The origin of the C2 term in rubber elasticitya)
The origin of the C2 term in rubber elasticitya)
复制标题
橡胶弹性中 C2 项的起源a)
DOI：
10.1122/1.550480
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发表时间：
1994
影响因子：
3.3
通讯作者：
M. Wagner
中科院分区：
文献类型：
--
作者：
M. Wagner
提出了物理网络（聚合物熔体）和永久网络（橡胶）的统一应力-应变模型。它基于三个假设：（1）真实的链的不可交叉性条件可以用管的概念来模拟;（2）管的直径是平均拉伸的函数;（3）管的体积相对于变形是不变的。该模型预测，干燥和溶胀橡胶网络的应力-应变行为完全由四个材料常数决定：本体网络的平衡模量G∞;临界缠结模量G*e，其相当于未交联母体熔体的平台模量GN;有限延展性参数α;以及溶剂-聚合物相互作用指数β。预测与实验数据相比，伸长率，协议是极好的。具有高交联密度的未溶胀网络的Mooney-Rivlin常数C2被限制为大约GN/2，并且C2项的起源被证明是由于非仿射变形。
A unifying stress–strain model for physical networks (polymer melts) and for permanent networks (rubbers) is presented. It is based on three assumptions: (1) the uncrossability condition of real chains can be modeled by the tube concept; (2) the tube diameter is a function of the average stretch; and (3) the tube volume is invariant with respect to deformation. The model predicts that stress–strain behavior of dry and swollen rubber networks is completely determined by four material constants: the equilibrium modulus G∞ of the bulk network; the critical entanglement modulus G*e, which is equivalent to the plateau modulus GN of the un‐crosslinked parent melt; a finite extensibility parameter α; and a solvent‐polymer interaction exponent β. Predictions are compared with experimental data in elongation, and agreement is excellent. The Mooney–Rivlin constant C2 of unswollen networks with high crosslink densities is limited to roughly GN/2, and the origin of the C2 term is shown to be due to nonaffine deformat...