TECHNICAL PAPERS
Apr 1, 1987

Green's Function Implementation for Pile Analysis

Publication: Journal of Engineering Mechanics
Volume 113, Issue 4

Abstract

Green's functions are key elements in boundary element formulations. This paper describes the implementation of an approximate, layer‐stiffness‐based Green's function in a boundary element analysis of harmonically loaded pile groups embedded in a nonhomogeneous medium. Two separate problems are addressed: the optimum layer discretization appropriate for the analysis of pile foundations and the depth of soil stratum required for simulating a half‐space. Validity is established by comparisons with previously published static and dynamic solutions. The implementation described allows the boundary element formulation to be extended to applications that have hitherto proved intractable.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Apsel, R. (1979). “Dynamic Green's functions for layered media and applications to boundary value problems,” thesis presented to the University of California, at San Diego, Calif., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
2.
Banerjee, P. K., and Butterfield, R. (1981). Boundary Elements Methods in Engineering Science. McGraw‐Hill, London, UK, and New York, N.Y.
3.
Banerjee, P. K., and Driscoll, R. M. C. (1976). “Three‐dimensional analysis of raked pile groups.” Proc. Inst. Civ. Engrs., Part 2, 61, 653–671.
4.
Banerjee, P. K., and Davies, T. G. (1978). “The behaviour of axially and laterally loaded piles embedded in non‐homogeneous soils.” Geotechnique, 28, 309–326.
5.
Butterfield, R., and Banerjee, P. K. (1971). “The elastic analysis of compressible piles and pile groups.” Geotechnique 21, 43–60.
6.
Davies, T. G. (1979). “Linear and non‐linear analysis of pile groups,” thesis presented to the University of Wales, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
7.
Eringen, A. C., and Suhubi, E. S. (1975). Elastodynamics, Vol. 2, Linear Theory. Academic Press, New York.
8.
Gibson, R. E. (1967). “Some results concerning displacements and stresses in a non‐homogeneous elastic half‐space.” Geotechnique 17(1), 58–67.
9.
Gibson, R. E. (1974). “The analytical method in soil mechanics.” Geotechnique 24(2), 115–140.
10.
Haskell, N. A. (1953). “The dispersion of surface waves on multilayered media.” Bulletin of Seismological Society of America 43, 17–34.
11.
Kaynia, A. M., and Kausel, E. (1982). “Dynamic behavior of pile groups.” Proc., 2nd International Conference on Numerical Methods in Offshore Piling, Austin, Tex.
12.
Kausel, E., and Peek, R. (1982). “Dynamic loads in the interior of a layered stratum: an explicit solution.” Bulletin of the Seismological Society of America 72(5).
13.
Kausel, E., and Roesset, J. M. (1982). “Stiffness matrices for layered soil.” Bulletin of the Seismological Society of America 71, 1743–1761.
14.
Kobayashi, S., and Nishimura, N. (1980). “Green's tensors for elastic half spaces, an application of the boundary integral equation method.” Memoirs Faculty of Engineering Kyoto University Vol. XLII, Part2, Apr.
15.
Krishnan, R., Gazetas, G., and Velez, A. (1983). “Static and dynamic lateral deflection of piles in non‐homogeneous soil stratum.” Geotechnique 33(3), 307–326.
16.
Lysmer, J., and Waas, G. (1972). “Shear waves in plane infinite structures.” J. Engrg. Mech. Div., ASCE, 98(1), 85–105.
17.
Mindlin, R. D. (1936). “Force at a point in the interior of a semi‐infinite solid.” Physics 7, 195–202.
18.
Nogami, T., and Novak, M. (1976). “Soil‐pile interaction in vertical vibration.” Earthquake Engrg. Struct. Dynamics 4, 277–293.
19.
Novak, M. (1974). “Dynamic stiffness and damping of piles.” Can. Geotech. J. 11, 574–598.
20.
Novak, M., and Nogami, T. (1977). “Soil pile interaction in horizontal vibration.” Earthquake Engrg. Struct. Dynamics 5, 263–282.
21.
Poulos, H. G., and Davis, E. H. (1968). “The settlement behaviour of single axially loaded incompressible piles and piers.” Geotechnique 18, 351–371.
22.
Randolph, M. F., and Wroth, C. (1978). “Analysis of deformation of vertically loaded piles.” J. Geotech. Engrg. Div. 104(12) 1465–1488.
23.
Randolph, M. F. (1981). “The response of flexible piles to lateral loading.” Geotechnique 31(2), 247–260.
24.
Richart, F. E., Hall, J. R., and Woods, R. D. (1970). Vibrations of Soils and Foundations. Prentice‐Hall, Englewood Cliffs, N.J.
25.
Sen, R. (1984). “Dynamic analysis of buried structures,” thesis presented to the State University of New York, at Buffalo, N.Y., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
26.
Sen, R., Davies, T. G., and Banerjee, P. K. (1983). “Dynamic behavior of axially and laterally loaded piles and pile groups embedded in homogeneous soil.” Report No. GT/1983/2, submitted to the National Science Foundation, State Univ. of New York, Buffalo, N.Y.
27.
Sen, R., Davies, T. G., and Banerjee, P. K. (1985). “Dynamic analysis of piles and pile groups embedded in homogeneous soils.” Earthquake Engrg. Struct. Dynamics 13, 53–65.
28.
Sen, R., Kausel, E., and Banerjee, P. K. (1985). “Dynamic analysis of piles and pile groups embedded in non‐homogeneous soils.” Inter. J. Num. Methods Geomech. 9(6), 507–524.
29.
Thompson, W. T. (1950). “Transmission of elastic waves through a stratified soil stratum.” J. Applied Physics 21, 89–93.
30.
Warburton, G. B. (1957). “Forced vibration of a body upon an elastic stratum.” J. Applied Mech. 24, 55–58.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 113Issue 4April 1987
Pages: 594 - 609

History

Published online: Apr 1, 1987
Published in print: Apr 1987

Permissions

Request permissions for this article.

Authors

Affiliations

Rajan Sen, M. ASCE
Asst. Prof., Dept. of Civ. Engrg. and Mechanics, Univ. of South Florida, Tampa, FL 33620

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share