Elastostatic response of a pile embedded in a transversely isotropic half-space under transverse loading

SUMMARY In the framework of elastostatics, a mathematical treatment is presented for the boundary value problem of the interaction of a flexible cylindrical pile embedded in a transversely isotropic half‐space under transverse loadings. Taking the pile region as a stiffened subdomain of an extended...

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Bibliographic Details
Published in:International journal for numerical and analytical methods in geomechanics 2013-12, Vol.37 (17), p.2897-2915
Main Authors: Gharahi, A., Rahimian, M., Eskandari-Ghadi, M., Pak, R. Y. S.
Format: Article
Language:English
Subjects:
Applied sciences
Bending moments
Buildings. Public works
Elastostatics
Exact sciences and technology
Geotechnics
Green's functions
Half spaces
Integral equations
Mathematical analysis
Mathematical models
Piles
soil-pile interaction
Stresses. Safety
Structural analysis. Stresses
Structure-soil interaction
transverse loading
transversely isotropic
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Summary:SUMMARY In the framework of elastostatics, a mathematical treatment is presented for the boundary value problem of the interaction of a flexible cylindrical pile embedded in a transversely isotropic half‐space under transverse loadings. Taking the pile region as a stiffened subdomain of an extended half‐space, the formulation of the interaction problem is reduced to a Fredholm integral equation of the second kind. The necessary set of Green's functions for the transversely isotropic half‐space is obtained by means of a method of potentials. The resulting Green's functions are incorporated into a numerical procedure for the solution of the integral equation. The theoretical response of the pile is presented in terms of bending moment, displacement and slope profiles for a variety of transversely isotropic materials so that the effect of different anisotropy parameters can be meaningfully discussed. Copyright © 2013 John Wiley & Sons, Ltd.
ISSN:0363-9061
1096-9853
DOI:10.1002/nag.2167