模拟非晶态聚合物的疲劳行为
Modeling the Fatigue Behavior of Amorphous Polymers
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中文总结 AI 辅助
研究非晶态聚合物疲劳行为，用朗氏塑性模型线性化版本推导巴斯奎定律，得出m = 3及前置因子A的表达式，成功描述了PS、PMMA和PVC三种非晶态聚合物的实验数据。
中文摘要 AI 辅助
材料耐久性的预测既非常重要又非常困难。在许多情况下，通过使样品经受重复的振荡循环（剪切或拉压）直至其以延性或脆性方式失效来测量材料耐久性。通常，应力幅值记为S，循环次数记为N，所得的依赖关系称为SN曲线。许多材料的SN曲线已被证明服从经验性的巴斯奎定律N = AS^(-m)。在此，我们使用朗氏塑性模型的线性化版本推导出巴斯奎定律，并证明在此框架内m = 3。我们还推导出了前置因子A的表达式。最后，我们表明我们的理论成功描述了三种非晶态聚合物PS、PMMA和PVC的实验数据。
英文摘要
Prediction of material durability is both very important and very difficult. In many cases, material durability is measured by subjecting a sample to repeating oscillatory cycles (in shear or tension-compression) until it fails in either ductile or brittle fashion. Typically, the stress amplitude is denoted S, and the number of cycles N, so the resulting dependence is known as the SN-curve. For many materials, SN curve has been shown to obey the empirical Basquin's law, N = AS^(-m), where the prefactor A was a function of the temperature, load frequency, and sample history, and the power law m was a real number, usually between 3 and 12. Here, we derive the Basquin's law using a linearized version of the Long's plasticity model and demonstrate that within this framework, m = 3. We also derive the expression for the prefactor A. Finally, we show that our theory successfully describes experimental data for three amorphous polymers, PS, PMMA, and PVC.
