Expansion of a thick cylinder of soils

Abstract This paper presents a unified large-strain analysis of the expansion of a thick cylinder of soil. The soil is modelled as an elastic-perfectly plastic material obeying the Mohr-Coulomb yield criterion. A non-associated plastic flow rule is used and therefore the dilatancy of the soil is fully taken into account. Closed form solutions are obtained for the stresses and the elastic-plastic deformations of arbitrary magnitude when a thick-walled cylinder of soil is subject to constant external pressure and monotonically increasing internal pressure. A rigorous small strain solution is also presented so that a direct comparison between the results of small strain and large strain analyses can be made. In addition to serving as a benchmark solution for verifying the performance of elastic-plastic finite elements, the analytical solution developed in this paper can also be used to assist the interpretation of calibration chamber tests.

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