考虑时效损伤的沥青混合料分数阶蠕变模型

Fractional creep model of asphalt mixture considering aging damage

为研究沥青混合料蠕变黏弹塑性力学行为,以Maxwell模型作为基础模型,采用分数阶微积分算子理论构建分数阶黏滞体,替代基础模型中的牛顿体;引入非线性黏滞阻尼器,与基础模型串联;定义损伤变量,依据Lemaitre等效应变原理进行损伤演化,得到考虑时效损伤的沥青混合料分数阶蠕变模型。求解该模型参数,分析参数敏感性,并进行损伤演化。利用所建模型辨识沥青混合料蠕变数据,并与经验模型进行对比,验证所建模型的可行性和合理性。

In order to study the creep viscoelastic-plastic mechanical behavior of asphalt mixture,the Maxwell model is used as the basic model,and the fractional order calculus operator theory is used to construct the fractional order viscous body to replace the Newton body in the basic model.The nonlinear viscous damper is introduced and connected in series with the foundation model.The damage variable is defined,the damage evolution is carried out according to the Lemaitre equivalent strain principle,and the fractional creep model of asphalt mixture considering aging damage is obtained.The model parameters are solved,the parameter sensitivity is analyzed,and the damage evolution is carried out.The creep data of asphalt mixture are identified by using the model,and compared with the empirical model to verify the feasibility and rationality of the model.