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Solutions for the deformations and stability of elastoplastic hollow cylinders subjected to boundary pressures. (English) Zbl 0943.74016
From 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.

74G60 Bifurcation and buckling
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
74R20 Anelastic fracture and damage
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