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基于分数阶导数理论,建立了幂函数经验蠕变模型与分数阶导数Abel黏壶蠕变模型之间的关系,明确了幂函数各参数的物理意义.引入Weibull分布函数构建了新的分数阶导数幂函数经验黏弹性损伤蠕变模型.通过对粉胶比分别为0.82、1.02、1.22和1.42的沥青胶浆进行在-6℃、-12℃和-18℃温度条件下的弯曲梁流变试验,对新的损伤蠕变模型参数进行了辩识与比较分析.结果表明:新构建的分数阶导数幂函数经验黏弹性损伤蠕变模型能够更加精确地描述沥青胶浆在低温条件下的弯曲蠕变劲度曲线.
Based on the theory of fractional derivative, the relationship between empirical creep model of power function and creep model of fractional derivative Abel sticky kettle was established, and the physical meaning of parameters of power function was clarified. The new fractional derivative was introduced by introducing Weibull distribution function Power Function Empirical Viscoelastic Damage Creep Model The flexural beam rheological tests at -6 ℃, -12 ℃ and -18 ℃ were conducted on asphalt mortars with the ratios of powder to binder of 0.82, 1.02, 1.22 and 1.42, respectively , The parameters of the new damage creep model are identified and compared.The results show that the newly constructed fractional derivative power function empirical viscoelastic damage creep model can describe the flexural creep of asphalt cement more accurately under low temperature Variable stiffness curve.