分数阶导数沥青胶浆低温黏弹性损伤蠕变模型  

Fractional Order Derivative Viscous-elastic Damage Creep Model of Asphalt Mortar at Low Temperatures

作　　者：李锐铎 乐金朝[2] 李利勤 李威 

机构地区：[1]河南城建学院土木与交通工程学院,河南平顶山467036 [2]郑州大学水利与环境学院,河南郑州450002 [3]平顶山市质量技术监督检验测试中心,河南平顶山467000

出　　处：《应用基础与工程科学学报》2017年第4期770-779,共10页Journal of Basic Science and Engineering

基　　金：教育部"长江学者和创新团队发展计划"创新团队项目(IRT1186);水利与交通基础设施安全防护河南省协同创新中心项目(2012-6);河南省交通运输厅科技计划项目(2016J2)

摘　　要：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.The relationship between empirical power derivative Abel sticky pot were established, and function creep model and the fractional order the physical meaning of parameters of the power function was determined based on the fractional order derivative theory. A new fractional order derivative viscous-elastic damage creep model in power function equation was built by using Weibull distribution function. The bending beam rheological tests of asphalt mortar with different filler-bitumen ratios of 0. 82,1.02,1.22 and 1.42 at -6~C, - 12~C and - 18~C were carried out to measure asphalt mortar low temperature rheological properties. Then the new damage creep model parameters were determined and analyzed based on the test results. It shows that the new fractional order derivative viscous-elastic damage creep model can accurately describe bending creep stiffness curve at different temperatures.

关 键 词：沥青胶浆 弯曲梁流变试验 分数阶导数 幂函数 损伤蠕变模型 

分 类 号：TU414[建筑科学—岩土工程]