Technical Papers
Mar 7, 2011

Analytical Solution for the Consolidation around a Laterally Loaded Pile

Publication: International Journal of Geomechanics
Volume 12, Issue 3

Abstract

This paper presents a closed-form analytical solution for the consolidation of soil around a laterally loaded pile, assuming the soil skeleton deforms elastically and under plane strain conditions. The problem is idealized as a circular rigid disk surrounded by a deformable soil zone. Drainage is assumed to occur at the boundary of the assumed zone of deformable soil around the pile. The response around the pile is obtained using an uncoupled consolidation analysis. The solution for the governing equation of excess pore water pressure is found by using the separation of variables technique. Expressions for the initial excess pore water pressure distribution are derived from the mean total stress changes given by the elastic solution. Curves showing decay of the excess pore water pressure with time, and also the variation of pile displacement, are plotted in nondimensional form. The parameters that affect the displacement prediction are illustrated and discussed. Comparison with three-dimensional analysis of a laterally loaded pile shows that the two-dimensional analysis can reasonably predict the consolidation process along the shaft of the pile.

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References

ABAQUS/standard user’s manual, version 6.5. (2003). Hibbit, Karlsson & Sorensen, Inc, Pawtucket, RI.
Baguelin, F., Frank, R., and Said, Y. H. (1977). “Theoretical study of lateral reaction mechanism of piles.” GeotechniqueGTNQA8, 27(3), 405–434.
Biot, M. A. (1941). “General theory of three-dimensional consolidation.” J. Appl. Phys.JAPIAU, 12(2), 155–164.
Carter, J. P., and Booker, J. R. (1981). “Consolidation due to lateral loading of a pile.” Proc., 10th Int. Conf. on Soil Mechanics and Foundation Engineering, Balkema, Rotterdam, Netherlands, 647–650.
Hetenyi, M. (1946). Beams on elastic foundations, Univ. of Michigan Press, Ann Arbor, MI.
Krost, K., Gourvenec, S., and White, D. J. “Consolidation around partially embedded seabed pipelines.” GeotechniqueGTNQA8, 61(2), 167–173.
Matlock, H., and Reese, L. C. (1960). “Generalized solutions for laterally loaded piles.” J. Soil Mech. Found. Div.JSFEAQ, 5(86), 63–91.
McLachlan, N. W. (1955). Bessel functions for engineers, 2nd Ed., Clarendon Press, Oxford, UK.
Mindlin, R. D. (1936). “Force at a point in the interior of a semi-inlinite solid.” PhysicsPHYSGM, 7(5), 195–202.
Mylonakis, G. (2001). “Winkler modulus for axially loaded piles.” GeotechniqueGTNQA8, 51(5), 455–461.
Osman, A. S., and Randolph, M. F. (2010). “Response of a solid infinite cylinder embedded in a poroelastic medium and subjected to a lateral load.” Int. J. Solids Struct.IJSOAD, 47(18-19), 2414–2424.
Poulos, H. G. (1971). “Behaviour of laterally loaded piles: 1, single piles.” J. Soil Mech. Found. Div.JSFEAQ, 97(5), 711–731.
Randolph, M. F. (1981). “Response of flexible piles to lateral loading.” GeotechniqueGTNQA8, 31(2), 247–259.
Randolph, M. F., and Wroth, C. P. (1979). “Analytical solution for the consolidation around a driven pile.” Int. J. Numer. Anal. Methods Geomech.IJNGDZ, 3(3), 217–229.
Shirazi, A., and Selvadurai, A. P. S. (2005). “Lateral loading of a rigid rock socket embedded in a damage-susceptible poroelastic solid.” Int. J. Geomech.IJGNAI, 5(4), 276–285.
Soderberg, L. O. (1962). “Consolidation theory applied to foundation pile time effects.” GeotechniqueGTNQA8, 12(3), 217–225.
Taiebat, H. A., and Carter, J. P. (2001). “A semi-analytical finite element method for three-dimensional consolidation analysis.” Comput. Geotech.CGEOEU, 28(1), 55–78.
Terzaghi, K. (1923). “Die Berechnung der Durchlässigkeitsziffer des Tones aus dem Verlauf der hydrodynamischen Spannungserscheinungen. [The calculation of permeability number of the clay out of the process of the hydrodynamic phenomenon tension].” Sitz. Akad. Wiss. Wien. Math-Nat. Kl, IIa, 132(3-4), 125–138.
Winkler, E. (1867). Die Lehre van Elastizitiit und Festigkeit, 1st Ed., H. Dominicus, Prague, Czech Republic (in Czech).

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Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 12Issue 3June 2012
Pages: 199 - 208

History

Received: Nov 16, 2009
Accepted: Mar 4, 2011
Published online: Mar 7, 2011
Published in print: Jun 1, 2012

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Authors

Affiliations

Ashraf S. Osman [email protected]
Lecturer, School of Engineering and Computing Sciences, Durham Univ., South Rd., Durham DH1 3LE, UK (corresponding author). E-mail: [email protected]
Mark F. Randolph [email protected]
ARC Federation Fellow and Professor of Civil Engineering, Centre for Offshore Foundation Systems, Univ. of Western Australia, Perth, WA 6009, Australia. E-mail: [email protected]

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