基于分数阶导数的软土非线性流变本构模型  

Nonlinear Rheological Constitute of Soft Soil Based on Fractional Order Derivative Theory

作　　者：李锐铎[1,2] 乐金朝[1] 

机构地区：[1]郑州大学水利与环境学院,河南郑州450002 [2]河南城建学院交通运输工程学院,河南平顶山467036

出　　处：《应用基础与工程科学学报》2014年第5期856-864,共9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);河南省科技厅基础与前沿技术研究计划项目(132102210391);河南省教育厅科学技术研究重点项目(13B580910)

摘　　要：基于分数阶导数理论构建了新的五元件非线性流变本构模型,给出了该模型的理论解,利用该模型对不同应力水平条件下的香港海相软土和上海淤泥质黏土的试验结果进行了拟合分析.研究结果表明,在低应力条件下,串联的变系数黏壶关闭,模型能够更加精确地描述软土的瞬时蠕变、衰减蠕变和稳态蠕变特性;在高应力条件下,变系数黏壶元件参与工作,模型能够较好地描述软土的加速蠕变特性.并且模型参数较少,确定方法简单,具有较为广泛的适用性.A new fractional order derivative of five components nonlinear rheological model was built based on the fractional order derivative theory and the analytical solution of the model was presented. The fitting analyses were made on the Hongkong soft soil and Shanghai silty clay. The results show that the new fractional order derivative model can more accurately describe the transient creep and attenuation creep in low stress conditions of soft soil. It also can be simulate accelerated creep stage well under the condition of high stress as time dependent variable coefficient of the glue pot participate in the work. It proved that the model has broader applicability.

关 键 词：软土 分数阶导数 变系数黏壶 蠕变 

分 类 号：TU447[建筑科学—岩土工程]