Coarse-Grained Lattice Modeling and Monte Carlo Simulations of Stress Relaxation in Strain-Induced Crystallization of Rubbers
Vladislav Egorov,
Hiroshi Koibuchi,
Chrystelle Bernard,
Jean-Marc Chenal,
Gildas Diguet,
Gael Sebald,
Jean-Yves Cavaille,
Toshiyuki Takagi,
Laurent Chazeau
Affiliations
Vladislav Egorov
Cherepovets State University (ChSU), Prospekt Lunacharskogo, 5, 162600 Cherepovets, Vologda Oblast, Russia
Hiroshi Koibuchi
National Institute of Technology (KOSEN), Sendai College, 48 Nodayama, Medeshima-Shiote, Natori-shi, Miyagi 981-1239, Japan
Chrystelle Bernard
ELyTMaX UMI 3757, CNRS-Universite de Lyon, Tohoku University, International Joint Unit, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai 980-8577, Japan
Jean-Marc Chenal
Materials Engineering and Science (MATEIS), CNRS, INSA Lyon UMR 5510, Universite´ de Lyon Batiment B. Pascal, Avenue Jean Capelle, CEDEX, 69621 Villeurbanne, France
Gildas Diguet
ELyTMaX UMI 3757, CNRS-Universite de Lyon, Tohoku University, International Joint Unit, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai 980-8577, Japan
Gael Sebald
ELyTMaX UMI 3757, CNRS-Universite de Lyon, Tohoku University, International Joint Unit, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai 980-8577, Japan
Jean-Yves Cavaille
ELyTMaX UMI 3757, CNRS-Universite de Lyon, Tohoku University, International Joint Unit, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai 980-8577, Japan
Toshiyuki Takagi
Tohoku Forum for Creativity, Tohoku University, 2-1-1 Katahira, Aoba-ku Sendai 980-8577, Japan
Laurent Chazeau
Materials Engineering and Science (MATEIS), CNRS, INSA Lyon UMR 5510, Universite´ de Lyon Batiment B. Pascal, Avenue Jean Capelle, CEDEX, 69621 Villeurbanne, France
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.