Abstract
This paper presents analytical solutions to Fredlund and Hasan’s one-dimensional consolidation equations for unsaturated soils subjected to various cyclic loadings. Two new variables are introduced so that the governing equations for excess pore air and water pressures can be transformed to a set of conventional diffusion equations. Based on the general solutions for two introduced variables, the analytical solutions are derived for one-dimensional consolidation of unsaturated soils under trapezoidal, rectangular, triangular, and haversine cyclic loadings. It shows through the degeneration into the existing solutions for unsaturated and saturated soils that the proposed solutions are more general ones for one-dimensional consolidation of soils from unsaturated to saturated states. A comprehensive parametric study is conducted to investigate the effects of different parameters on one-dimensional consolidation of unsaturated soils under various cyclic loadings. The proposed solutions can be effectively utilized in the analysis of consolidation of unsaturated soils subjected to various cyclic loadings.
Highlights
In this paper, based on the consolidation theory proposed by Fredlund and Hasan [20], analytical solutions are derived for one-dimensional consolidation of unsaturated soils under various cyclic loadings, such as trapezoidal, rectangular, triangular, and haversine cyclic loadings. e proposed solutions are degenerated into the existing solutions for unsaturated soils under constant and ramp loadings and for saturated soils under haversine cyclic loading. en, a comprehensive parametric study is conducted to investigate the effects of different parameters on one-dimensional consolidation of unsaturated soils under various cyclic loadings
Analytical solutions are derived for one-dimensional consolidation of unsaturated soils subjected to various cyclic loadings
It shows through the degeneration into the existing solutions for both unsaturated and saturated soils that the proposed solutions are reliable and more general for one-dimensional consolidation of soils from unsaturated to saturated states under time-dependent loading. e effects of different parameters on one-dimensional consolidation of unsaturated soils under various cyclic loadings are investigated. e main conclusions can be drawn as follows: (1) e coefficients ratio of permeability for air phase and water phase, ka/kw has sufficient effects on consolidation of the unsaturated soil layer under cyclic loadings. e dissipation rates of excess pore water and air pressures increase with the fluctuation when ka/kw increases
Summary
Soils beneath many structures may be subjected to complicated cyclic loadings. ese cyclic loadings are induced by different vibration sources, such as filling and discharging in silos, tanks, and reservoirs; traffic loads on highways, railways, or airports; wave action for offshore structures; wind forces in high buildings; pile construction; and machine vibrations. e consolidation characteristics of soils subjected to cyclic loadings are very complex and different from those of soils under simple time-dependent loadings. us, consolidation behavior of subsoils under cyclic loadings has drawn considerable attention and has become the focus of academic research. Based on the nonlinear consolidation theory proposed by Davis and Raymond [17], Xie et al [8], Conte and Troncone [11], Cheng et al [13], and Kim et al [15] investigated onedimensional nonlinear consolidation of saturated soil subjected to various cyclic loadings. On the contrary, based on the coupled consolidation model of poroelasticity, Lo et al [44] proposed a closed-form analytical solution for onedimensional consolidation of unsaturated soil under harmonic cyclic loading Despite these advances, it seems that research on consolidation of unsaturated soils subjected to different cyclic loadings is very limited. In this paper, based on the consolidation theory proposed by Fredlund and Hasan [20], analytical solutions are derived for one-dimensional consolidation of unsaturated soils under various cyclic loadings, such as trapezoidal, rectangular, triangular, and haversine cyclic loadings. In this paper, based on the consolidation theory proposed by Fredlund and Hasan [20], analytical solutions are derived for one-dimensional consolidation of unsaturated soils under various cyclic loadings, such as trapezoidal, rectangular, triangular, and haversine cyclic loadings. e proposed solutions are degenerated into the existing solutions for unsaturated soils under constant and ramp loadings and for saturated soils under haversine cyclic loading. en, a comprehensive parametric study is conducted to investigate the effects of different parameters on one-dimensional consolidation of unsaturated soils under various cyclic loadings
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
