中文摘要：

鉴于目前的本构关系不能很好的表征改性沥青的非线性粘弹性能，分别采用线粘弹性的广义Maxwell模型和分数阶导数Maxwell模型对改性沥青的动态粘弹性能进行研究，并对这两种模型的拟合效果进行分析，结果表明广义Maxwell模型在曲线两端的拟合效果较差，拟合结果不适合外延，分数阶导数Maxwell模型的拟合效果较好，且拟合得到的参数具有一定的物理意义，可以定量的评价改性沥青的动态粘弹性能。

英文摘要：

To analyze the nonlinear viscoelastic properties of modified asphalt, dynamic viscoelastic constitutive equations are studied, consisting of generalized Maxwell model and fractional calculus Maxwell model. The two kinds of constitutive equations are compared based on the fitting result. The result showing generalized Maxwell model can fit well the viscoelastic performance of modified asphalt except for both sides of the curve. Therefore, it is unsuitable to predict viscoelastic properties using generalized Maxwell model. It is concluded that the fractional calculus model can fit accurately the viscoelastic performance of modified asphalt and the fitting result can be used to evaluate the viscoelastic performance of modified asphalt.