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Geomechanics and Engineering Volume 45, Number 2, April25 2026 , pages 257-272 DOI: https://doi.org/10.12989/gae.2026.45.2.257 |
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Solution to an elastic-plastic problem for a rock mass weakened by a circular working taking into account crack initiation in the elastic zone |
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Vagif M. Mirsalimov, Nailya M. Kalantarly, Fuad F. Hasanov
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| Abstract | ||
| A plane elastic-plastic problem of stress distribution in a rock mass weakened by a circular working is considered. It is assumed that V.V. Sokolovsky's plasticity condition is satisfied. The stress level in the rock mass is such that the working is entirely covered by the plastic zone. It is assumed that crack initiation occurs in the elastic zone of the rock mass during loading. Perturbation methods and theories of analytical functions are used. The obtained system of equations makes it possible to determine the critical value of external load, the location and size of the pre-fracture zone for the state of limit equilibrium. | ||
| Key Words | ||
| circular working; crack formation; elastic-plastic boundary; rock mass; Sokolovsky's plasticity condition | ||
| Address | ||
| Vagif M. Mirsalimov, Fuad F. Hasanov: Department of Mechanics, Azerbaijan Technical University, Baku, H. Javid av, 25, AZ1073, Azerbaijan Nailya M. Kalantarly: Department of Sports management and communication, Azerbaijan Sports Academy, Baku, 98, AZ1072, Azerbaijan | ||