A Nonlinear Viscoelastic Rheological Model of Soft Soil based on Fractional Order Derivative

被引:5
作者
Li, Ruiduo [1 ,2 ]
Yue, Jinchao [1 ]
Zhu, Cunzhen [2 ]
Sun, Zhenyang [2 ]
机构
[1] Zhengzhou Univ, Coll Water Conservancy Environm Engn, Zhengzhou 450002, Henan, Peoples R China
[2] Henan Univ Urban, Coll Transport Engn, Pingdingshan 467036, Peoples R China
来源
CIVIL ENGINEERING, ARCHITECTURE AND SUSTAINABLE INFRASTRUCTURE II, PTS 1 AND 2 | 2013年 / 438-439卷
关键词
soft soil; creep; Abel glue pot; three components fractional order derivative solid model; CALCULUS MODEL;
D O I
10.4028/www.scientific.net/AMM.438-439.1056
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
In order to overcome the defects of the classical model in the description of the rheological properties of soft soil, an Abel glue pot was defined based on the fractional derivative theory by the fractional calculus of Riemann-Liouville. Three components fractional order derivative solid model was built with Abel glue pot. Then the experimental data was fit using the new model. The simulation results show that the three components fractional order derivative solid model is more accurately than the generalized Kelvin model or Burgers model and that it has few parameters.
引用
收藏
页码:1056 / +
页数:2
相关论文
共 10 条
[1]   A THEORETICAL BASIS FOR THE APPLICATION OF FRACTIONAL CALCULUS TO VISCOELASTICITY [J].
BAGLEY, RL ;
TORVIK, PJ .
JOURNAL OF RHEOLOGY, 1983, 27 (03) :201-210
[2]   ON THE FRACTIONAL CALCULUS MODEL OF VISCOELASTIC BEHAVIOR [J].
BAGLEY, RL ;
TORVIK, PJ .
JOURNAL OF RHEOLOGY, 1986, 30 (01) :133-155
[3]   POWER LAW AND FRACTIONAL CALCULUS MODEL OF VISCOELASTICITY [J].
BAGLEY, RL .
AIAA JOURNAL, 1989, 27 (10) :1412-1417
[4]   A time dependent constitutive model for soils with isotach viscosity [J].
Bodas Freitas, Teresa M. ;
Potts, David M. ;
Zdravkovic, Lidija .
COMPUTERS AND GEOTECHNICS, 2011, 38 (06) :809-820
[5]  
Gemant A., 1938, PHILOS MAG, V25, P92
[6]  
Jin H., 2003, SOME APPL METHODS FR
[7]  
Liu L., 2012, J HYDRAULIC ENG, V7, P796
[8]  
Liu L., 2006, ROCK SOIL MECH, V10, P214
[9]  
Ma K., 2011, COAL GEOLOGY CHINA, V23, P43, DOI [10.1016/j.coal.2010.09.007, DOI 10.3969/J.ISSN.1674-1803.2011.10.10]
[10]  
Nutting P. G., 1921, FRANKLIN I, V191, P675