Instability Analysis of Damaged Pile Due to Static or Dynamic Overload

DOI: 10.4236/gm.2012.24016   PDF   HTML     4,126 Downloads   7,162 Views   Citations


Instability of a damaged pile due to a statically or dynamically applied overload is studied in this work using the finite element method. A damage parameter from such a pile is calculated using fracture mechanics concepts. The parameter is used to modify the beam element at the cracked or damaged location. Soil samples were obtained from the site of the pile and were subjected to laboratory tri-axial tests to obtain shear strength parameters c and . Other soil parameters such as Young’s modulus E and Poisson’s ratio were also obtained from the tri-axial tests. These were used to calculate shear strength and sub-grade modulus k for the soil. The parameters , E, and k were later used together with the damage parameter in the finite element simulation of the strength of the damaged pile using Eigen value analyses. The layered soil modulus is approximated by taking the mean value and is denoted by . The discrete element matrices are assembled into a system Eigen-value equation, the solution of which provides the stability or instability loads for the damaged pile. The results obtained for a pile without damage, that is, when =0 , are in good agreement with those published in the literature. It has also been found that higher soil resistance is needed to support the damaged pile. It is concluded that the proposed model is a good candidate for use in the analysis and repair of damaged piles due to earthquake overload by soil stabilization methods.

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P. Jiki and J. Agber, "Instability Analysis of Damaged Pile Due to Static or Dynamic Overload," Geomaterials, Vol. 2 No. 4, 2012, pp. 114-120. doi: 10.4236/gm.2012.24016.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] I. M. Smith, “Transient Phenomena of Offshore Foundations,” In: O. C. Zienkiewicz, R. W. Lewis and K. G. Stagg, Eds., Numerical Methods in Offshore Engineering, John Wiley and Sons, London, 1978.
[2] I. W. Burgess, “The Stability of Slender Piles during Driving,” Geotechnique, Vol. 26, 1976, pp. 281-292. doi:10.1680/geot.1976.26.2.281
[3] I. W. Burgess, “Analytical Studies of Pile Wandering during Installation,” International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 3, No. 1, 1979, pp. 49-62. doi:10.1002/nag.1610030106
[4] H. Leipholz, “Stability Theory,” Academic Press, New York, 1970.
[5] T. E. Smith and G. Herrmann, “Stability of a Beam on an Elastic Foundation Subjected to a Follower Force,” Journal of Applied Mechanics, Vol. 39, No. 2, 1972, pp. 628-629. doi:10.1115/1.3422743
[6] I. M. Smith, “Discrete Element Analysis of Pile Instability,” International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 3, No. 1, 1979, pp. 205-211. doi:10.1002/nag.1610030208
[7] P. N. Jiki, “Buckling Analysis of Pre-Cracked Beam-Columns by Liapunov’s Second Method,” European Journal of Mechanics A/Solids, Vol. 26, No. 3, 2007, pp. 503-518. doi:10.1016/j.euromechsol.2006.07.007
[8] N. Anifantis and A. D. Dimarogonas, “Stability Analysis of a Column with a Single Crack Subjected to Follower and Vertical Loads,” International Journal of Solids and Structures, Vol. 19, No. 4, 1983, pp. 281-291. doi:10.1016/0020-7683(83)90027-6
[9] D. Capuani and J. R. Willis, “Wave Propagation in Elastic Media with Cracks. Part 1. Transient Nonlinear Response of a Single Crack,” European Journal of Mechanics A/Solids, Vol. 16, 1997, pp. 377-408.
[10] S. P. Timoshenko and J. M. Gere, “Theory of Elastic Stability,” McGraw-Hill, New York, 1961.
[11] P. N. Jiki, J. U. Agber and N. N. Osadebe, “Finite Element Evaluation of Bearing Capacity Parameters for Soils in the University of Agriculture, Makurdi, Nigeria,” Indian Journal of Innovations and Development, Vol. 1, No. 3, 2012, pp. 121-126.
[12] V. V.Bolotin, “Nonconservative Problems of the Theory of Elasticity,” Pergamon Press, Oxford, 1963.

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