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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  

Zhu, Hong-Hu (School of Earth Sciences and Engineering, Nanjing University)
Liu, Lin-Chao (School of Civil Engineering, Xinyang Normal University)
Pei, Hua-Fu (Department of Civil and Structural Engineering, The Hong Kong Polytechnic University)
Shi, Bin (School of Earth Sciences and Engineering, Nanjing University)
Publication Information
Geomechanics and Engineering / v.4, no.1, 2012 , pp. 67-78 More about this Journal
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.
Keywords
soil foundation; fractional viscoelastic model; the Flamant-Boussinesq solution; settlement; Laplace transform;
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