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Time‐dependent behaviour of a rigid foundation on a transversely isotropic soil layer
Author(s) -
Chen Shengli,
Abousleiman Younane
Publication year - 2009
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.842
Subject(s) - transverse isotropy , poromechanics , biot number , consolidation (business) , isotropy , discretization , laplace transform , mathematics , hankel transform , integral equation , boundary element method , integral transform , mathematical analysis , geotechnical engineering , boundary value problem , anisotropy , finite element method , geometry , geology , engineering , mechanics , structural engineering , physics , accounting , porous medium , quantum mechanics , bessel function , porosity , business
An analytical solution is presented in this paper to study the time‐dependent settlement behaviour of a rigid foundation resting on a transversely isotropic saturated soil layer. The governing equations for a transversely isotropic saturated soil, within Biot's poroelasticity framework, are solved by means of Laplace and Hankel transforms. The problem is subsequently formulated in the Laplace transform domain in terms of a set of dual integral equations that are further reduced to a Fredholm integral equation of the second kind and solved numerically. The developed analytical solution is validated via comparison with the existing analytical solution for an isotropic saturated soil case, and adopted as a benchmark to examine the sensitivities of the mesh refinement and the locations of truncation boundaries in the finite element simulations using ABAQUS. Particular attention is paid to the influences of the degree of soil anisotropy, boundary drainage condition, and the soil layer thickness on the consolidation settlement and contact stress of the rigid foundation. Copyright © 2009 John Wiley & Sons, Ltd.