Vasyliev L.M., Vasyliev D.L., Malich M.H., Katan V.A., Rizo Z.N. Analytical method for calculation of the strength of cylindrical rock specimens during their longitudinal stress

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Parent Category: Geo-Technical Mechanics, 2023

Category: Geo-Technical Mechanics, 2023, Issue 164

Geoteh. meh. 2023, 164, 53-60

https://doi.org/10.15407/geotm2023.164.053

 

ANALYTICAL METHOD FOR CALCULATION OF THE STRENGTH OF CYLINDRICAL ROCK SPECIMENS DURING THEIR LONGITUDINAL STRESS

¹Vasyliev L.M., ¹Vasyliev D.L., ²Malich M.H., ³Katan V.A., ¹Rizo Z.N.

¹M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine, ²Ukrainian State University of Science and Technologies, ³Oles Honchar Dnipro National University

UDC 622.023: 539.4.012.3: 620.17.001.24                                      

Language: English

Abstract. The goal of this research is to develop a method for calculating the strength of cylindrical rock specimens under axial failure. This will allow for the management of the stress-strain state of rock masses, which is an important issue for many mining companies. To achieve this goal, analytical modeling of the process of failure of cylindrical rock specimens under axial failure was carried out. This was done using experimental values of four indicators of rock properties: shear strength, coefficients of internal and external friction, and elasticity modulus. The results of this research allow for the determination of the ultimate strength and residual strength of cylindrical rock specimens using the four property indicators. These indicators can be experimentally determined using simple methods in laboratory conditions of mining companies. The scientific novelty of this research lies in the fact that analytical modeling of the process of failure of cylindrical rock specimens under axial failure was conducted for the first time, taking into account internal and external friction. This allowed for new results to be obtained and provided a basis for the development of new methods for managing the state of rock masses. The practical significance of this research lies in the fact that the proposed method allows for the determination of the ultimate and residual strength of rock specimens using four property indicators. These indicators can be experimentally determined in mining company laboratories, making the calculation results applicable for the management of the state of rock masses and the efficient destruction of rocks during disintegration. Thus, this method has significant practical significance for the mining industry.
A method for calculating the strength of cylindrical specimens under longitudinal failure mode has been developed. The average convergence of calculated strength values with f_с = 0.5 to experimental data is 83.4%, which corresponds to a good level of reliability for rock materials. It has been shown that the self-organization of longitudinal failure mode in cylindrical rock specimens occurs in accordance with Coulomb's criterion of maximum effective shear stress, which has been improved to account for contact friction.
Keywords: rock; strength limit; destruction; crack; stress-strain diagram.

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About authors:

Vasyliev Leonid Mykhailovych, Doctor of Technical Sciences (D.Sc.), Professor, Department of Pressure Dynamics Control in Rocks, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine.

Vasyliev Dmytro Leonidovych, Doctor of Technical Sciences (D.Sc.), Senior Researcher, Department of Elastomeric Structures, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine.

Malich Mykola Hryhorovych, Assistant Professor in Department of Mechanical Engineering, Ukrainian State University of Science and Technologies, Dnipro, Ukraine.

Katan Volodymyr Oleksandrovych, Assistant Professor in Department of Accounting Modeling and Statistics,Oles Honchar Dnipro National University, Dnipro, Ukraine.

Rizo Zakhar Mykolaiovych, Ph.D. Student, Department of Elastomeric Structures, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine.

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