Fu Xintao, Wang Zepeng, Ma Lianxiang
College of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao 266061, China.
Polymers (Basel). 2021 Jan 25;13(3):369. doi: 10.3390/polym13030369.
In this paper, some representative hyperelastic constitutive models of rubber materials were reviewed from the perspectives of molecular chain network statistical mechanics and continuum mechanics. Based on the advantages of existing models, an improved constitutive model was developed, and the stress-strain relationship was derived. Uniaxial tensile tests were performed on two types of filled tire compounds at different temperatures. The physical phenomena related to rubber deformation were analyzed, and the temperature dependence of the mechanical behavior of filled rubber in a larger deformation range (150% strain) was revealed from multiple angles. Based on the experimental data, the ability of several models to describe the stress-strain mechanical response of carbon black filled compound was studied, and the application limitations of some constitutive models were revealed. Combined with the experimental data, the ability of Yeoh model, Ogden model ( = 3), and improved eight-chain model to characterize the temperature dependence was studied, and the laws of temperature dependence of their parameters were revealed. By fitting the uniaxial tensile test data and comparing it with the Yeoh model, the improved eight-chain model was proved to have a better ability to predict the hyperelastic behavior of rubber materials under different deformation states. Finally, the improved eight-chain model was successfully applied to finite element analysis (FEA) and compared with the experimental data. It was found that the improved eight-chain model can accurately describe the stress-strain characteristics of filled rubber.
本文从分子链网络统计力学和连续介质力学的角度，综述了一些具有代表性的橡胶材料超弹性本构模型。基于现有模型的优点，开发了一种改进的本构模型，并推导了应力-应变关系。对两种填充轮胎胶料在不同温度下进行了单轴拉伸试验。分析了与橡胶变形相关的物理现象，从多个角度揭示了填充橡胶在较大变形范围（150%应变）内力学行为的温度依赖性。基于实验数据，研究了几种模型描述炭黑填充胶料应力-应变力学响应的能力，揭示了一些本构模型的应用局限性。结合实验数据，研究了Yeoh模型、Ogden模型（ = 3）和改进的八链模型表征温度依赖性的能力，揭示了其参数的温度依赖性规律。通过拟合单轴拉伸试验数据并与Yeoh模型进行比较，证明改进的八链模型在预测橡胶材料在不同变形状态下的超弹性行为方面具有更好的能力。最后，将改进的八链模型成功应用于有限元分析（FEA）并与实验数据进行比较。结果发现，改进的八链模型能够准确描述填充橡胶的应力-应变特性。
