Plane Strain and Axially Symmetric Problems of the Consolidation of a Semi-Infinite Clay Stratum

McNamee, John; Gibson, R. E

doi:10.1093/qjmam/13.2.210

Cited by 203 publications

(69 citation statements)

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“…The analytical solutions given by McNamee and Gibson [35,36] are also presented for comparison. It is observed that, the accuracy of pore water pressures obtained from these three methods are nearly the same for high Poisson's ratio.…”

Section: Consolidation Problems Involving Materials With High Poissonmentioning

confidence: 99%

Hybrid and enhanced finite element methods for problems of soil consolidation

Zhou

Chow

Leung

2006

Numerical Meth Engineering

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SUMMARYHybrid and enhanced finite element methods with bi-linear interpolations for both the solid displacements and the pore fluid pressures are derived based on mixed variational principles for problems of elastic soil consolidation. Both plane strain and axisymmetric problems are studied. It is found that by choosing appropriate interpolation of enhanced strains in the enhanced method, and by choosing appropriate interpolations of strains, effective stresses and enhanced strains in the hybrid method, the oscillations of nodal pore pressures can be eliminated. Several numerical examples demonstrating the capability and performance of the enhanced and hybrid finite element methods are presented. It is also shown that for some situations, such as problems involving high Poisson's ratio and in other related problems where bending effects are evident, the performance of the enhanced and hybrid methods are superior to that of the conventional displacement-based method. The results from the hybrid method are better than those from the enhanced method for some situations, such as problems in which soil permeability is variable or discontinuous within elements. Since all the element parameters except the nodal displacements and nodal pore pressures are assumed in the element level and can be eliminated by static condensation, the implementations of the enhanced method and the hybrid method are basically the same as the conventional displacement-based finite element method. The present enhanced method and hybrid method can be easily extended to non-linear consolidation problems.

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Section: Consolidation Problems Involving Materials With High Poissonmentioning

confidence: 99%

Hybrid and enhanced finite element methods for problems of soil consolidation

Zhou

Chow

Leung

2006

Numerical Meth Engineering

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“…For a horizontally layered soil the five elastic moduli and the horizontal and vertical permeabilities may vary with depth (2) but are constant in any horizontal plane.…”

Section: The Finite Elementmentioning

confidence: 99%

Finite layer analysis of consolidation. I

Booker

Small

1982

Num Anal Meth Geomechanics

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SUMMARYA method for the analysis of the consolidation of a horizontally layered soil under plane conditions is developed. The method depends upon the transformation of the governing equations by a Fourier transform. This transformation has the effect of reducing the partial differential equations of consolidation to ordinary differential equations. The ordinary differential equations are then solved using a finite layer or finite difference approach. Once the solution in the transformed plane has been found the actual solution is synthesized by Fourier inversion. The method leads to a considerable reduction in the amount of core storage necessary for solution and enables the solution of quite significant problems to be obtained on a mini-computer.

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“…A logical extension of Terzaghi's one-dimensional consolidation theory to three-dimensional situations is due to Biot's fully coupled poroelastic formulation [2]. Several authors [3][4][5][6] have obtained closed-form analytical solutions using an isotropic linear elastic constitutive law for the soil in Biot's theory. Because of the complexity of the coupled set of partial differential equations, analytical solutions are not available for most boundary conditions and=or more complicated soil behaviour, so many researchers resort to numerical techniques.…”

Section: Introductionmentioning

confidence: 99%

Consolidation analysis of a cross‐anisotropic homogeneous elastic soil using a finite layer numerical method

Mei

Yin

Jin-min

et al. 2003

Num Anal Meth Geomechanics

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SUMMARYThis paper presents a finite layer procedure for Biot's consolidation analysis of layered soils using a crossanisotropic elastic constitutive model. The program is first verified using published results. Then, using this program, the influences of cross-anisotropy on the immediate settlement, the final settlement, and the consolidation behaviour are investigated by changing one model parameter at one time. The results obtained using the cross-anisotropic elastic model are compared with results using an isotropic elastic model. It is found that the cross-anisotropy has very large influences on the immediate settlement, the final settlement, and the consolidation behaviour. Curves or tables of the immediate settlement coefficients, the final settlement coefficients, and the average degree of consolidation are obtained and presented in the paper. These curves or tables can be easily used to estimate the immediate settlement, the final settlement, and the consolidation settlement of a cross-anisotropic soil.

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Plane Strain and Axially Symmetric Problems of the Consolidation of a Semi-Infinite Clay Stratum

Cited by 203 publications

References 0 publications

Hybrid and enhanced finite element methods for problems of soil consolidation

Hybrid and enhanced finite element methods for problems of soil consolidation

Finite layer analysis of consolidation. I

Consolidation analysis of a cross‐anisotropic homogeneous elastic soil using a finite layer numerical method

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