基于分数阶导数的沥青混合料动态黏弹行为  

Dynamic viscoelastic behavior of asphalt mixtures based on fractional derivative

作　　者：尹应梅[1] 张肖宁[2] 

机构地区：[1]广东工业大学土木与交通工程学院,广东广州510006 [2]华南理工大学土木与交通学院,广东广州510640

出　　处：《中南大学学报（自然科学版）》2013年第9期3891-3897,共7页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(51038004);广东工业大学博士启动项目(113007)

摘　　要：为了描述沥青混合料的动态黏弹行为,选择3种沥青混合料进行动态力学分析。通过沥青混合料动态蠕变试验和动态频率扫描试验,提出采用分数阶导数Burgers模型和分数阶导数Maxwell模型对沥青混合料的动态黏弹行为进行拟合,并与经典黏弹模型(Burgers模型和广义Maxwell模型)的拟合结果进行比较。研究结果表明:Burgers模型不能很好地拟合动态蠕变曲线,在蠕变始末端偏差尤为明显;广义Maxwell模型在动态模量曲线两端的拟合效果较差,而分数阶导数Burgers模型可较精确地描述沥青混合料的动态蠕变曲线;分数阶导数Maxwell模型的拟合效果较优,且拟合得到的参数具有一定的物理意义。In order to describe the dynamic viscoelastic behavior of asphalt mixtures,the dynamic mechanical test analysis of three asphalt mixtures was performed.Dynamic creep tests and dynamic frequency sweep tests of asphalt mixtures were carried out with fractional derivative Burgers model and the fractional derivative Maxwell model based on the theory of the fractional derivative constitutive model and the classical viscoelastic model(Burgers model and generalized Maxwell model).The two kinds of constitutive equations were compared based on the fitting results.The results show that the classical viscoelastic model is unsuitable to describe the dynamic performance of the asphalt mixtures.Burgers model can fit the dynamic creep curve of asphalt mixtures except for the beginning and end of deviation in creep,and the generalized Maxwell model can fit the curve on dynamic modulus of asphalt mixtures at different frequencies well except for both ends.However,the fractional derivative Burgers model can more accurately describe the dynamic creep curves of the asphalt mixture than the Burgers model,the fractional derivative Maxwell model fits better than the generalized Maxwell model,and the fitting parameters of fractional derivative Maxwell model have physical significance.

关 键 词：沥青混合料 分数阶导数 动态黏弹行为 本构关系 流变模型 

分 类 号：U414[交通运输工程—道路与铁道工程]