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

*(English)*Zbl 0943.74016From the summary: We present a closed-form solution for 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 developed analytical solution is verified through comparison with solutions obtained from an infinite boundary problem (for which a closed-form solution exists), and from 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.

##### MSC:

74G60 | Bifurcation and buckling |

74C05 | Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) |

74R20 | Anelastic fracture and damage |

##### Keywords:

borehole stability; analytical solution; stress; displacement; hollow cylinder; Mohr-Coulomb failure criterion; dilatant plastic deformation; non-associated flow rule
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\textit{X. Chen} et al., Int. J. Numer. Anal. Methods Geomech. 23, No. 8, 779--800 (1999; Zbl 0943.74016)

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