2011/04/17 by Naomi Hirayama, Hirayama, Naomi, Kyoichi Tsurusaki +1
Computer Science · Engineering · Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Computational Drug Discovery Methods #FOS: Physical sciences #Phase Equilibria and Thermodynamics #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1104.3277
7 pages
arxiv created 2011/04/17 · openalex publication_date 2011/04/17 · arxiv updated 2015/03/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We numerically examine the nonlinear rubber elasticity of topologically constrained polymer networks. We propose a simple and effective model based on Graessley and Pearson's topological model (GP model) for describing the topological effect. The main point is to take account of a nonequilibrium effect in the synthesis process of the polymer network. We introduce a new parameter γ to describe entropic contributions from the entanglement of polymer loops, which may be determined from the structural characteristics of the sample. The model is evaluated in the light of experimental data under uniaxial and biaxial deformations. As a result, our model exhibits uniaxial behaviors which are common to many elastomers in various deformation regimes such as Mooney-Rivlin's relation in small extension, stress divergence in the elongation limit and the declined stress in compression. Furthermore, it is also qualitatively consistent with biaxial experiments, which can be explained by few theoretical models.