Wu Leixiao, Cai Wei, Yang Jie
College of Mechanical and Electrical Engineering, Hohai University, Changzhou 213022, China.
Polymers (Basel). 2025 Jul 19;17(14):1984. doi: 10.3390/polym17141984.
The creep behavior of thermoplastic polymeric materials is highly dependent on loading conditions, which must be accounted for in the intrinsic model. In this paper, fractional creep models have been developed to describe the temperature/stress-dependent creep/creep-recovery and accelerated creep damage behavior, with the construction of a criterion correlating model parameters with temperature and initial stress. The fractional order in the fractional creep/creep-recovery model can be physically interpreted by the well-known master curve, and the creep rupture time can be predicted by combining the Monkman-Grant law with the fractional creep damage model. Extensive experimental data are employed to substantiate the model's applicability under different loading conditions. Moreover, a comparative analysis highlights the proposed model's superior simplicity and performance over existing models.
热塑性聚合物材料的蠕变行为高度依赖于加载条件，而本构模型必须考虑这些条件。本文开发了分数阶蠕变模型，以描述温度/应力相关的蠕变/蠕变恢复以及加速蠕变损伤行为，并构建了一个将模型参数与温度和初始应力相关联的准则。分数阶蠕变/蠕变恢复模型中的分数阶可以通过著名的主曲线进行物理解释，并且可以通过将蒙克曼-格兰特定律与分数阶蠕变损伤模型相结合来预测蠕变断裂时间。大量实验数据用于证实该模型在不同加载条件下的适用性。此外，对比分析突出了所提出模型相对于现有模型的卓越简单性和性能。
