Fracture Diagrams of Prismatic Specimens with an Improved Contact Stress Distribution Law
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Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
IOP Publishing Ltd
Abstract
ENG: The authors have previously improved the principles of distribution of contact normal and tangential stresses at the moment of destruction of the specimen on the basis of L. Prandtl's method as applied to rocks. The article presents further development of the method for constructing out-of-limit curves of "stress - longitudinal deformation" diagrams of rocks. A comparative assessment of the proposed method for calculating diagrams in comparison with diagrams has been constructed by E.P.Unksov method. It has been found that the parameters of the diagrams differ in numerical values in direction of increasing the reliability. Comparison of the calculated diagrams "stress - ordinate of the crack tip" and "stress - deformation" according to the improved method and the method of E.P. Unksov testifies that the level of the current strength values decreases with the development of two cracks at small angles of internal friction. The proposed method allows to determine the ultimate strength and residual strength of rock samples using their shear strength, internal, and contact friction coefficients, elastic modulus, which by simple methods can be established experimentally in laboratories of mining enterprises. The results can be used to control the state of the rock mass and effective destruction during disintegration.
Description
M. Malich: ORCID 0000-0003-4967-5378
Keywords
L. Prandtl's method, method of E.P. Unksov, rocks, diagrams, "stress - longitudinal deformation", "stress - ordinate of the crack tip", "stress - deformation", ultimate strength, residual strength, КГМ
Citation
Vasyliev L., Vasyliev D., Malich M., Zhuravkov M., Katan V. Fracture Diagrams of Prismatic Specimens with an Improved Contact Stress Distribution Law. IOP Conference Series: Earth and Environmental Science. 2022. Vol. 970 : Proc. of the III International Conference "Essays of Mining Science and Practice" (Dnipro, Ukraine, 06/10/2021 – 08/10/2021). Art. 012041. DOI: 10.1088/1755-1315/970/1/012041.