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Received: 2003-12-03

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Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.3 P.194~201

http://doi.org/10.1631/jzus.2005.A0194


Transient response of a spherical cavity with a partially sealed shell embedded in viscoelastic saturated soil


Author(s):  LIU Gan-bin, XIE Kang-he

Affiliation(s):  Institution of Geotechnical Engineering, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   Liugb76@163.com

Key Words:  Viscoelasticity, Partial sealing, Spherical shell, Transient response


LIU Gan-bin, XIE Kang-he. Transient response of a spherical cavity with a partially sealed shell embedded in viscoelastic saturated soil[J]. Journal of Zhejiang University Science A, 2005, 6(3): 194~201.

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author="LIU Gan-bin, XIE Kang-he",
journal="Journal of Zhejiang University Science A",
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pages="194~201",
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publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A0194"
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%T Transient response of a spherical cavity with a partially sealed shell embedded in viscoelastic saturated soil
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A0194

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T1 - Transient response of a spherical cavity with a partially sealed shell embedded in viscoelastic saturated soil
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EP - 201
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2005.A0194


Abstract: 
Based on Biot’s wave equation, this paper discusses the transient response of a spherical cavity with a partially sealed shell embedded in viscoelastic saturated soil. The analytical solution is derived for the transient response to an axisymmetric surface load and fluid pressure in Laplace transform domain. Numerical results are obtained by inverting the Laplace transform presented by Durbin, and are used to analyze the influences of the partial permeable property of boundary and relative rigidity of shell and soil on the transient response of the spherical cavity. It is shown that the influence of these two parameters is remarkable. The available solutions of permeable and impermeable boundary without shell are only two extreme cases of this paper.

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Reference

[1] Akkas, N., Zakout, U., 1997. Transient response of an infinite elastic medium containing a spherical cavity with and without shell embedment. Int. J. Engng. Sci., 35(2):89-112.

[2] Ben-Menahem, A., Cisternas, A., 1963. The dynamic response of an elastic half-space to an explosion in a spherical cavity. J. Math. and Phys., 42:112-125.

[3] Biot, M.A., 1956. Theory of deformation of a porous viscoelastic anisotropic solid. Journal of Applied Physics, 27(5):459-467.

[4] Biot, M.A., 1962. Mechanics of deformation and acoustic propagation in porous medium. Journal of Applied Physics, 33(4):1482-1498.

[5] Durbin, F., 1974. Numerical inversion of Laplace transformation: an efficient improvement to durbin and abate’s method. The Computer Journal, 17(4):371-376.

[6] Eringen, A.C., 1980. Mechanics of Continua. R. E. Krieger Pub. Co., New York.

[7] Li, X., 1999. Stress and displacement field around a deep circular tunnel with partial sealing. Computer and Geotechnics, 4:125-140.

[8] Lou, M.L., Lin, G., 1986. The effect of wave refection of artifical boundaries in viscoelastic media. China Shui Li Xue Bao, 6:20-30 (in Chinese).

[9] Norwood, F.R., Miklowitz, J., 1967. Diffraction of transient elastic waves by a spherical cavity. J. Appl. Mech., 34:735-744.

[10] Xu, C.J., Wu, S.M., 1998. Spherical wave propagation in saturated soil. Appl. Math. and Mech., 20(3):295-300.

[11] Xu, C.J., Cai, Y.Q., 2001. Dynamic response of spherical cavity in viscoelastic saturated soils. China Civil Engineering Journal, 34(4):88-92 (in Chinese).

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