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Solutions for the deformations and stability of elastoplastic hollow cylinders subjected to boundary pressures
Author(s) -
Chen X.,
Tan C. P.,
Haberfield C. M.
Publication year - 1999
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/(sici)1096-9853(199907)23:8<779::aid-nag10>3.0.co;2-0
Subject(s) - dilatant , displacement (psychology) , boundary value problem , mechanics , plane stress , cylinder , stress (linguistics) , plasticity , boundary (topology) , deformation (meteorology) , borehole , materials science , geotechnical engineering , mathematics , geology , geometry , mathematical analysis , structural engineering , finite element method , physics , engineering , composite material , psychology , linguistics , philosophy , psychotherapist
In this paper, a closed‐form solution is presented for the stress and displacement distributions throughout a hollow cylinder subjected to uniform pressures acting on its internal and external boundary surfaces under plane strain conditions. The material is assumed to be elastoplastic, obeying a Mohr–Coulomb failure criterion, and exhibiting dilatant plastic deformation according to a non‐associated flow rule. The newly developed analytical solution is verified through comparison with the solutions obtained from an infinite boundary problem (for which a closed‐form solution exists), and numerical 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 synthetic shale. The analytical solution can be used to calculate the stress and displacement distributions around boreholes and other cylindrical cavities under both infinite and finite boundary conditions under both drained and undrained conditions. Copyright © 1999 John Wiley & Sons, Ltd.