One-Dimensional Consolidation of Visco-Elastic Marine Clay Under Depth-Varying and Time-Dependent Load

Liu, Jia-Cai; Gan, Lei; Wang, Xudong

doi:10.1080/1064119x.2013.877109

Cited by 19 publications

(11 citation statements)

References 14 publications

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“…In these studies above, the soil was modeled as a linear elastic (LE) material to arrive at the simplified theoretical solutions, although it has been shown to exhibit obvious viscoelastic behavior during the consolidation and compression processes. [13][14][15] In the past decades, a number of researches have been undertaken to develop the consolidation theories considering the viscoelastic behavior of the soil, 6,[16][17][18][19][20][21] but most of them have been focused on one-dimensional (1D) consolidation. For the consolidation by vertical drains, Qian et al 19 extended the axis-symmetrical consolidation theory by accounting for the viscoelastic behavior of the soil; Liu et al 20 adopted the standard Merchant (SM) model to develop the consolidation theory of viscoelastic soil by vertical drains; Wang and Xie 21 dealt with the consolidation of viscoelastic soil by vertical drains considering a semi-permeable boundary.…”

Section: Introductionmentioning

confidence: 99%

Consolidation of viscoelastic soil by vertical drains incorporating fractional‐derivative model and time‐dependent loading

Huang

2018

Num Anal Meth Geomechanics

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Summary This paper presents a general solution to the consolidation system of viscoelastic soil by vertical drains incorporating a fractional‐derivative model and arbitrary time‐dependent loading. The fractional‐derivative Merchant model is introduced to describe the viscoelastic behavior of saturated soil around the vertical drains. Based on this model, the governing partial differential equation of a consolidation system incorporating vertical and horizontal drainage is obtained for the equal strain condition. Then, a general solution to the consolidation system involving arbitrary time‐dependent loading is derived using the Laplace transform technique and eigenfunction expansion method. Further, two comparisons are presented to verify the exactness of the proposed solution, and the consolidation behavior involving four time‐dependent loadings is illustrated and discussed.

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Section: Introductionmentioning

confidence: 99%

Consolidation of viscoelastic soil by vertical drains incorporating fractional‐derivative model and time‐dependent loading

Huang

2018

Num Anal Meth Geomechanics

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“…Li et al (2012) used the finite-difference method to consider the change of vertical total stress with depth and time together in 1D consolidation of a double-layered soil with non-Darcian flow. Liu et al (2014) derived analytical solutions for consolidation of marine clay under linear depth-varying and timedependent load.…”

Section: Introductionmentioning

confidence: 99%

A general solution for 1D consolidation induced by depth- and time-dependent changes in stress

Liu¹,

Griffiths²

2015

Géotechnique

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The paper describes a general analytical solution for obtaining the excess pore pressure in a consolidating layer due to depth and time-dependent changes of total stress, given by a simple product of depth-and time-dependent functions. The solution is validated against three previously published solutions, and the paper ends with analysis of a case history involving settlement and consolidation beneath a periodically loaded silo. Good agreement is observed between the analytical solution and measured settlements, and the transient response is also validated against a finite-element solution.

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“…However, appropriate consideration of chemical reactions in a realistic CHM model can lead to mathematical difficulties in obtaining analytical solutions. [33][34][35][36] For this reason, a simplified CHM model, [39][40][41][42][43] in which chemical reactions are neglected, is used to consider the viscoelasic behavior of a clay layer in this study. In this paper, the integer Kelvin viscoelastic model was combined with the simplified CHM model to establish a simplified CHM coupled model considering the viscoelastic deformation of the fluid-saturated soil.…”

Section: Introductionmentioning

confidence: 99%

Semi‐analytical solution for a simplified 1D chemo‐hydro‐mechanical model in fluid‐saturated viscoelastic clay

Zheng

Wang

Yang

et al. 2023

Num Anal Meth Geomechanics

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In this paper, a simplified chemo‐hydro‐mechanics (CHM) model, in which only solute concentration is considered in the aspect of chemistry, is proposed to reflect the viscoelastic deformation of clay soil. By using the proposed model, the responses of the excess pore‐fluid pressure, solute concentration, and displacement of the viscoelastic clay soil are derived through the Laplace transform method. Then, semi‐analytical solutions, in the time domain, are obtained via the inverse Laplace transform numerically. The influences of viscosity on excess pore‐fluid pressure, solute concentration, and displacement are investigated through an illustrative example. The results show that: (1) the clay soil in low viscosity can be simplified as an elastic model; (2) the higher viscosity not only accelerates the dissipation of excess pore‐fluid pressure, but also slows down the deformation of the clay soil; (3) the viscosity of clay soil poses little impact on the distribution of solute concentration.

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One-Dimensional Consolidation of Visco-Elastic Marine Clay Under Depth-Varying and Time-Dependent Load

Cited by 19 publications

References 14 publications

Consolidation of viscoelastic soil by vertical drains incorporating fractional‐derivative model and time‐dependent loading

Consolidation of viscoelastic soil by vertical drains incorporating fractional‐derivative model and time‐dependent loading

A general solution for 1D consolidation induced by depth- and time-dependent changes in stress

Semi‐analytical solution for a simplified 1D chemo‐hydro‐mechanical model in fluid‐saturated viscoelastic clay

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