Abstract A new method has been proposed and verified to measure the viscoelastic properties of polymers by nanoindentation tests. With the mechanical response of load–displacement curves at different loading rates, the parameters of creep compliance and relaxation modulus are calculated through the viscoelastic contact model. Dynamic thermomechanical analysis (DMA) tests are conducted to compare the results by the proposed technique. The results show that the correlation coefficients between DMA tests and the new method are above 0.9 in the entire range, which verified the feasibility of the method. The loading curves fitted by the model are identical to the experimental curves within the discrete points and so it shows that this technique is more suitable for general linear viscoelastic materials. Numerical creep tests are carried out to examine the effectiveness of the proposed method by input the Prony series calculated by the three-element Maxwell model and the viscoelastic contact model. The good agreement shows that the proposed technique can be applied in practice.

中文翻译：

---

通过纳米压痕测量聚合物的粘弹性

摘要 提出并验证了一种通过纳米压痕测试测量聚合物粘弹性的新方法。根据不同加载速率下载荷-位移曲线的力学响应，通过粘弹性接触模型计算蠕变柔量和松弛模量参数。进行动态热机械分析 (DMA) 测试以比较所提出的技术的结果。结果表明，DMA测试与新方法的相关系数在整个范围内均在0.9以上，验证了该方法的可行性。模型拟合的载荷曲线与离散点内的实验曲线相同，表明该技术更适用于一般线性粘弹性材料。通过输入由三元麦克斯韦模型和粘弹性接触模型计算的Prony级数，进行数值蠕变试验以检验所提出方法的有效性。良好的一致性表明所提出的技术可以应用于实践。