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
- Details
- 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 fс = 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.
REFERENCES
1. Nesmashnyiy, E.A. and Bolotnikov, A.V. (2017), “Determining the strength of rock formations using modern equipment on the example of the "Bolshaya Glivatka" deposit”, Metallurgicheskaya i gornorudnaya promyishlennost, Vol. 3, pp. 82–87.
2. Bingxiang, H. and Jiangwei, L. (2013), "The Effect of Loading Rate on the Behavior of Samples Composed of Coal and Rock", International Journal of Rock Mechanics and Mining Sciences, Vol. 61, pp. 23–30. https://doi.org/10.1016/j.ijrmms.2013.02.002
3. Meyer, J.P. and Labuz, J.F. (2013), "Linear Failure Criteria with Three Principal Stresses", International Journal of Rock Mechanics and Mining Sciences, Vol. 60, pp. 180–187. https://doi.org/10.1016/j.ijrmms.2012.12.040
4. Tarasov, B. and Potvin, Yv. (2013), "Universal Criteria for Rock Brittleness Estimation under Triaxial Compression", International Journal of Rock Mechanics and Mining Sciences, pp. 57–69. https://doi.org/10.1016/j.ijrmms.2012.12.011
5. Chanyishev, A.I. (2010), Zapredelnoe deformirovanie materialov pri antiploskoy deformatsii i ego uchYot v zadache o rasprostranenii pryamolineynoy polubeskonechnoy treschinyi. Deformirovanie i razrushenie materialov s defektami i dinamicheskie yavleniya v gornyih porodah i vyirabotkah[Excessive deformation of materials under anti-plane strain and its accounting in the problem of propagation of a straight semi-infinite crack. Deformation and failure of materials with defects and dynamic phenomena in rocks and mines], Ukraine Taurida National V.I. Vernadsky University, Simferopol, Ukraine.
6. Lavrinov, S.V., Revuzhenko, A.F. (2017), “Modeling the deformation processes of self-stressed rock samples”, Nauchnyy zhurnal Fiziko-tekhnicheskiye problemy razrabotki poleznykh iskopayemykh, pp.1–24. https://doi.org/10.1134/S1062739117011796
7. Baron, L.I. (1958), Razrushenie uglya i gornyih porod[Destruction of coal and rocks], Ugletehizdat, Moscow, USSR.
8. Vasilev, L.M., Vasilev, D.L., Malich, N.G. and Angelovskiy, A.A. (2018), Mehanika obrazovaniya form razrusheniya obraztsov gornyih porod pri ih szhatii[Mechanics of formation of failure forms of rock samples under compression]. IMA-press, Dnipro, Ukraine.
9. Filin, A.P. (1975), Prikladnaya mehanika tverdogo deformiruemogo tela [Applied mechanics of deformable solids], Fizmatgiz, Moscow, USSR.
10. Vasiliev, L.M., Vasiliev, D.L., Malich, M.G. and Anhelovskyi, O.O. (2017), “Analytical method for calculating and charting “stress-deformation” provided longitudinal form of destruction of rock samples”, Naukovyi visnyk Natsionalnoho universytetu Ukrainy, no. 3, pp. 74–80.
11. Vasilev, L.M. and Vasilev, D.L. (2015), “Accounting for contact friction in the problem of rock destruction”, Nauchnyy zhurnal Fiziko-tekhnicheskiye problemy razrabotki poleznykh iskopayemykh, no. 3, pp. 48–56.
12. Aptukov, V.N. (2016). “Deformation criterion for the destruction of salt rock samples”, Nauchnyy zhurnal Fiziko-tekhnicheskiye problemy razrabotki poleznykh iskopayemykh, no. 3, pp. 30–45.
13. Kurguzov, V.D. (2019), “Comparative analysis of criteria for the destruction of artificial materials and rocks”, Nauchnyy zhurnal Fiziko-tekhnicheskiye problemy razrabotki poleznykh iskopayemykh, pp. 79–89.
14. Melnikova, N.V., Rzhevskogo, V.V. and Protodyakonova, M.M. (1975), Spravochnik (kadastr) fizicheskih svoystv gornyih porod[Handbook (cadastre) of physical properties of rocks], Nedra, Moscow, USSR.
15. Baron, L.I. (1977), Gorno-tehnicheskoe porodovedenie [Mining and technical science], Nauka, Moscow, Russia.
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.
VasylievDmytro 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.
KatanVolodymyr Oleksandrovych, Assistant Professor in Department of Accounting Modeling and Statistics,Oles Honchar Dnipro National University, Dnipro, Ukraine.
RizoZakhar 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.