Stresses and Displacements around a Cylindrical Cavity in Soft Rock
- 1 September 1986
- journal article
- research article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 36 (3) , 223-245
- https://doi.org/10.1093/imamat/36.3.223
Abstract
This paper considers the problem of a cylindrical cavity excavated in an infinite elastoplastic medium under an isotropic initial stress field. Using a Mohr-Coulomb yield criterion and a dilation flow rule, analytic and numerical (finite element) solutions for the displacements are derived, and results from the two methods compared. Attention is focused on the choice of boundary conditions in the analytic solution. The special one-dimensional finite-element formulation is also extended to use a nonlinear yield criterion and flow rule.Keywords
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