman
中科院分区：
文献类型：
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作者：
A. J. Staverman
James在1947年提出的幻影网络理论，由Duiser和Staverman在1965年和Flory在1976年详细阐述，可以得出弹性自由能的前因子方程。在自由能最低的状态下，称为幽灵网络Θ-state，链获得随机构型分布，弹性方程中的前因子等于循环秩，链数减去结点数。循环等级取决于网络的化学结构，与指定为双功能结的段的数量无关。弹性自由度的数目是循环秩的三倍。真实网络的弹性行为，特别是在非膨胀状态下，与虚拟网络的弹性行为不同。最近一个解释这种偏差的理论是基于多功能和双功能连接之间的差异的假设，这与虚幻网络的概念是陌生的，在物理上是不可信的。提出了一种基于约束弹性自由度的替代理论，取代了约束结点的概念。
The theory of phantom networks by James in 1947 and elaborated by Duiser and Staverman in 1965 and by Flory in 1976 is shown to lead generally to the frontfactor equation for the elastic free energy.In the state of lowest free energy, called the Θ-state of the phantom network, the chains acquire the random configuration distribution and the frontfactor in the elastic equation is equal to the cycle rank, number of chains minus the number of junctions. The cycle rank depends on the chemical structure of the network and is independent of the number of segments designated as bifunctional junctions.The number of elastic degrees of freedom is three times the cycle rank. The elastic behaviour of real networks in particular in the unswollen state, deviates from that of phantom networks. A recent theory to explain this deviation is based upon the assumption of a difference between polyfunctional and bifunctional junctions which is alien to the concept of phantom networks and is physically not plausible. An alternative theory is presented based upon the concept of constrained elastic degrees of freedom instead of constrained junctions.