Vasyliev D., Tynyna S., Kress D., Rizo Z., Kulak Ye. Mathematical model for calculating the parameters of diagrams of crushing cylindrical samples of rock species with their wedge-shaped form of destruction
- Details
- Parent Category: Geo-Technical Mechanics, 2025
- Category: Geo-Technical Mechanics, 2025, Issue 175
Geotech. meh. 2025, 175, 25-37
https://doi.org/10.15407/geotm2025.175.025
MATHEMATICAL MODEL FOR CALCULATING THE PARAMETERS OF DIAGRAMS OF CRUSHING CYLINDRICAL SAMPLES OF ROCK SPECIES WITH THEIR WEDGE-SHAPED FORM OF DESTRUCTION
M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine
UDC 622.831: 624.131
Language: English
Abstract. Managing the stress-strain state of rock masses will enable the prediction and assurance of safe mining operations during the exploitation of enterprises. Therefore, the authors of the article have established that one of the key characteristics that are significant for controlling the stress-strain state of rock masses and ensuring their effective destruction during disintegration are the strength limit and residual strength indicators of the samples. These parameters are determined based on diagrams that reflect the dependence of normal stress on longitudinal deformation during the ultimate destruction of materials. It should also be noted that the results of the studies conducted are needed directly at the mining enterprise to make decisions based on the information obtained about the properties of rocks, and this equipment is not available at the sites themselves. The purpose of the article is to develop an analytical method for calculating the parameters of cylindrical rock sample crushing diagrams based on their wedge-shaped failure mode in order to control the stress-strain state of the rock mass and increase the efficiency of failure during disintegration. The authors analytically modelled the process of destruction of cylindrical rock samples during wedge-shaped destruction using experimental values of four rock property indicators: shear strength, internal and external friction coefficients, and elastic modulus. The limits and residual strength of the samples are equivalent to analytical data calculated from the normal stress-longitudinal strain diagrams obtained on pressing equipment. Comparison of the calculated strength limits with the experimental results confirmed the reliability of the developed method with an accuracy of 82–85%.
For the first time, analytical modelling of the destruction process of cylindrical rock samples caused by wedge-shaped destruction has been performed, taking into account internal and external friction factors. The proposed method allows determining the parameters of stress-strain diagrams of cylindrical rock samples with wedge-shaped destruction using four property indicators that can be easily established experimentally in mining conditions, where the calculation results can be quickly used to assess the effectiveness of destruction during disintegration.
Keywords: rock, strength limit, destruction, crack, "stress-strain" diagram
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About the authors
Vasiliev Dmytro, Doctor of Technical Sciences (D.Sc.), Senior Researcher, Senior Researcher of Department of Mechanics of structures elastomeric mining machines, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Science of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0000-0001-6864-357X
Tynyna Serhii, Candidate of Technical Sciences (Ph.D.), Senior Researcher, Senior Researcher of Department of Mechanics of structures elastomeric mining machines, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Science of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0000-0002-9448-5488
Kress Denys, Graduate Student,M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Science of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. (Corresponding author), ORCID 0009-0001-9504-5695
Rizo Zahar, Graduate Student,M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Science of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0000-0002-8271-7886
Kulak Yevhen, Graduate Student,M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Science of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0009-0003-5931-9454