Upper Bound for Cylinder Movement Using “Elastic” Fields and Its Possible Application to Pile Deformation Analysis
Publication: International Journal of Geomechanics
Volume 8, Issue 2
Abstract
A new upper bound failure mechanism for the problem of rigid cylinder motion is presented. The velocity field associated with the mechanism is derived from a known elastic solution by similitude of the deformation field. The obtained upper bound value is 21% higher than the exact solution. However, the failure mechanism is continuous, involving no discontinuity, not even on the cylinder perimeter. The solution has a certain advantage if one, for example, wishes to combine its mechanism with a strain path approach to investigate the T-bar penetration problem. The absence of discontinuities in the mechanism also allows evolution of deformation under serviceability conditions, by associating a mobilized strength as a function of an average strain. Based on this approach, a load transfer function for lateral loading of piles in an undrained clay is suggested. This load transfer function involves nonlinear scaling of a stress-strain curve obtained from a triaxial compression test. An analytical, closed form, solution is given for the case of a hyperbolic stress-strain curve.
Get full access to this article
View all available purchase options and get full access to this article.
References
Ashour, M., Norris, G., and Pilling, P. (1998). “Lateral loading of a pile in layered soil using the strain wedge model.” J. Geotech. Geoenviron. Eng., 124(4), 303–315.
Baguelin, F., Frank, R., and Said, Y. H. (1977). “Theoretical study of lateral reaction mechanism of piles.” Geotechnique, 27(3), 405–434.
Barnsby, M. F. (1999). “Selection of curves for the design of single laterally loaded piles.” Int. J. Numer. Analyt. Meth. Geomech., 23(15), 1909–1926.
Dobry, R., Vicente, E., O’Rourke, M. J., and Roesset, M. (1982). “Horizontal stiffness and damping of single piles.” J. Geotech. Engrg. Div., 108(3), 439–459.
Einav, I., and Randolph, M. F. (2005). “Combining upper bound and strain path methods for evaluating penetration resistance.” Int. J. Numer. Analyt. Meth. Engng., 63(14), 1991–2016.
Guo, W. D., and Lee, F. H. (2001). “Load transfer approach for laterally loaded piles.” Int. J. Numer. Analyt. Meth. Geomech., 25(11), 1101–1129.
Itasca Consulting Group (2005). FLAC Ver. 5—User’s manual, Minneapolis.
Klar, A., Osman, A. S., and Bolton, M. D. (2007). “2D and 3D upper bound solutions for tunnel excavation using ‘elastic’ flow fields.” Int. J. Numer. Analyt. Meth. Geomech., 31(12), 1367–1374.
Martin, C. M., and Randolph, M. F. (2006). “Upper bound analysis of lateral pile capacity in cohesive soil.” Geotechnique, 56(2), 141–145.
Matlock, H. (1970). “Correlations for design of laterally loaded piles in soft clay.” Proc., 2nd Annual Offshore Technology Conf., Vol. 1, Houston, Paper No. OTC 1204, 577–594.
Nogami, T., Otani, J., Konagai, K., and Chen, H. L. (1992). “Nonlinear soil-pile interaction model for dynamic lateral motion.” J. Geotech. Engrg., 118(1), 89–106.
Novak, M., and Sheta, M. (1980). “Approximated approach to contact effects of piles.” Proc., Dynamic Response of Pile Foundation: Analytical Aspects, ASCE, 53–79.
Osman, A. S., and Bolton, M. D. (2005). “Simple plasticity-based prediction of the undrained settlement of shallow circular foundations on clay.” Geotechnique, 55(6), 435–447.
Randolph, M. F., and Houlsby, G. T. (1984). “The limiting pressure on a circular pile loaded laterally in cohesive soil.” Geotechnique, 34(4), 613–623.
Reese, L. C., Cox, W. E., and Koop, F. D. (1975). “Field testing and analysis of laterally loaded piles in stiff clay.” Proc., 7th Offshore Technology Conf., Houston, Paper No. OTX 2312.
Information & Authors
Information
Published In
Copyright
© 2008 ASCE.
History
Received: Dec 28, 2006
Accepted: Jul 31, 2007
Published online: Mar 1, 2008
Published in print: Mar 2008
Authors
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.