Abstract
This paper presents analytical solutions for nonlinear radial consolidation of soft soil with vertical drains under various cyclic loadings. By considering the nonlinear variations of compressibility and permeability expressed by the logarithm relations (e−log σ′ande−log kh), the governing equation for nonlinear radial consolidation of the soil under equal strain and time-dependent loading is established. The analytical solutions are derived for nonlinear radial consolidation under haversine cyclic loading, trapezoidal cyclic loading, rectangular cyclic loading, and triangular cyclic loading. The presented solution is verified through the degeneration into the existing solutions for nonlinear radial consolidation under constant and ramp loadings, which shows the solution proposed in this paper is more general for nonlinear radial consolidation under time-dependent loading. The nonlinear radial consolidation behavior of the soil with vertical drains subjected to various cyclic loadings is investigated using the solutions developed. The proposed solutions can be effectively utilized in the analysis of nonlinear radial consolidation under various cyclic loadings.
Highlights
In most coastal and marine areas, the soils beneath many structures are highly compressible and may be subjected to complicated cyclic loadings, such as filling and discharging in silos, tanks, and reservoirs, traffic loads on embankments, highways, railways, or airports, wave and wind actions for offshore structures, pile construction, and machine vibrations. e consolidation behavior of the soft soil under cyclic loadings is very complex and has been studied for many years
A lot of scholars have conducted research on one-dimensional (1D) consolidation of soft soil subjected to cyclic loadings based on either the linear consolidation theory [1,2,3,4,5,6] or the nonlinear consolidation theory [7,8,9,10,11,12,13,14,15,16]
Vertical drains are widely used for improvement of soft soil, and the radial consolidation behavior of the soil with vertical drains under cyclic loadings has been investigated by many researchers
Summary
In most coastal and marine areas, the soils beneath many structures are highly compressible and may be subjected to complicated cyclic loadings, such as filling and discharging in silos, tanks, and reservoirs, traffic loads on embankments, highways, railways, or airports, wave and wind actions for offshore structures, pile construction, and machine vibrations. e consolidation behavior of the soft soil under cyclic loadings is very complex and has been studied for many years. In order to obtain the analytical solution for nonlinear radial consolidation of the soil with vertical drains subjected to time-dependent loading, the main assumptions are summarized as follows:. Where cw is the unit weight of water; us and un are the excess pore water pressure within the smear zone and the influence zone, respectively; ε is the vertical strain of the soil and the vertical drain; r is the radial distance from the center of the vertical drain; t is the time. E initial condition for the average excess pore water pressure can be expressed as u(r, 0) q(0) u0
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