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Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.3 P.222~228

10.1631/jzus.2005.A0222


Solution of a rigid disk on saturated soil considering consolidation and rheology


Author(s):  GAO Shao-wu, WANG Jian-hua, ZHOU Xiang-lian

Affiliation(s):  Department of Civil Engineering, Shanghai Jiaotong University, Shanghai 200030, China

Corresponding email(s):   wjh417@sjtu.edu.cn

Key Words:  Saturated soil, Rigid disk, Biot consolidation theory, Hankel transform, Rheology


GAO Shao-wu, WANG Jian-hua, ZHOU Xiang-lian. Solution of a rigid disk on saturated soil considering consolidation and rheology[J]. Journal of Zhejiang University Science A, 2005, 6(3): 222~228.

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DOI - 10.1631/jzus.2005.A0222


Abstract: 
The problem of a rigid disk acting with normal force on saturated soil was studied using biot consolidation theory and integral equation method and the Merchant model to describe the saturated soil rheology. Using integral transform techniques, general solutions of Biot consolidation functions and the dual integral equations of a rigid disk on saturated soil were established based on the boundary conditions. These equations can be simplified using Laplace-Hankel and Abel transform methods. The numerical solutions of the integral equations, and the corresponding inversion transform were used to obtain the settlement and contact stresses of the rigid disk. Numerical examples showed that the soil settlement is small if only consolidation is considered, so the soil rheology must be taken into account to calculate the soil settlement. Numerical solution of Hankel inverse transform is also given in this paper.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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[10] McNamee, J., Gibson, R.E., 1960a. Displacement function and linear transform applied to diffusion through porous elastic media. Quart J Mechanics and Applied Mathematics, 13:98-111.

[11] McNamee, J., Gibson, R.E., 1960b. Plane strain and axially symmetric problems of the consolidation of a semi-infinite clay stratum. Quart J Mechanics and Applied Mathematics, 13:210-227.

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[14] Sneddon, I.N., 1972. The Use of Integral Transforms. McGraw-Hill, New York.

[15] Yang, X.P., Yang, W.G., 1995. Analyses of circular rigid footings on nonlinear subsoil. Journal of South China University Technology (Natural Science), 23:84-90 (in Chinese).

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Deni<denisgontarev@gmail.com>

2014-08-25 13:48:34

Good article, intersting solution

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