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Dynamic response of a poroelastic stratum to moving oscillating load

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Abstract

The dynamic response of a poroelastic stratum subjected to moving load is studied. The governing dynamic equations for poroelastic medium are solved by using Fourier transform. The general solutions for the stresses and displacements in the transformed domain are established. Based on the general solutions, with the consideration of boundary conditions, the final expressions of stresses and displacements in physical domain are put forward for the three-dimensional single-layer medium. Some numerical solutions for the stresses, displacements and pore fluid pressure are presented and reveal that the response of a poroelastic stratum varies obviously with the moving velocity.

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References

  1. Biot M A. Theory of propagation of elastic waves in a fluid-saturated porous solid (I): Low-frequency range. J Acoust Soc Am, 1956, 28(2): 168–178

    Article  ADS  MathSciNet  Google Scholar 

  2. Biot M A. Mechanics of deformation and acoustic propagation in porous media. J Appl Phys, 1962, 33(4): 1482–1498

    Article  MATH  ADS  MathSciNet  Google Scholar 

  3. Senjuntichai T, Rajapakse R K N D. Dynamic Green’s functions of homogeneous poroelastic half-plane. J Eng Mech, ASCE, 1994, 120(11): 2381–2404

    Article  Google Scholar 

  4. Rajapakse R K N D, Senjuntichai T. Dynamic response of a multi-layered poroelastic medium. Earthquake Eng Struct Dynam, 1995, 24(5): 703–722

    Article  Google Scholar 

  5. Philippacopoulos A J. Lamb’s problem for fluid-saturated porous media. Bull Seism Soc Am, 1988, 78(2): 908–923

    Google Scholar 

  6. Cheng A H D, Badmus T, Beskos D E. Integral equation for dynamic poroelasticity in frequency domain with BEM solution. J Eng Mech, ASCE, 1991, 117(5): 1136–1157

    Article  Google Scholar 

  7. Jin B, Liu H. Vertical dynamic response of a disk on a saturated poroelastic half space. Soil Dynam Earthquake Eng, 1999, 18(6): 437–443

    Article  Google Scholar 

  8. Jin B. The vertical vibration of an elastic circular plate on a fluid-saturated porous half space, Int J Eng Sci, 1999, 37(3): 379–393

    Article  Google Scholar 

  9. Jin B, Liu H. Horizontal vibrations of a disk on a poroelastic half-space. Soil Dynam Earthquake Eng, 2000, 19(4): 269–275

    Article  Google Scholar 

  10. Jin B, Liu H. Dynamic response of a poroelastic half space to horizontal buried loading. Int J Solid Struct, 2001, 38: 8053–8064

    Article  MATH  Google Scholar 

  11. Jin B, Zhong Z. Dynamic stress intensity factor (Mode I) of a penny-shaped crack in an infinite poroelastic solid. Int J Eng Sci, 2002, 40: 637–646

    Article  Google Scholar 

  12. Senjuntichai T, Sapsathiarn Y. Forced vertical vibration of circular plate in multilayered poroelastic medium. J Eng Mech, ASCE, 2003, 129(11): 1330–1341

    Article  Google Scholar 

  13. Zeng X, Rajapakse R K N D. Vertical vibrations of a rigid disk embedded in a poroelastic medium. Int J Numer Anal Meth Geomech, 1999, 23(15): 2075–2095

    Article  MATH  Google Scholar 

  14. Burke M, Kingsbury H B. Response of poroelastic layers to moving loads. Int J Solids Struct, 1984, 20(5): 499–511

    Article  MATH  Google Scholar 

  15. Siddharthan R, Zafir Z, Norris G M. Moving load response of layered soil (I): Formulation. J Eng Mech, ASCE, 1993, 119(10): 2052–2071

    Article  Google Scholar 

  16. Sneddon I N. Fourier Transforms. New York: McGraw-Hill, 1951

    Google Scholar 

  17. Eason G. The stresses produced in a semi-infinite solid by a moving surface force. Int J Eng Sci, 1965, 2: 581–609

    Article  MATH  Google Scholar 

  18. Cole J, Huth J. Stresses produced in a half plane by moving loads. J Appl Mech, ASME, 1958, 25: 433–436

    MATH  MathSciNet  Google Scholar 

  19. Payton R G. An application of the dynamical Betti-Rayleigh reciprocal theorem of moving point loads in elastic medium. Q Appl Math, 1964, 20(1): 299–313

    MathSciNet  Google Scholar 

  20. Gakenheimer D C, Miklowitz J. Transient excitation of an elastic halfspace by a point load traveling on the surface. J Appl Mech, ASME, 1969, 36: 505–515

    MATH  Google Scholar 

  21. Barros F C P, Luco J E. Response of a layered viscoelastic halfspace to a moving point load. Wave Motion, 1994, 19: 189–210

    Article  MATH  Google Scholar 

  22. Grundmann H, Lieb M, Trommer E. The response of a layered halfspace to traffic loads moving along its surface. Arch Appl Mech, 1999, 69(1): 55–67

    Article  MATH  Google Scholar 

  23. Hung H H, Yang Y B. Elastic waves in visco-elastic halfspace generated by various vehicle loads. Soil Dynam Earthquake Eng, 2001, 21: 1–17

    Article  Google Scholar 

  24. Wu Y S, Yang Y B. A semi-analytical approach for analyzing ground vibrations caused by trains moving over elevated bridges. Soil Dynam Earthquake Eng, 2004, 24: 949–962

    Article  Google Scholar 

  25. Jin B, Yue Z Q, Tham LG. Stresses and excess pore pressure induced in saturated poroelastic halfspace by moving line load. Soil Dynam Earthquake Eng, 2004, 24: 25–33

    Article  Google Scholar 

  26. Jin B. Dynamic displacements of an infinite beam on a poroelastic half space due to a moving oscillating load. Arch Appl Mech, 2004, 74: 277–287

    MATH  Google Scholar 

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Authors and Affiliations

  1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, China

    YuanGuo Chen & Bo Jin

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  1. YuanGuo Chen
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  2. Bo Jin
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Correspondence to Bo Jin.

Additional information

Supported by the National Natural Science Foundation of China (Grant No. 10372073)

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Chen, Y., Jin, B. Dynamic response of a poroelastic stratum to moving oscillating load. Sci. China Ser. G-Phys. Mech. Astron. 51, 883–893 (2008). https://doi.org/10.1007/s11433-008-0089-3

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  • DOI: https://doi.org/10.1007/s11433-008-0089-3

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