Geomechanics and Engineering

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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

  • Vagif M. Mirsalimov (Department of Mechanics, Azerbaijan Technical University) ;
  • Nailya M. Kalantarly (Department of Sports management and communication, Azerbaijan Sports Academy) ;
  • Fuad F. Hasanov (Department of Mechanics, Azerbaijan Technical University)
  • Received : 2024.10.17
  • Accepted : 2026.04.14
  • Published : 2026.04.25
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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.

Keywords

References

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