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Geomechanics and Engineering
  Volume 4, Number 1, March 2012, pages 67-78
DOI: http://dx.doi.org/10.12989/gae.2012.4.1.067
 


Settlement analysis of viscoelastic foundation under vertical line load using a fractional Kelvin-Voigt model
Hong-Hu Zhu, Lin-Chao Liu, Hua-Fu Pei and Bin Shi

 
Abstract
    Soil foundations exhibit significant creeping deformation, which may result in excessive settlement and failure of superstructures. Based on the theory of viscoelasticity and fractional calculus, a fractional Kelvin-Voigt model is proposed to account for the time-dependent behavior of soil foundation under vertical line load. Analytical solution of settlements in the foundation was derived using Laplace transforms. The influence of the model parameters on the time-dependent settlement is studied through a parametric study. Results indicate that the settlement-time relationship can be accurately captured by varying values of the fractional order of differential operator and the coefficient of viscosity. In comparison with the classical Kelvin-Voigt model, the fractional model can provide a more accurate prediction of long-term settlements of soil foundation. The determination of influential distance also affects the calculation of settlements.
 
Key Words
    soil foundation; fractional viscoelastic model; the Flamant-Boussinesq solution; settlement; Laplace transform
 
Address
Hong-Hu Zhu and Bin Shi : School of Earth Sciences and Engineering, Nanjing University, Nanjing, China
Lin-Chao Liu : School of Civil Engineering, Xinyang Normal University, Xinyang, China
Hua-Fu Pei : Department of Civil and Structural Engineering, The Hong Kong Polytechnic University, Hong Kong, China
 

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