Panyukov Sergey
P. N. Lebedev Physics Institute, Russian Academy of Sciences, Moscow 117924, Russia.
Polymers (Basel). 2020 Apr 1;12(4):767. doi: 10.3390/polym12040767.
A review of the main elasticity models of flexible polymer networks is presented. Classical models of phantom networks suggest that the networks have a tree-like structure. The conformations of their strands are described by the model of a combined chain, which consists of the network strand and two virtual chains attached to its ends. The distribution of lengths of virtual chains in real polydisperse networks is calculated using the results of the presented replica model of polymer networks. This model describes actual networks having strongly overlapping and interconnected loops of finite sizes. The conformations of their strands are characterized by the generalized combined chain model. The model of a sliding tube is represented, which describes the general anisotropic deformations of an entangled network in the melt. I propose a generalization of this model to describe the crossover between the entangled and phantom regimes of a swollen network. The obtained dependence of the Mooney-Rivlin parameters C 1 and C 2 on the polymer volume fraction is in agreement with experiments. The main results of the theory of heterogeneities in polymer networks are also discussed.
本文对柔性聚合物网络的主要弹性模型进行了综述。理想网络的经典模型表明，这些网络具有树状结构。其链段的构象由组合链模型描述，该模型由网络链段及其两端连接的两条虚拟链组成。利用所提出的聚合物网络复本模型的结果，计算了实际多分散网络中虚拟链长度的分布。该模型描述了具有有限尺寸的强重叠和相互连接环的实际网络。其链段的构象由广义组合链模型表征。文中给出了滑动管模型，该模型描述了熔体中缠结网络的一般各向异性变形。我提出了该模型的一种推广形式，以描述溶胀网络中缠结态和理想态之间的转变。所得到的穆尼-里夫林参数C1和C2对聚合物体积分数的依赖性与实验结果一致。还讨论了聚合物网络中不均匀性理论的主要结果。
