Elastic-plastic solutions for expanding cavities embedded in two different cohesive-frictional materials

SUMMARYAn analytical solution of cavity expansion in two different concentric regions of soil is developed and investigated in this paper. The cavity is embedded within a soil with finite radial dimension and surrounded by a second soil, which extends to infinity. Large‐strain quasi‐static expansion...

Full description

Saved in:
Bibliographic Details
Published in:International journal for numerical and analytical methods in geomechanics 2014-06, Vol.38 (9), p.961-977
Main Authors: Mo, Pin-Qiang, Marshall, Alec M., Yu, Hai-Sui
Format: Article
Language:English
Subjects:
analytical solution
Applied sciences
Buildings. Public works
cavity expansion
concentric regions
Exact sciences and technology
Exact solutions
Geomechanics
Geotechnics
Holes
Layering
Mathematical analysis
Mathematical models
Soil (material)
Soil investigations. Testing
Strength of materials (elasticity, plasticity, buckling, etc.)
Structural analysis. Stresses
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:SUMMARYAn analytical solution of cavity expansion in two different concentric regions of soil is developed and investigated in this paper. The cavity is embedded within a soil with finite radial dimension and surrounded by a second soil, which extends to infinity. Large‐strain quasi‐static expansion of both spherical and cylindrical cavities in elastic‐plastic soils is considered. A non‐associated Mohr–Coulomb yield criterion is used for both soils. Closed‐form solutions are derived, which provide the stress and strain fields during the expansion of the cavity from an initial to a final radius. The analytical solution is validated against finite element simulations, and the effect of varying geometric and material parameters is studied. The influence of the two different soils during cavity expansion is discussed by using pressure–expansion curves and by studying the development of plastic regions within the soils. The analytical method may be applied to various geotechnical problems, which involve aspects of soil layering, such as cone penetration test interpretation, ground‐freezing around shafts, tunnelling, and mining. © 2014 The Authors. International Journal for Numerical and Analytical Methods in Geomechanics published by John Wiley & Sons Ltd.
ISSN:0363-9061
1096-9853
DOI:10.1002/nag.2288