SM 模型不同数据组合时沥青混合料的参数比较

西格摩德(Sigmoidal, SM)模型是构建沥青混合料主曲线的常用材料本构模型,文章基于不同类型实验数据获取待定参数后分析该本构模型在通用性上的差异;采用SM模型表征沥青混合料的动态模量,并得到相位角、存储模量和耗散模量的表达式;构建3种拟合函数 $ F_{E} $、 $ F_{E\varphi} $和 $ F_{SL} $,分别是采用动态模量、动态模量+相位角和存储模量+耗散模量的实验数据进行参数识别。结果表明,基于沥青混合料主曲线的 $ R^{2} $值、Black图和Cole-Cole图的重合性等指标,3种拟合函数的推荐顺序从优到劣均为 $ F_{E\varphi} $、 $ F_{SL} $、 $ F_{E} $。

The Sigmoidal(SM) model is a commonly used material constitutive model for constructing the master curve of asphalt mixture. This paper analyzes the differences in universality of the constitutive model based on obtaining undetermined parameters from different types of test data. The SM model is used to characterize the dynamic modulus of asphalt mixture, and the expressions of phase angle, storage modulus and loss modulus are obtained. Three fitting functions $ F_{E} $, $ F_{E_{\varphi}} $ and $ F_{SL} $ are constructed, and the test data of dynamic modulus, dynamic modulus combined with phase angle, and storage modulus combined with loss modulus are used for parameter identification, respectively. The results show that based on various indicators such as the $ R^{2} $ value of the master curve of asphalt mixture and the concurrency of the Black graph and Cole-Cole graph, the preferential sequence of these three fitting functions is $ F_{E_{\varphi}} > F_{SL} > F_{E} $.