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Journal of Zhejiang University SCIENCE A 2003 Vol.4 No.2 P.195~201

http://doi.org/10.1631/jzus.2003.0195


Computation of one-dimensional consolidation of double layered ground using differential quadrature method


Author(s):  WANG Hong-zhi, CHEN Yun-min, HUANG Bo

Affiliation(s):  Institute of Geotechnical Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   climber@ccea.zju.ed.cn

Key Words:  Double-layered ground, One-dimensional consolidation, Differential quadrature method


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WANG Hong-zhi, CHEN Yun-min, HUANG Bo. Computation of one-dimensional consolidation of double layered ground using differential quadrature method[J]. Journal of Zhejiang University Science A, 2003, 4(2): 195~201.

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%A HUANG Bo
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T1 - Computation of one-dimensional consolidation of double layered ground using differential quadrature method
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A1 - HUANG Bo
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2003.0195


Abstract: 
The authors give the solution to the problem of one-dimensional consolidation of double-layered ground with the use of the differential quadrature method. Case studies showed that the computational results for pore-water pressure in soil layer agreed with those of analytical solution; and that in the computational results for the interface of soil layer also agreed with those of the analytical solution except for the small discrepancies during shortly after the start of computation. The advantages of the solution presented in this paper are that compared with the analytical solution, it avoids the cumbersome work in solving the transcendental equation for eigenvalues, and in the case of the Laplace transform solution, it can resolve the precision problem in the numerical solution of long time inverse Laplace transform. Because of the matrix form of the solution in this paper, it is convenient for formulating computational program for engineering practice. The formulas for calculating double-layered ground consolidation may be easily extended to the case of multi-layered soils.

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Reference

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[2]Baligh, M. M. and Levadoux, J. N., 1978. Consolidation theory for cycling loading. Journal of Geotechnical Engineering Division ASCE, 104(4): 415-421.

[3]Bellman, R. and Casti, J., 1971. Differential quadrature and long-term integration. J. Math. Anal. Appl., 34: 235-238.

[4]Bellman, R., Kashef, B. G. and Casti, J., 1972. Differential quadrature: A technique for the rapid solution of nonlinear partial differential equation. J. Comput. Phys., 10: 40-52.

[5]Gray, H., 1945. Simultaneous consolidation of contiguous layers of unlike compressible soils. Trans. ASCE, 110: 1327-1356.

[6]Quan, J. R. and Chang, C. T., 1989. New insights in solving distributed system equations by the quadrature method - I. Analysis. Comput. Chem. Eng., 13: 779-788.

[7]Wilson, N. E. and Elaohary, M. M., 1974. Consolidation of soils under cyclic loading. Canadian Geotechnique, 2: 420-423.

[8]Wu, S. M., Chen, L. Z. and Yang, D., 1988. The one-dimensional consolidation of saturated clay under cycling load. Journal of Zhejiang University, 22(5): 60-70(in Chinese).

[9]Xie, K. H., 1994. Theory of dimensional consolidation of double-layered ground and its application. Chinese Journal of Geotechnical Engineering, 16(5): 24-35(in Chinese).

[10]Xie, K. H., Xie, X. Y. and Gao, X., 1999. Theory of one-dimensional consolidation of two layered soil with partially drained boundaries. Computers and Geotechnics, 24: 265-278.

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