Abstract
The object of research: the process of development of main cracks in the massif of rocks under the action of a wave impulse taking into account the dynamic destruction resistance.
 Investigated problem: Description of the dynamics of crack development in the impulse mode of increasing their size, as well as the transition to an unstable mode of crack growth.
 The main scientific results: In the present article uses an approach based on the principle of least action and N-characteristic of dynamic crack growth resistance. This allowed to obtain analytical equations of the crack growth trajectory in the rock massif and the main characteristics of the process.
 The area of practical use of the research results: The considered approach allows to predict the formation of the shear surface in quarries and natural slopes. This approach also allows to set a time-varying probability of their steady state and adjust, if necessary, the parameters of blasting.
 Innovative technological product: Analytical regularities for the driving force of the crack and dynamic destruction resistance are obtained, which take into account the velocity and acceleration of the crack, as well as the time and nonstationarity of the impulse load.
 Scope of the innovative technological product: The proposed approach can be used in the design of blasting operations in quarries and in the calculation of the probabilities of the steady state of natural massifs under the influence of impulse loads.
Highlights
Materials and Methods The values of the dynamic resistance to crack growth in solid objects with bifraction are based on experimental measurements of the change in the crack velocity depending on the intensity of the applied loads [18, 19]
The N-characteristic of crack growth resistance as a consequence of using the principle of least action in the dynamics of crack development was considered by the authors for the first time
It is shown that the approach using the principle of least action allows to consider the dynamics of crack development in the array in the form of the Lagrange equation of the second kind
Summary
During mass explosions in quarries and mining enterprises, the lithosphere is subjected to geomechanical action, which leads to changes in physical and mechanical and morphological properties of the terrain, cracks and cavities, landslides, changes in water regime of the terrain, damage to infrastructure. In the formation and change of rocks in the general process of development of the earth’s crust rocks are divided by cracks into blocks of different sizes and shapes. This phenomenon is called fractures of the rock mass. Fracture is a common property of the rock mass This parameter characterizes the morphological structure, geomechanical properties of the massif and mining and geological conditions of the studied areas of the earth’s crust
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