Abstract
Classical consolidation theory ignores the influence of soil liquid phase acceleration. This paper considers the influence of liquid phase acceleration on the stress balance equation during the consolidation of soil, obtains the one-dimensional equation governing quasi-hydrostatic consolidation under large deformation with the consideration of the inertia of the liquid phase, and solves the governing equations by finite element method. The calculation results show that the liquid phase inertia effect of the soil will cause excess pore pressure in the soil, obviously increasing in the initial stage of consolidation, and the self-weight of soil exerts an influence on the excess pore pressure at the later stages of consolidation. The liquid phase inertia effect parameter Dc determines the strength of the liquid phase inertia effect. A larger Dc value results in a larger increase in the excess pore pressure, and the later the liquid phase inertial effect occurs, the longer the duration is. In the large strain consolidation analysis, especially at the initial stage of consolidation, it is necessary to consider the liquid phase inertia effect of the soil.
Highlights
Terzaghi [1] presented his classical consolidation theory of soil in 1925; the physical process of soil consolidation shall be further considered for modifying and improving Terzaghi’s theory
Erefore, equation (32) can calculate the liquid phase inertia effect in large deformation consolidation, but it does not reflect the impact of self-weight
Mechanism Interpretation on the Mandel–Cryer Effect. e Mandel–Cryer effect refers to the phenomenon that the excess pore pressure increases instead of dissipating during the initial stage of soil consolidation under certain conditions
Summary
Terzaghi [1] presented his classical consolidation theory of soil in 1925; the physical process of soil consolidation shall be further considered for modifying and improving Terzaghi’s theory. Many scholars analyze the physical process of soil consolidation under large strain and study the nonlinear problems therein. Morris [7] analyzed the relationship between the void ratio of soil and effective stress with a semilogarithmic relationship, which is related to strain rate and temperature [8], and proposed the governing equations of nonlinear consolidation theory under large deformation. Ding [18] further obtained the governing equation of soil consolidation under small strain based on the soil equilibrium equation considering the inertia of the liquid phase. In this paper, based on Gibson’s nonlinear large deformation consolidation theory, by analyzing the impact of the inertia of the liquid phase in the physical process of soil consolidation, the one-dimensional consolidation governing equation with pore pressure as the control variable under large deformation considering the inertia of liquid phase is established. Numerical calculation is adopted to calculate the governing equation, and the development law of excess pore water pressure at the initial stage of soil consolidation is analyzed to demonstrate the impact of the inertia of the liquid phase on the soil consolidation process. e finite element software FlexPDE is employed in the paper to solve the partial differential equation, which is a flexible solution system for partial differential equation, and FlexPDE 7.07 professional version was used in this paper
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