Theoretical Analysis on Drained Cylindrical Cavity Expansion in Anisotropic Modified Cam Clay

Abstract

This paper presents an exact analytical solution for the drained cylindrical cavity expansion problem using the well-known anisotropic modified Cam Clay model proposed by Dafalias (1987). The prominent feature of this elastoplastic model, i.e., its capability to describe both the initial anisotropy and stress-induced anisotropy of soils, makes the anisotropic elastoplastic solution derived herein for the cavity problem a more realistic one. Following the novel solution scheme developed by Chen and Abousleiman (2013) that links between the Eulerian and Lagrangian formulations of the condition of radial equilibrium, the plastic zone solution can be eventually obtained by solving a system of eight partial differential equations with the three stress components, three anisotropic hardening parameters, specific volume, and preconsolidation pressure being the basic unknowns. Parametric studies have then been conducted to explore the influences of $K_{0}$ consolidation anisotropy on the stress patterns outside the cavity, and on the stress path for a soil element at the cavity wall.