This paper presents a novel unified solution to drained expansion of a spherical cavity in both clay and sand. The large-strain theory and a critical state model with a unified hardening parameter are used to describe the elastoplastic behavior of the soils after yielding. The elastoplastic constitutive tensor of the critical state model is developed to be a system of first-order differential equations for the drained expansion of a spherical cavity. The problem is formulated as an initial value problem in terms of the Lagrangian scheme by introducing an auxiliary variable and is solved numerically. With the present solution, curves for the expansion pressures, the distributions of stress components, and the stress paths are plotted to illustrate the different expansion responses in clay and sand. The proposed solution not only incorporates the dilatancy and peak strength of dense sand, but it can also reduce to the solution for clay and loose sand when ignoring the dilatancy and peak strength. Therefore, the present solution can be applied to interpret the cone penetration test and the pile installation, as well as to evaluate the pile end bearing capacity in various kinds of soils.
L. Li et al., "Unified Solution To Drained Expansion Of A Spherical Cavity In Clay And Sand," International Journal of Geomechanics, vol. 17, no. 8, article no. 04017028, American Society of Civil Engineers, Aug 2017.
The definitive version is available at https://doi.org/10.1061/(ASCE)GM.1943-5622.0000909
Geosciences and Geological and Petroleum Engineering
Keywords and Phrases
Auxiliary variable; Dilatancy; Drained expansion; Elastoplastic; Expansion response
International Standard Serial Number (ISSN)
Article - Journal
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01 Aug 2017