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

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Abstract:

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.

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1056-1059

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October 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] L. Liu, Q. Yan, H. Sun, Study on model of rheological Property of soft clay, Rock and Soil Mechanics, 10 (2006) 214-217.

Google Scholar

[2] K. Ma, X. Wan, W. Jia, et al, Advances in rock creep model research and discussion on some issues, Coal Geology of China, 10 (2011) 43-47.

Google Scholar

[3] H. Jin, Some Applications of Methods of Fractional Calculus to Research on Non-Newtonian Fluid Mechanics and Viscoelastic Materials, Jinan: Shandong University, (2003).

Google Scholar

[4] P. G. Nutting, A new generalized law deformation, Franklin Institute, 191 (1921) 675-685.

Google Scholar

[5] A. Gemant, On fractional differences, Phil. Mag, 25 (1938) 92-96.

Google Scholar

[6] R. L. Bagley, P. J. Torvik, A theoretical basis for the application of fractional calculus to viscoelasticity, Journal of Rheology, 3 (1983) 201-230.

DOI: 10.1122/1.549724

Google Scholar

[7] R. L. Bagley, P. J. Torvik, On the fractional calculus model of viscoelasticity behavior, Journal of Rheology, 1 (1986) 133-155.

Google Scholar

[8] R. L. Bagley, Power law and fractional calculus model of viscoelasticity, AIAA Journal, 10 (1989) 1412-1417.

DOI: 10.2514/3.10279

Google Scholar

[9] L. Liu, Q. Yao, Q. Yan, P. Yu, Study on vertical complex stiffness and admittance of single pile in soil based on constitutive equation with integral fractional derivatives, Journal of Hydraulic Engineering, 7 (2012) 796-802.

Google Scholar

[10] Teresa M. Bodas Freitas, David M. Potts, Lidija Zdravkovic, A time dependent constitutive model for soils with isotach viscosity, Computers and Geotechnics, 38 (2011) 809–820.

DOI: 10.1016/j.compgeo.2011.05.008

Google Scholar