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Geomechanics and Engineering Volume 13, Number 3, September 2017 , pages 489-504 DOI: https://doi.org/10.12989/gae.2017.13.3.489 |
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A displacement solution for circular openings in an elastic-brittle-plastic rock |
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Houxu Huang, Jie Li, Xiaoli Rong, Yiqing Hao and Xin Dong
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| Abstract | ||
| The localized shear and the slip lines are easily observed in elastic-brittle-plastic rock. After yielding, the strength of the brittle rock suddenly drops from the peak value to the residual value, and there are slip lines which divide the macro rock into numbers of elements. There are slippages of elements along the slip lines and the displacement field in the plastic region is discontinuous. With some restraints, the discontinuities can be described by the combination of two smooth functions, one is for the meaning of averaging the original function, and the other is for characterizing the breaks of the original function. The slip lines around the circular opening in the plastic region of an isotropic H-B rock which subjected to a hydrostatic in situ stress can be described by the logarithmic spirals. After failure, the deformation mechanism of the plastic region is mainly attributed to the slippage, and a slippage parameter is introduced. A new analytical solution is presented for the plane strain analysis of displacements around circular openings. The displacements obtained by using the new solution are found to be well coincide with the exact solutions from the published sources. | ||
| Key Words | ||
| brittle plastic rock; H-B strength criterion; slip lines; slippage parameter | ||
| Address | ||
| (1) Houxu Huang, Jie Li, Xiaoli Rong, Yiqing Hao, Xin Dong: State Key Laboratory of Disaster Prevention and Mitigation of Explosion and Impact, PLA University of Science and Technology, Nanjing, China; (2) Jie Li: School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, China; (3) Yiqing Hao: High-Tech Institute, Fan Gong-ting South Street on the 12th, Qingzhou, Shandong, China. | ||