Journal of Zhejiang University SCIENCE
(ISSN 1009-3095, Monthly)

2003   Vol. 4   No. 4   p.393-399


Axisymmetric fundamental solutions for a finite layer with impeded boundaries

CHENG Ze-hai(程泽海)(College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310027,China)
CHEN Yun-min(陈云敏)(College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310027,China)
LING Dao-sheng(凌道盛)(College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310027,China)
TANG Xiao-wu(唐晓武)(College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310027,China)

Abstract:Axisymmetric fundamental solutions that are applied in the consolidation calculations of a finite clay layer with impeded boundaries were derived. Laplace and Hankel integral transforms were utilized with respect to time and radial coordinates, respectively in the analysis. The derivation of fundamental solutions considers two boundary-value problems involving unit point loading and ring loading in the vertical. The solutions are extended to circular distributed and strip distributed normal load. The computation and analysis of settlements, vertical total stress and excess pore pressure in the consolidation layer subject to circular loading are presented.
Keywords:Consolidation, Integral transform, Finite layer, Impeded boundaries

CLC Number:TB121 Document ID:A

Foundation Item:Project(No.500117) supported by the National Natural Science Foundation of Zhejiang Province
Author Resume:CHENG Ze-hai (程泽海),E-mail: czh1002@163.com

References:

[1]Biot, M.A., 1941. General theory of three-dimensional consolidation. J.Appl.Phys, 12,155.
[2]Gibson, R. E., Schiffman, R.L.and Pu, S.L., 1970. Plane strain and axially symmetric consolidation of a clay layer on a smooth impermeable Base. Q.J.Mech. Appl.Math, 23:505-519.
[3]Gu,Y.Z. and Jin, B., 1992. Boit consolidation analytical solutions for multi-layer base subject to axisymmetric loading. J. Geotechnical Engineering, 20:17-21.
[4]Huang, C.Z. and Xiao, Y., 1996. Analytical solutions for two dimensional consolidation problems. J. Geotechnical Engineering, 18:47-54.
[5]McNamee, J. and Gibson, R. E., 1960a. Plane strain and axially symmetric problems of the Consolidation of a Semi-infinity Clay Stratum. Q.J. Mech. Appl.Math, 13:210-227.
[6]McNamee, J. and Gibson, R. E., 1960b. Displacement function and linear transforms applied to diffusion Through Porous Elastic Media. Q.J. Mech. Appl. Math., 13: 89-111.
[7]Puswewala, U. G. A.and Rajapakse, R. K. N. D.,1988. Axisymmetric fundamental solutions for a completely saturated porous elastic solid. Int. J. Engng. Sci,26(5):419-436.
[8]Schapery, R.A., 1962. Approximate methods of transform inversion for viscoelastic stress analysis. Proc. 4th U.S.Nat. Cong.on Appl. Mech, p.1075.
[9]Xie, K.H., 1996. One dimensional consolidation analysis of layered soils with impeded boundaries. J.Zhejiang University,30(5):567-575(in Chinese).


Manuscript Received: 2002 Sept. 12

Manuscript Revised: 2002 Dec. 2

Published: 2003 Aug. 30