CLC number: TB121
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 0000-00-00
Cited: 1
Clicked: 5402
CHENG Ze-hai, CHEN Yun-min, LING Dao-sheng, TANG Xiao-wu. Axisymmetric fundamental solutions for a finite layer with impeded boundaries[J]. Journal of Zhejiang University Science A, 2003, 4(4): 393-399.
@article{title="Axisymmetric fundamental solutions for a finite layer with impeded boundaries",
author="CHENG Ze-hai, CHEN Yun-min, LING Dao-sheng, TANG Xiao-wu",
journal="Journal of Zhejiang University Science A",
volume="4",
number="4",
pages="393-399",
year="2003",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2003.0393"
}
%0 Journal Article
%T Axisymmetric fundamental solutions for a finite layer with impeded boundaries
%A CHENG Ze-hai
%A CHEN Yun-min
%A LING Dao-sheng
%A TANG Xiao-wu
%J Journal of Zhejiang University SCIENCE A
%V 4
%N 4
%P 393-399
%@ 1869-1951
%D 2003
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2003.0393
TY - JOUR
T1 - Axisymmetric fundamental solutions for a finite layer with impeded boundaries
A1 - CHENG Ze-hai
A1 - CHEN Yun-min
A1 - LING Dao-sheng
A1 - TANG Xiao-wu
J0 - Journal of Zhejiang University Science A
VL - 4
IS - 4
SP - 393
EP - 399
%@ 1869-1951
Y1 - 2003
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2003.0393
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.
[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).
Open peer comments: Debate/Discuss/Question/Opinion
<1>