Egorov Vladislav, Koibuchi Hiroshi, Bernard Chrystelle, Chenal Jean-Marc, Diguet Gildas, Sebald Gael, Cavaille Jean-Yves, Takagi Toshiyuki, Chazeau Laurent
Cherepovets State University (ChSU), Prospekt Lunacharskogo, 5, 162600 Cherepovets, Vologda Oblast, Russia.
National Institute of Technology (KOSEN), Sendai College, 48 Nodayama, Medeshima-Shiote, Natori-shi, Miyagi 981-1239, Japan.
Polymers (Basel). 2020 Jun 1;12(6):1267. doi: 10.3390/polym12061267.
Two-dimensional triangulated surface models for membranes and their three-dimensional (3D) extensions are proposed and studied to understand the strain-induced crystallization (SIC) of rubbers. It is well known that SIC is an origin of stress relaxation, which appears as a plateau in the intermediate strain region of stress-strain curves. However, this SIC is very hard to implement in models because SIC is directly connected to a solid state, which is mechanically very different from the amorphous state. In this paper, we show that the crystalline state can be quite simply implemented in the Gaussian elastic bond model, which is a straightforward extension of the Gaussian chain model for polymers, by replacing bonds with rigid bodies or eliminating bonds. We find that the results of Monte Carlo simulations for stress-strain curves are in good agreement with the reported experimental data of large strains of up to 1200%. This approach allows us to intuitively understand the stress relaxation caused by SIC.
为了理解橡胶的应变诱导结晶（SIC），提出并研究了用于薄膜的二维三角化表面模型及其三维（3D）扩展。众所周知，SIC是应力松弛的一个起源，它在应力 - 应变曲线的中间应变区域表现为一个平台。然而，这种SIC在模型中很难实现，因为SIC直接与固态相关，而固态在力学上与非晶态有很大不同。在本文中，我们表明，通过用刚体替换键或消除键，在高斯弹性键模型中可以非常简单地实现结晶态，该模型是聚合物高斯链模型的直接扩展。我们发现，对应力 - 应变曲线的蒙特卡罗模拟结果与报道的高达1200%的大应变实验数据吻合良好。这种方法使我们能够直观地理解由SIC引起的应力松弛。
