Abstract
This chapter presents an analytical solution for the quasistatic expansion of a cylindrical cavity in an incompressible elastoplastic soil. The soil is treated as incompressible elastic-perfect plastic, with the Von Mises-yield condition. The analysis concentrates on several factors, including influence of the action of longitudinal uniform shear traction, initial state of stresses, and large strains in both plastic and elastic zones. Solutions for cylindrical cavity expansion in an infinite incompressible medium are presented. The solutions account for large strain in both the plastic and elastic regions. They account for the influence of an axial shear stress at the surface of the cavity and for the possibility of unequal vertical and horizontal stresses. The solutions are presented principally in closed form, although they make some use of a series solution and of integrals, which must be evaluated numerically. The solutions have application to the determination of the stresses around axially loaded piles and in-situ testing devices, such as penetrometers.
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