目的 为清晰直观地认识凹胶印刷电子油墨铺展过程的微观机理。方法 根据油墨铺展运动过程，建立其静态的物理和几何模型，利用幂律流体理论，分析油墨粘度与剪切速率之间的关系，特别是纳米银导电油墨的幂律流体函数模型，最后利用实验验证这一模型的正确性。结果 幂律流体理论表明，纳米银导电油墨的粘度与剪切速率存在 的数量关系，实验结果表明，在印刷压力为49 N，线宽扩大率最大时，印刷速度为21.88 mm/s，验证该条件下的方阻值为5.915 Ω；在印刷速度为45 mm/s，线宽扩大率最大时，印刷压力为49.36 N，验证该条件下的方阻值为5.908 Ω；在印刷压力为49 N，印刷速度为45 mm/s下，线宽扩大率最大时，油墨粘度为0.78 Pa•s，验证该条件下的方阻值为4.8998 Ω；油墨粘度η与印刷速度v之间存在 的函数关系。结论 纳米银导电油墨是一种假塑性流体，其粘度与剪切速率呈负相关变化，剪切速率是影响油墨铺展过程的关键参数。

The work aims to clearly and intuitively understand the microscopic mechanism of the process of spreading the electronic ink of the gravure printing. According to the ink spreading process, the static physical and geometric models were established. The power law fluid theory was used to analyze the relationship between ink viscosity and shear rate, especially the power law fluid function model of nano silver conductive ink. Finally, the experiment was used to verify the correctness of such model. The power law fluid theory showed that the viscosity and the shear rate of nano silver conductive ink was subject to a numerical relationship . The experimental results showed that, when the printing pressure was 49 N, the line width expansion rate was the largest and the printing speed was 21.88 mm/s, the sheet resistance under such condition was verified to be 5.915 Ω; when the printing speed was 45 mm/s, the line width expansion rate was the largest and the printing pressure was 49.36 N, the sheet resistance under such condition was verified to be 5.908 Ω. When the printing pressure was 49 N, the printing speed was 45 mm/s, the line width expansion rate was the largest and the ink viscosity was 0.78 Pa•s, the sheet resistance under such condition was verified to be 4.8998 Ω. There was a functional relationship between ink viscosity η and printing speed v. Nano silver conductive ink is a pseudo plastic fluid with a negative correlation between viscosity and shear rate. The shear rate is a key parameter affecting the ink spreading process.