Solutions for the deformations and stability of elastoplastic hollow cylinders subjected to boundary pressures

In this paper, a closed-form solution is presented for the stress and displ acement distributions throughout a hollow cylinder subjected to uniform pre ssures acting on its internal and external boundary surfaces under plane st rain conditions. The material is assumed to be elastoplastic, obeying a Moh r-Coulomb failure criterion, and exhibiting dilatant plastic deformation ac cording to a non-associated flow rule. The newly developed analytical solut ion is verified through comparison with the solutions obtained from an infi nite boundary problem (for which a closed-form solution exists), and numeri cal analyses using the program FLAC. The solution is also compared with the results of a borehole collapse test on a thick-walled hollow cylinder of s ynthetic shale. The analytical solution can be used to calculate the stress and displacemen t distributions around boreholes and other cylindrical cavities under both infinite and finite boundary conditions under both drained and undrained co nditions, Copyright (C) 1999 John Wiley & Sons, Ltd.