In this paper, a new network and then a corresponding constitutive model of rubber-like materials are proposed. The materials are assumed to be composed of equal-length helical subnetworks which can slide along their occupied space. According to equivalence of external force, the network of this kind of materials is simplified to a sample network which only has subnetworks in three principal directions. By virtue of chain force calculated from Boltzmann's equation, the expression of principal stress is derived according to the network structure. The model is fitted to experimental data and compared with other models, which show the model can describe rubber-like materials well. The proposed network structure and corresponding constitutive model can also give reasonable explanations of the Ogden model and the Arruda-Boyce model.

本文提出了一个新的网络，并提出了相应的橡胶状材料本构模型。假定这些材料由可以沿着其占据空间滑动的等长螺旋形子网络组成。根据外力的等效，这种材料的网络被简化为仅在三个主要方向上具有子网络的示例网络。借助于从玻尔兹曼方程计算出的链力，根据网络结构推导了主应力的表达式。该模型适合实验数据，并与其他模型进行比较，表明该模型可以很好地描述橡胶状材料。所提出的网络结构和相应的本构模型也可以对Ogden模型和Arruda-Boyce模型做出合理的解释。