A homogenization method for estimating the bearing capacity of soils reinforced by columns

The ultimate bearing capacity problem of a strip foundation resting on a soil reinforced by a group of regularly spaced columns is investigated in the situation when both the native soil and reinforcing material are purely cohesive. Making use of the yield design homogenization approach, it is shown...

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Bibliographic Details
Published in:International journal for numerical and analytical methods in geomechanics Vol. 29; no. 10; pp. 989 - 1004
Main Authors: Jellali, B., Bouassida, M., de Buhan, P.
Format: Journal Article
Language:English
Published: Chichester, UK John Wiley & Sons, Ltd 25.08.2005
Wiley
Subjects:
Applied sciences
bearing capacity
Buildings. Public works
cohesion ratio
columns
Computation methods. Tables. Charts
Earthwork. Foundations. Retaining walls
Exact sciences and technology
Geotechnics
homogenization theory
macroscopic strength criterion
reinforced soil
Stabilization. Consolidation
Structural analysis. Stresses
substitution factor
upper bound
yield design theory
cohesion ratio
Lower bound
Cohesion
Soil bearing capacity
columns
Theoretical study
Homogenization (mathematics)
macroscopic strength criterion
Upper bound
Foundations
substitution factor
yield design theory
Column
Plane strain
bearing capacity
Problem solving
homogenization theory
Loadbearing capacity
Computing method
Reinforced soil
Strength
ISSN:0363-9061, 1096-9853
Online Access:Get full text
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Summary:The ultimate bearing capacity problem of a strip foundation resting on a soil reinforced by a group of regularly spaced columns is investigated in the situation when both the native soil and reinforcing material are purely cohesive. Making use of the yield design homogenization approach, it is shown that such a problem may be dealt with as a plane strain yield design problem, provided that the reinforced soil macroscopic strength condition has been previously determined. Lower and upper bound estimates for such a macroscopic criterion are obtained, thus giving evidence of the reinforced soil strong anisotropy. Performing the upper bound kinematic approach on the homogenized bearing capacity problem, by using the classical Prandtl's failure mechanism, makes it then possible to derive analytical upper bound estimates for the reinforced foundation bearing capacity, as a function of the reinforced soil parameters (volume fraction and cohesion ratio), as well as of the relative extension of the reinforced area. It is shown in particular that such an estimate is closer to the exact value of the ultimate bearing capacity, than that derived from a direct analysis which implicitly assumes that the reinforced soil is an isotropic material. Copyright © 2005 John Wiley & Sons, Ltd.
Bibliography:istex:2DC629D25CFF0E079F9D4F681ADA2642789582BF
ArticleID:NAG441
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ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0363-9061
1096-9853
DOI:10.1002/nag.441