Solutions for the deformations and stability of elastoplastic hollow cylinders subjected to boundary pressures
✍ Scribed by Chen, X.; Tan, C. P.; Haberfield, C. M.
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 280 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0363-9061
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✦ Synopsis
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 #ow rule. The newly developed analytical solution is veri"ed through comparison with the solutions obtained from an in"nite 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 in"nite and "nite boundary conditions under both drained and undrained conditions.