Analysis of cracks development in rock massif with the use of dynamic destruction resistance

Keywords: crack, principle of least action, Lagrange equations, dynamic resistance, deformation, crack dynamics


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.


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Author Biographies

Anatolii Bakhtyn, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"

Department of Geo-Engineering

Anatolii Bakhtyn, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"

Department of Ecology and Plant Polymers Technology


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How to Cite
Bakhtyn, A., & Bakhtyn, A. (2021). Analysis of cracks development in rock massif with the use of dynamic destruction resistance. ScienceRise, (2), 23-30.
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