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Geomechanics and Engineering
  Volume 24, Number 3, February10 2021 , pages 227-235

Optimal design of shape of a working in cracked rock mass
Vagif M. Mirsalimov

    A criterion and a method for solving a problem on the prevention of mine working fracture under the action of tectonic and gravitational forces are offered. Based on minimal criterion, theoretical analysis of the definition of the optimal shape of working in the rock mass weakened by arbitrarily located rectilinear cracks was carried out. A closed system of algebraic equations allowing to minimize the stress state and stress intensity factors depending on mechanical and geometrical characteristics of the rock, is constructed. The relation between the shape of the working and the stress intensity factors and also location and sizes of the cracks is obtained. The found optimal shape of working increases load-bearing capacity of the rock.
Key Words
    isotropic rock mass; optimal working; rectilinear cracks; stress intensity factors; minimax criterion
Vagif M. Mirsalimov: 1.) Department of Mechanics, Azerbaijan Technical University, Baku, H. Javid av, 25, Azerbaijan
2.) Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Baku, B. Vahabzade, 9, Azerbaijan

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