Thermo-mechanical model of rubber network with transient non-bonded interaction concept for multi-physics design

We propose a new concept on theoretical explanation of the relationship between transient non-bonded interaction and thermo-mechanical behavior on rubber-like materials. The theoretical equation can describe the extension ratio dependence of stress and temperature simultaneously. The approach found important evidence on the presence of the uncertainty relation between non-bonded interaction and angular momentum of molecular chain. We applied this concept to analysis for thermal molecular motion of Joule's experiments on thermo-dynamic properties of the vulcanized rubber. Our theoretical approaches, at least, provide the important parameters; the number of non-bonded interaction, the fluctuation energy, the attractive energy, the radius of rotation, the finite extensibility effect and the effective molar mass. These parameters can be used as a rule of thumb guide for multi-physics design in the future work to bridge the atomic behavior and the thermo-mechanical behavior which is associated with various rubber properties such as energy loss, damping, flexibility, friction, heat build-up, fatigue and fracture.