Abstract
The article deals with the problem of determining the expression for the components of the stress tensor of a rock mass that is exposed to rock-breaking tools. In solving this problem, the natural tension of the rocks and the stresses arising ahead, in the plane and on the boundary of the face of the cylindrical excavation were taken into account. Formulation presented in the form of a semi-infinite cylinder whose axis coincides with the axis ̅Z of the coordinate system. The solution is obtained in a cylindrical coordinate system in the form of analytical expressions, which is carried out by numerical integration of improper integrals.
Highlights
In determining the effectiveness of mechanical rock-breaking tools, contact strength is taken as the main indicator of the resistance of rocks to destruction РK.A significant part of the recently developed rocks under the influence of rock-cutting tool has a brittle fracture
To determine the contact strength of the rock mass, exposed to the rock-breaking tool, it is necessary to determine the analytical dependencies for the stress tensor components, taking into account the natural stress of the rocks and stresses that occur in the rock mass as a result of technological impact during penetration development
Consider the stresses P0 that occur in front of the face of a cylindrical excavation in the region representing a semi-infinite cylinder, whose axis coincides with the axis zof the coordinate system (Fig. 1)
Summary
In determining the effectiveness of mechanical rock-breaking tools, contact strength is taken as the main indicator of the resistance of rocks to destruction РK. As a result of decision this problem, it has been established that on the surface r = h (h – the radius of development), limiting the rock mass in front of the face, there is a significant concentration of radial (compressive) σr and tangential σrz stresses. This character of the stress state in the rock mass significantly affect contact strength rocks and, to working conditions rock cutting tools. To determine the contact strength of the rock mass, exposed to the rock-breaking tool, it is necessary to determine the analytical dependencies for the stress tensor components, taking into account the natural stress of the rocks and stresses that occur in the rock mass as a result of technological impact during penetration development
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