Dynamic Interaction between the Pile Groups and Layered Poroelastic Half Space to Harmonic Axial Loads

Abstract:

By using Mukis method, the dynamic interaction between the pile group and layered poroelastic half space subjected to axial harmonic loads is investigated in this study. By using Mukis method, the second kind of Fredholm integral equations describing the dynamic interaction between the layered half space and the pile group is constructed. Numerical solution of the integral equation yields the axial force, the displacement of the pile as well as the response of the layered poroelastic half space. Results of this paper are compared with known results, which shows that our solutions is in a good agreement with the known result. The numerical results of this study also demonstrate that the soil inhomogeneity has a significant influence on the response of pile group.

• Periodical: Applied Mechanics and Materials (Volumes 405-408)
• Pages: 790-794
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.405-408.790
• Online since: September 2013
• Authors: Xue Jia Chen, Man Qing Xu
• Keywords: Biots Theory, Pile Groups, Saturated Half Space, Transmission and Reflectionmatrices (TRM) Method

References

[1] Wolf JP, Arx GAV. Impedance functions of a group of vertical piles. Proceedings of the ASCE Specially Conference on Earthquake Engineering and Soil Dynamics, Pasadena, CA II; 1978, 1024–41.

[2] Pressley JS, Poulos HG. Technical notes on practical applications, finite element analysis of mechanisms of pile group behaviour. International Journal for Numerical and Analytical Methods in Geomechanics, vol. 10(1986), pp.213-221.

DOI: 10.1002/nag.1610100208

[3] Harkrider DG. Surface waves in multilayered elastic medium I: Rayleigh and Love waves from buried sources in a multilayered elastic half-space. Bulletin Seismetic Social America, vol. 54(1964), p.627– 629.

DOI: 10.1785/bssa0540020627

[4] Haskell NA. Radiation pattern of surface waves from point sources in a multilayered medium. Bulletin Seismetic Social America, vol. 54(1964), p.377–393.

DOI: 10.1785/bssa0540010377

[5] Senjuntichai T, Rajapakse RKND. Exact stiffness method for quasi-statics of a multi-layered poroelastic medium. International Journal of Solids and Structures, vol. 32(1995), p.1535–1553.

DOI: 10.1016/0020-7683(94)00190-8

[6] Luco JE , Apsel RJ. On the Green's functions for a layered half-space: Part I. Bulletin Seismetic Social America, vol. 73(1983), p.909–929.

[7] Apsel RJ, Luco JE. On the Green's functions for a layered half-space: Part II. Bulletin Seismetic Social America, vol. 73(1983), p.931–951.

DOI: 10.1785/bssa0730040931

[8] Lu JF, Hanyga A. Fundamental solution for a layered porous half space subject to a vertical point force or a point fluid source. Computational Mechanics, vol. 35(2005), pp.376-391.

DOI: 10.1007/s00466-004-0626-5

[9] Muki R, Sternberg E. Elastostatic load transfer to a half space from a partially embedded axially loaded rod. International Journal of Solids and Structures, vol. 6(1970), p.69–90.

DOI: 10.1016/0020-7683(70)90082-x

[10] Biot MA. Theory of propagation of elastic waves in a fluid-saturated porous solid, II: Higher frequency range. Journal of the Acoustical Society of America, vol. 28(1956), p.179–191.

DOI: 10.1121/1.1908241

[11] Biot MA. Mechanics of deformation and acoustic propagation in porous media. Journal of Applied Psychology, vol. 33(1962), p.1482–1498.

DOI: 10.1063/1.1728759

[12] Wang JH, Zhou XL, Lu JF. Dynamic response of pile groups embedded in a poroelastic medium. Soil Dynamics and Earthquake Engineering, vol. 23(2003), p.235–242.

DOI: 10.1016/s0267-7261(02)00224-5