沥青胶砂改进分数阶导数幂函数经验蠕变本构模型

Improved Fractional Order Derivative Empirical Power Function Model for Describing the Creep of Asphalt Mortar

针对沥青胶砂的蠕变特性,提出了改进分数阶导数幂函数经验蠕变本构模型,然后分别对不同应力水平下沥青砂的蠕变恢复试验结果和不同温度下沥青玛蹄脂的蠕变试验结果进行拟合分析,确定了相关的模型参数,分析了模型参数的物理意义及其变化规律.在此基础上,提出了相应的沥青胶砂高温性能评价指标.结果表明:改进分数阶导数幂函数经验蠕变本构模型能够较好地描述沥青胶砂的蠕变特性,并能够反映温度对其蠕变变形的影响,具有较为广泛的适用性.

The improved fractional order derivative empirical power function model was put forward to de- scribe the creep property of asphalt mortar. According to the results of creep-recovery experiments of as- phalt sands at different stress levels and creep experimental results of asphalt mastics at different tempera- tures, the parameters of the improved model were determined by simulating the experimental results. The physical meaning and change rule of the parameters of the improved model were analyzed and the evalua- tion index of high temperature performance of asphalt mortar was proposed. The results show that the im- proved model can well describe the creep characteristics of asphalt mortar and the effect of temperature on the creep deformation. The improved model can be widely used to study the creep property of asphalt mor-tar.