Skip to main content
Log in

Steady-state response of a saturated half-space with an overlying dry layer subjected to a moving load

  • Published:
Journal of Zhejiang University SCIENCE A Aims and scope Submit manuscript

Abstract

In this paper, the steady-state response of a saturated half-space with an overlying dry layer subjected to a moving rectangular load is investigated. The governing partial differential equations are solved using the Fourier transform. The solutions in time-space domain are expressed in terms of infinite Fourier type integrals, which can be evaluated only by numerical quadrature. Numerical results show that the influence of a drained or undrained interface on the response is related to the permeability of the underlying saturated soil. Moreover, the effect due to the upper dry layer is associated with the thickness of the layer.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Biot, M.A., 1956. Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range. The Journal of the Acoustical Society of America, 28(2): 168–178. [doi:10.1121/1.1908239]

    Article  MathSciNet  Google Scholar 

  • Biot, M.A., 1962. Mechanics of deformation and acoustic propagation in porous media. Journal of Applied Physics, 33(4):1482–1498. [doi:10.1063/1.1728759]

    Article  MATH  MathSciNet  Google Scholar 

  • Bo, J., 2004. Dynamic responses of a poroelastic half space generated by high speed load. Chinese Quarterly of Mechanics, 25(2):168–174 (in Chinese).

    Google Scholar 

  • Burke, M., Kingsbury, H.B., 1984. Response of poroelastic layers to moving loads. International Journal of Solids and Structures, 20(5):499–511.

    Article  MATH  Google Scholar 

  • Cai, Y., Sun, H., Xu, C., 2007. Steady state responses of poroelastic half-space soil medium to a moving rectangular load. International Journal of Solids and Structures, 44(22-23):7183–7196. [doi:10.1016/j.ijsolstr.2007.04.006]

    Article  MATH  Google Scholar 

  • Cole, J., Huth, J., 1958. Stress produced in a half-space by moving loads. Journal of Applied Mechanics, 25(2): 433–436.

    MATH  MathSciNet  Google Scholar 

  • Eason, G., 1965. The stresses produced in a semi-infinite solid by a moving surface force. International Journal of Engineering Science, 2(6):581–609. [doi:10.1016/0020-7225(65)90038-8]

    Article  MATH  Google Scholar 

  • Hung, H.H., Yang, Y.B., 2001. Elastic waves in visco-elastic half-space generated by various vehicle loads. Soil Dynamics and Earthquake Engineering, 21(1):1–17. [doi:10.1016/S0267-7261(00)00078-6]

    Article  Google Scholar 

  • Jin, B., Yue, Z.Q., Tham, L.G., 2004. Stresses and excess pore pressure induced in saturated poroelastic halfspace by moving line load. Soil Dynamics and Earthquake Engineering, 24(1):25–33. [doi:10.1016/j.soildyn.2003.09.004]

    Article  Google Scholar 

  • Lefeuve-Mesgouez, G., Mesgouez, A., 2008. Ground vibration due to a high-speed moving harmonic rectangular load on a poroviscoelastic half-space. International Journal of Solids and Structures, 45(11–12):3353–3374. [doi:10.1016/j.ijsolstr.2008.01.026]

    Article  MATH  Google Scholar 

  • Lu, J.F., Jeng, D.S., 2007. A half-space saturated poro-elastic medium subjected to a moving point load. International Journal of Solids and Structures, 44(2):573–586. [doi:10.1016/j.ijsolstr.2006.05.020]

    Article  MATH  Google Scholar 

  • Siddharthan, R., Zafir, Z., Norris, G.M., 1993. Moving load response of layered soil. I: Formulation. Journal of Engineering Mechanics, 119(10):2052–2071. [doi:10.1061/(ASCE)0733-9399(1993)119:10(2052)]

    Article  Google Scholar 

  • Sneddon, I.N., 1951. Fourier Transforms. McGraw-Hill Book Company, New York.

    Google Scholar 

  • Sneddon, I.N., 1952. The stress produced by a pulse of pressure moving along the surface of a semi-infinite solid. Rendiconti del Circolo Matematico di Palermo, 1(1): 57–62. [doi:10.1007/BF02843720]

    Article  MATH  MathSciNet  Google Scholar 

  • Theodorakopoulos, D.D., 2003. Dynamic analysis of a poroelastic half-plane soil medium under moving loads. Soil Dynamics and Earthquake Engineering, 23(7):521–533. [doi:10.1016/S0267-7261(03)00074-5]

    Article  Google Scholar 

  • Xu, B., Lu, J.F., Wang, J.H., 2008. Dynamic response of a layered water-saturated half space to a moving load. Computers and Geotechnics, 35(1):1–10. [doi:10.1016/j.compgeo.2007.03.005]

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bo Sun.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hu, Af., Sun, B. & Xie, Kh. Steady-state response of a saturated half-space with an overlying dry layer subjected to a moving load. J. Zhejiang Univ. Sci. A 13, 33–43 (2012). https://doi.org/10.1631/jzus.A1100184

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1631/jzus.A1100184

Key words

CLC number

Navigation