Analytical Solution of Displacements Around Circular Openings in Generalized Hoek-Brown Rocks

The rock in plastic region is divided into numbers of elements by the slip lines, resulted from shear localization. During the deformation process, the elements will slip along the slip lines and the displacement field is discontinuous. Slip lines around circular opening in isotropic rock, subjected...

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Bibliographic Details
Published in:Journal of theoretical and applied mechanics 2017-09, Vol.47 (3), p.81-95
Main Authors: Huang, Houxu, Li, Jie, Wei, Jiuqi
Format: Article
Language:English
Subjects:
Analytical solution
Brittleness
Circularity
Deformation
Displacement
generalized Hoek-Brown yield criterion
Plane strain
Rocks
Shear localization
Slip
slip lines in plastic region
Slippage
slippage parameter
Spirals
Strain analysis
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Summary:The rock in plastic region is divided into numbers of elements by the slip lines, resulted from shear localization. During the deformation process, the elements will slip along the slip lines and the displacement field is discontinuous. Slip lines around circular opening in isotropic rock, subjected to hydrostatic stress are described by the logarithmic spirals. Deformation of the plastic region is mainly attributed to the slippage. Relationship between the shear stresses and slippage on slip lines is presented, based on the study of Revuzhenko and Shemyakin. Relations between slippage and rock failure are described, based on the elastic-brittle-plastic model. An analytical solution is presented for the plane strain analysis of displacements around circular openings in the Generalized Hoek-Brown rock. With properly choosing of slippage parameters, results obtained by using the proposed solution agree well with those presented in published sources.
ISSN:1314-8710
0861-6663
1314-8710
DOI:10.1515/jtam-2017-0015