Semi-analytical solution for one-dimensional consolidation of fractional derivative viscoelastic saturated soils |
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| Institution: | 1. Department of Hydraulic and Ocean Engineering, National Cheng Kung University, Tainan 701, Taiwan;2. Department of Civil and Environmental Engineering, University of California, Berkeley, CA 94720-1710, USA;3. Earth Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA;4. Industrial Technology Research Institute, Information and Communications Research Laboratories, Tainan 70955, Taiwan |
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| Abstract: | This paper presents a semi-analytical solution to one-dimensional consolidation equation of fractional derivative Kelvin-Voigt viscoelastic saturated soils subjected to different time-dependent loadings. The theory of fractional calculus is first introduced to Kelvin-Voigt constitutive model to describe consolidation behavior of viscoelastic saturated soils. By applying Laplace transform upon the one-dimensional consolidation equation of saturated soils, the analytical solutions of effective stress and settlement in the Laplace transform domain are obtained. The present solutions are more general and have good agreements with available solutions from the literature, and are degenerated into ones for one-dimensional consolidation of elastic and viscoelastic saturated soils. |
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| Keywords: | Semi-analytical solution Fractional derivative viscoelasticity Saturated soil One-dimensional consolidation Time-dependent loading |
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