Optimal displacement mechanisms beneath shallow foundations on linear-elastic perfectly plastic soil

An energy method for a linear-elastic perfectly plastic method utilising the von Mises yield criterion with associated flow developed in 2013 by McMahon and co-workers is used, to compare the ellipsoidal cavity-expansion mechanism, from the same work, and the displacement fields of other research by...

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Bibliographic Details
Published in:Géotechnique 2013-12, Vol.63 (16), p.1447-1450
Main Authors: MCMAHON, B. T, HAIGH, S. K, BOLTON, M. D
Format: Article
Language:English
Subjects:
Displacement
Earth sciences
Earth, ocean, space
Energy methods
Engineering and environment geology. Geothermics
Engineering geology
Exact sciences and technology
Finite element method
Mathematical analysis
Optimization
Rigidity
Settlements
Soil (material)
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Summary:An energy method for a linear-elastic perfectly plastic method utilising the von Mises yield criterion with associated flow developed in 2013 by McMahon and co-workers is used, to compare the ellipsoidal cavity-expansion mechanism, from the same work, and the displacement fields of other research by Levin, in 1995, and Osman and Bolton, in 2005, which utilise the Hill and Prandtl mechanisms, respectively. The energy method was also used with a mechanism produced by performing a linear-elastic finite-element analysis in Abaqus. At small values of settlement and soil rigidity the elastic mechanism provides the lowest upper-bound solution, and matches well with finite-element analysis results published in the literature. At typical footing working loads and settlements the cavityexpansion mechanism produces a more optimal solution than the displacement fields within the Hill and Prandtl mechanisms, and also matches well with the published finite-element analysis results in this range. Beyond these loads, at greater footing settlements, or soil rigidity, the Prandtl mechanism is shown to be the most appropriate.
ISSN:0016-8505
1751-7656
DOI:10.1680/geot.13.T.002