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Dynamic responses of a pile embedded in a layered poroelastic half-space to a harmonic axial loading

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Abstract

The dynamic response of a single pile embedded in a layered poroelastic half-space to an axial harmonic load is investigated in this study. Based on Biot’s theory, the frequency domain fundamental solution for a vertical circular patch load applied in a layered poroelastic half-space is derived via the transmission and reflection matrices method. Utilizing Muki and Sternberg’s method, the second kind of Fredholm integral equations describing the dynamic interaction between the layered half-space and the pile subjected to a harmonic axial load is constructed. The proposed model is validated by comparing a special case of our model with an existing result. Based on numerical results of this paper, it is concluded that the presence of a stiffer or a softer middle layer in the layered half-space will affect the impedance of the pile considerably and the inhomogeneity of the half-space will enhance the pore pressure significantly.

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References

  1. Fowler G.F., Sinclair G.B.: The longitudinal harmonic excitation of a circular bar embedded in an elastic half-space. Int. J. Solids Struct. 14, 999–1012 (1978)

    Article  MATH  Google Scholar 

  2. Rajapakse R.K.N.D., Shah A.H.: On the longitudinal harmonic motion of an elastic bar embedded in an elastic half-space. Int. J. Solids Struct. 23, 267–285 (1987)

    Article  MATH  Google Scholar 

  3. Pak R.Y.S., Jennings P.C.: Elastodynamic response of pile under transverse excitations. J. Eng. Mech. 113, 1101–1116 (1987)

    Article  Google Scholar 

  4. Rajapakse R.K.N.D.: A note on the elastodynamic load transfer problem. Int. J. Solids Struct. 24, 963–972 (1988)

    Article  Google Scholar 

  5. Zeng X., Rajapakse R.K.N.D.: Dynamic axial load transfer from elastic pile to poroelastic medium. J. Eng. Mech. 125, 1048–1055 (1999)

    Article  Google Scholar 

  6. Jin B., Zhong Z.: Lateral dynamic compliance of pile embedded in poroelastic half space. Soil Dyn. Earthq. Eng. 21, 519–525 (2001)

    Article  Google Scholar 

  7. Harkrider D.G.: Surface waves in multilayered elastic medium I: Rayleigh and Love waves from buried sources in a multilayered elastic half-space. Bull. Seismol. Soc. Am. 54, 627–629 (1964)

    Google Scholar 

  8. Haskell N.A.: Radiation pattern of surface waves from point sources in a multilayered medium. Bull. Seismol. Soc. Am. 54, 377–393 (1964)

    Google Scholar 

  9. Valliappan S., Tabatabaie Y.J., Zhao C.B.: Analytical solution for two-dimensional dynamic consolidation in frequency domain. Int. J. Numer. Anal. Methods Geomech. 19, 663–682 (1995)

    Article  MATH  Google Scholar 

  10. Senjuntichai T., Rajapakse R.K.N.D.: Exact stiffness method for quasi-statics of a multi-layered poroelastic medium. Int. J. Solids Struct. 32, 1535–1553 (1995)

    Article  MATH  Google Scholar 

  11. Luco J.E., Apsel R.J.: On the Green’s functions for a layered half-space: Part I. Bull. Seismol. Soc. Am. 73, 909–929 (1983)

    Google Scholar 

  12. Apsel R.J., Luco J.E.: On the Green’s functions for a layered half-space: Part I.I.. Bull. Seismol. Soc. Am. 73, 931–951 (1983)

    Google Scholar 

  13. Pak R.Y.S., Guzina B.B.: Three-dimensional Green’s functions for a multilayered half-space in displacement potentials. J. Eng. Mech. 128, 449–461 (2002)

    Article  Google Scholar 

  14. de Barros F.C.P., Luco J.E.: Response of a layered viscoelastic half space to a moving point load. Wave Motion 19, 189–210 (1994)

    Article  MATH  Google Scholar 

  15. Chen X.F.: Seismogram synthesis for multi-layered media with irregular interfaces by global generalized reflection/transmission matrices method 3: Theory of 2D P-SV case. Bull. Seismol. Soc. Am. 86, 389–405 (1996)

    Google Scholar 

  16. Lu J.F., Hanyga A.: Fundamental solution for a layered porous half space subject to a vertical point force or a point fluid source. Comput. Mech. 35, 376–391 (2005)

    Article  MATH  Google Scholar 

  17. Xu B., Lu J.F., Wang J.H.: Dynamic response of a layered and water-saturated poro-elastic half-space subjected to a moving load. Comput. Geotech. 35, 1–10 (2008)

    Article  Google Scholar 

  18. Lee C.Y., Small J.C.: Finite-layer analysis of axially loaded piles. J. Geotech. Eng. ASCE 117, 1706–1722 (1991)

    Article  Google Scholar 

  19. Southcotta P.H., Small J.C.: Finite layer analysis of vertically loaded piles and pile groups. Comput. Geotech. 18, 47–63 (1996)

    Article  Google Scholar 

  20. Militano G., Rajapakse R.K.N.D.: Dynamic response of a pile in a multi-layered soil transient torsional and axial loading. Geotechnique 49, 91–109 (1999)

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  22. Biot M.A.: Theory of propagation of elastic waves in a fluid-saturated porous solid, II: Higher frequency range. J. Acoust. Soc. Am. 28, 179–191 (1956)

    Article  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  24. Sneddon I.N.: Fourier Transforms. McGraw-Hill, New York (1951)

    Google Scholar 

  25. Muki R., Sternberg E.: On the diffusion of an axial load from an infinite cylindrical pile embedded in an elastic medium. Int. J. Solids Struct. 5, 587–606 (1969)

    Article  MATH  Google Scholar 

  26. Muki R., Sternberg E.: Elastostatic load transfer to a half space from a partially embedded axially loaded rod. Int. J. Solids Struct. 6, 69–90 (1970)

    Article  MATH  Google Scholar 

  27. Halpern M.R., Christiano P.: Steady-state harmonic response of a rigid plate bearing on a liquid-saturated poroelastic half space. Earthq. Eng. Struct. Dyn. 14, 439–454 (1986)

    Article  Google Scholar 

  28. Boonsrang N., Pisidhi K.: Load transfer from an elastic pile to a saturated porous elastic soil. Int. J. Numer. Anal. Methods Geomech. 5, 115–138 (1981)

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Civil Engineering, Jiangsu University, Zhenjiang, Jiangsu, 212013, People’s Republic of China

    Jian-Fei Lu

  2. Department of Civil Engineering, Shanghai JiaoTong University, Shanghai, 200030, People’s Republic of China

    Bin Xu & Jian-Hua Wang

  3. Division of Civil Engineering, School of Engineering, Physics and Mathematics, University of Dundee, Dundee, DD1 4HN, UK

    Dong-Sheng Jeng

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  1. Jian-Fei Lu
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  2. Bin Xu
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  3. Jian-Hua Wang
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  4. Dong-Sheng Jeng
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Correspondence to Jian-Fei Lu.

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Lu, JF., Xu, B., Wang, JH. et al. Dynamic responses of a pile embedded in a layered poroelastic half-space to a harmonic axial loading. Acta Mech 207, 29–49 (2009). https://doi.org/10.1007/s00707-008-0096-5

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  • DOI: https://doi.org/10.1007/s00707-008-0096-5

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