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Geomechanics and Engineering Volume 4, Number 1, March 2012 , pages 67-78 DOI: https://doi.org/10.12989/gae.2012.4.1.067 |
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Settlement analysis of viscoelastic foundation under vertical line load using a fractional Kelvin-Voigt model |
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Hong-Hu Zhu, Lin-Chao Liu, Hua-Fu Pei and Bin Shi
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| 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 | ||