Abstract
A closed form method of analysis is proposed to predict the stresses and pore water pressure developed in soil mass due to the expansion of cylindrical cavity in undrained condition. Often Modified Cam Clay model (MCC) has been used to describe soil behavior, but unfortunately MCC formulation does not include soil structure. To study the effect of soil structure during cylindrical cavity expansion Structured Cam Clay model has used to describe yield surface and flow rule. It is assumed that the expansion of cavity occurs under condition of plane strain. The evaluation of present method illustrates a good comparison with observations made from field. It is also observed that soil structure affect significantly to the distribution of stresses and pore water pressure during expansion of cylindrical cavity.
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Abbreviations
- a :
-
Final cavity radius
- a 0 :
-
Initial cavity radius
- b :
-
Destructuring index
- e :
-
Void ratio
- f :
-
Yield function
- M :
-
Aspect ratio (shape factor)
- OCR i :
-
Isotropic overconsolidation ratio
- p :
-
Total mean stress
- p′:
-
Mean effective stress
- \( p_{0}^{'} \) :
-
Initial mean effective stress
- \( p_{s}^{\prime} \) :
-
Size of the structured yield surface
- \( p_{c}^{\prime} \) :
-
Mean effective stress at critical state
- q :
-
Deviatoric stress
- q c :
-
Deviatoric stress at critical state
- q e :
-
Deviatoric stress at elastic–plastic boundary
- r :
-
Radial distance from center of cavity
- r p :
-
Plastic radius
- S u :
-
Undrained shear strength
- U :
-
Deformation
- Δe :
-
Additional void ratio
- Δu :
-
Excess pore water pressure
- Δu c :
-
Excess pore water pressure at critical state
- ε d :
-
Deviatoric strain
- \( \varepsilon_{d}^{p} \) :
-
Plastic deviatoric strain
- \( \varepsilon_{d}^{e} \) :
-
Elastic deviatoric strain
- \( \varepsilon_{dp} \) :
-
Deviatoric strain at elastic–plastic boundary
- ε r :
-
Radial strain
- \( \varepsilon_{r}^{e} \) :
-
Elastic radial strain
- \( \varepsilon_{v} \) :
-
Volumetric strain
- \( \varepsilon_{v}^{e} \) :
-
Elastic volumetric strain
- \( \varepsilon_{v}^{p} \) :
-
Plastic volumetric strain
- ε θ :
-
Circumferential strain
- \( \varepsilon_{\theta }^{e} \) :
-
Elastic circumferential strain
- η :
-
Stress ratio
- η 0 :
-
Stress ratio at elastic–plastic boundary
- κ :
-
Slope of unloading–reloading line in e: lnp′
- λ :
-
Slope of normal compression line in e: lnp′
- υ :
-
Poisson’s ratio
- σ r :
-
Total radial stress
- \( \sigma_{r}^{\prime} \) :
-
Effective radial stress
- \( \sigma_{rp}^{\prime} \) :
-
Effective radial stress at elastic–plastic boundary
- σ θ :
-
Total circumferential stress
- \( \sigma_{\theta }^{\prime} \) :
-
Effective circumferential stress
- \( \sigma_{\theta p}^{\prime} \) :
-
Effective circumferential stress at elastic–plastic boundary
- ω :
-
Model parameter influence soil structure on the flow rule
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Nanda, S., Patra, N.R. Undrained Cylindrical Cavity Expansion in Critical State Soils Considering Soil Structure. Indian Geotech J 45, 169–180 (2015). https://doi.org/10.1007/s40098-014-0125-3
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DOI: https://doi.org/10.1007/s40098-014-0125-3