Topological Interaction between Loop Structures in Polymer Networks and the Nonlinear Rubber Elasticity

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概要

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• We numerically examine the nonlinear rubber elasticity of topologically constrained polymer networks. We propose a simple and effective model based on Graessley and Pearsons 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-Rivlins 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.

著者

• Hirayama Naomi

  Institute of Industrial Science, University of Tokyo

• Tsurusaki Kyoichi

  Chemical Engineering Division, Kanagawa Industrial Technology Center

関連論文

• Topological Interaction between Loop Structures in Polymer Networks and the Nonlinear Rubber Elasticity
• General Polygonal Length Dependence of the Linking Probability for Ideal Random Polygons(Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins)
• Topological Interaction between Loop Structures in Polymer Networks and the Nonlinear Rubber Elasticity

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