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路基压实土分数阶微积分流变本构模型研究
Study on Rheological Constitutive Model of High-filled Subgrade Compacted Soil Based on Fractional Calculus
【Author】 WANG Zhichao~(1**),LUO Yingshe~(2***),TANG Songhua~3,GONG Weifeng~4 (1.College of Civil Engineering and Mechanics,Xiangtan University,Xiangtan 411105,China;2.Institute of Rheological Mechanics and Material Engineering,Central South University of Forestry and Technology,Changsha 410004,China; 3.Institute of Civil Engineering,Central South University,Changsha 410075,China; 4.Construction bureau of high-tech development zone,Yiyang 413000,China)
【机构】 湘潭大学土木工程与力学学院; 中南林业科技大学流变力学与材料工程研究所; 中南大学土木建筑学院; 益阳高新区建设局;
【摘要】 基于分数阶微积分理论和Mittag-Leffler函数,建立了两种简化的类Maxwell和Kelvin的分数阶微积分流变本构模型,并结合路基压实土的剪切固结蠕变实验,将类Maxwell模型用于路基压实土的本构模型构建,得到了相关模型参数。结果表明分数阶微积分流变本构模型参数少、拟合精度高、形式简明,具有较好的工程应用价值。
【Abstract】 Based on fractional calculus theory and Mittag-Leffler function,two kinds of predigested rheological constitutive model of similar Maxwell and Kelvin were set up.Further more,the constitutive model of subgrade compacted soil was built up with similar Maxwell model,and its model parameters were also gained.The results show that the established rheological constitutive model of fractional exponent fits the experimental data with accuracy by a few of parameters and simple format,so it has a good application value in engineering.
【Key words】 Subgrade compacted soil; Rheological constitutive model; Fractional calculus; Creep;
- 【会议录名称】 中国流变学研究进展(2010)
- 【会议名称】第十届全国流变学学术会议
- 【会议时间】2010-11-13
- 【会议地点】中国浙江杭州
- 【分类号】U416.1
- 【主办单位】中国化学会流变学专业委员会、中国力学学会流变学专业委员会