One-Dimensional Consolidation of Viscoelastic Soils Incorporating Caputo-Fabrizio Fractional Derivative

Huang, Minghua; Lv, Chang; Zhou, Shaoying; Zhou, Shuaikang; Kang, Jiatao

doi:10.3390/app11030927

Cited by 3 publications

(2 citation statements)

References 20 publications

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“…13,14 Later, the one-dimensional (1D) consolidation characteristics under different conditions were investigated by scholars with different mathematical methods. [15][16][17][18][19] Huang et al 20 investigated the 1D consolidation of viscoelastic soils containing Caputo-Fabricio fractional derivatives. In addition, some characteristics (including different boundary conditions and loading conditions) in terms of two-dimensional (2D) consolidation of unsaturated soils have been investigated.…”

Section: Introductionmentioning

confidence: 99%

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Analytical solution for the consolidation of unsaturated vertical drain foundation under depth‐dependent initial conditions

Zhou

et al. 2022

Num Anal Meth Geomechanics

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Insufficient bearing capacity of foundations is hazardous for construction engineering, and improper construction scheme can also lead to unexpected problems. Vertical drains are always installed in the soil foundations to accelerate the consolidation process and thus improve the bearing capacity. According to the consolidation theory proposed by Fredlund, the consolidation of unsaturated vertical drain foundation is investigated with analytical solutions, in which smear effect, drain resistance, and depth‐dependent initial excess pore pressures (i.e., excess pore‐air and pore‐water pressures) are considered. In the derivative process, the decoupling method and Fourier series expansion method are applied. The reliability of the current solutions is verified by comparing the degenerate ones with existing solutions. Sensitivity analysis is conducted to assess the consolidation characteristics of the proposed model against modeling sizes, smear coefficients, drain resistance factors, and distribution coefficients. The analytical model has the advantages of simplicity and easy to implement in practical engineering.

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Section: Introductionmentioning

confidence: 99%

“…Later, the one‐dimensional (1D) consolidation characteristics under different conditions were investigated by scholars with different mathematical methods 15–19 . Huang et al 20 . investigated the 1D consolidation of viscoelastic soils containing Caputo–Fabricio fractional derivatives.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for the consolidation of unsaturated vertical drain foundation under depth‐dependent initial conditions

Zhou

et al. 2022

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

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A Novel Approach to the Analysis of the Soil Consolidation Problem by Using Non-Classical Rheological Schemes

2021

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The paper presents classical and non-classical rheological schemes used to formulate constitutive models of the one-dimensional consolidation problem. The authors paid special attention to the secondary consolidation effects in organic soils as well as the soil over-consolidation phenomenon. The systems of partial differential equations were formulated for every model and solved numerically to obtain settlement curves. Selected numerical results were compared with standard oedometer laboratory test data carried out by the authors on organic soil samples. Additionally, plasticity phenomenon and non-classical rheological elements were included in order to take into account soil over-consolidation behaviour in the one-dimensional settlement model. A new way of formulating constitutive equations for the soil skeleton and predicting the relationship between the effective stress and strain or void ratio was presented. Rheological structures provide a flexible tool for creating complex constitutive relationships of soil.

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Viscoelastic Soil–Structure Interaction Procedure for Building on Footing Foundations Considering Consolidation Settlements

2023

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This paper presents a numerical methodology to analyze frame structures supported on footing foundations subjected to slow strains caused by consolidation settlements. A building project on a subsurface layer of soft soil has been analyzed. The Boundary Element Method with the Mindlin fundamental solution has been applied to compute the displacement resulting from the interference between pressure bulbs on the foundation. The rheological Kelvin–Voigt model has also been used for soil–structure interactions. Terzaghi’s Theory of Consolidation was used to fit the displacement–time curves. Finally, the rheological model was coupled through an iterative procedure, employing structural non-linear geometric effects. The results are consistent with settlement predicted effects and revealed that the slow distribution of efforts can cause relevant increases in some regions in the structure of the building.

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One-Dimensional Consolidation of Viscoelastic Soils Incorporating Caputo-Fabrizio Fractional Derivative

Cited by 3 publications

References 20 publications

Analytical solution for the consolidation of unsaturated vertical drain foundation under depth‐dependent initial conditions

Analytical solution for the consolidation of unsaturated vertical drain foundation under depth‐dependent initial conditions

A Novel Approach to the Analysis of the Soil Consolidation Problem by Using Non-Classical Rheological Schemes

Viscoelastic Soil–Structure Interaction Procedure for Building on Footing Foundations Considering Consolidation Settlements

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