ArticleName |
Some problems of mechanics of deformable solid and granular media in mining |
Abstract |
The author gives a performance review of the Laboratory for Mechanics of Deformable Solid and Granular Media in connection with an anniversary celebrated at the Institute of Mining, SB RAS. A set of developed devices implements uniform shearing and various-path complex loading of granular and other materials alike. New regularities of elastoplastic deformation and dilatancy are described. Rocks and soil are known to contain different systems of joints, claypans and other structures. The Laboratory has developed an algorithm of experimental production of such structures. The algorithm is composed of three conditions. First, the process of loading should induce either uniform or nearly uniform distribution of strains in the medium. Second, the loading should be stiff, i.e., displacements should be set at the entire closed boundary. And third, the loading parameters should allow a loss in deformation stability. Implementation of the algorithm made it possible to discover some new structures. These results have contributed to the current concept of block hierarchical structure of rock mass. The concept of a rock as a medium capable to accumulate and release energy at different structural levels is developed. New invariants of stress tensor are obtained by averaging stresses in the plane of Mohr’s envelope. In the ranges of high stress gradients, it is required to construct and use nonlocal type models. In the framework of the mathematical models, the algorithms and software systems have been developed for the solution of various problems in mining. The study was supported by the Fundamental Research Program, Projects Nos. AAAA-A17-117122090002-5 and AAAA-A17-117121140065-7. |
References |
1. Revuzhenko A. F., Stazhevskii S. B., Shemyakin E. I. Mechanism of deformation of a granular material under high shear. Soviet Mining. 1974. Vol. 10, Iss. 3. pp. 374–377. 2. Sadovskiy M. A. Natural lumpiness of rocks. Doklady Akademii nauk SSSR. 1979. Vol. 247, No. 4. pp. 829–831. 3. Stazhevskii S. B. Deformation of loose materials in convergent axisymmetri channels. Soviet Mining. 1981. Vol. 17, Iss. 3. pp. 199–206. 4. Bushmanova O. P. Elastic-plastic deformation and shear bands in materials. Physical Mesomechanics. 2004. Vol. 7. Special issue No. 1. pp. 93–96. 5. Kramadzhyan A. A., Stazhevsky S. B., Khan G. N. Modeling of the discharge of free-flowing materials from hoppers. Journal of Mining Science. 1999. Vol. 35, Iss. 4. pp. 392–399. 6. Lavrikov S. V. Simulation of geomaterial flow in convergent channels with consideration for internal friction and dilatancy. Journal of Mining Science. 2010. Vol. 46, Iss. 5. pp. 485–494. 7. Klishin V. I., Opruk G. Yu., Klishin S. V. Mechanized Mining of Thick Cragged Layers With Sub-Levels with Controlled Coal Draw. Ugol. 2014. No. 11. pp. 8–11. 8. Klishin S. V., Klishin V. I., Opruk G. Yu. Modeling coal discharge in mechanized steep and thick coal mining. Journal of Mining Science. 2013. Vol. 49, Iss. 6. pp. 932–940. 9. Revuzhenko A. F. Mechanics of elastoplastic media and nonstandard analysis. Novosibirsk : Izdatelstvo Novosibirskogo universiteta, 2000. 428 p. 10. Umov N. A. Selectals. Moscow – Leningrad : Gostekhizdat, 1950. 553 p. 11. Love A. E. H. A Treatise on the Mathematical Theory of Elasticity. 4th ed. Cambridge : University Press, 1927. 675 p. 12. Revuzhenko A. F. Mechanics of granular media: Some basic problems and applications. Journal of Mining Science. 2014. Vol. 50, Iss 5. pp. 819–830. 13. Van Dyke M. An Album of Fluid Motion. 14^{th} ed. Stanford : Parabolic Press, 1982. 176 p. 14. Kosykh V. P. Displacement discontinuity distribution in granular materials under confined-space shearing. Journal of Mining Science. 2010. Vol. 46, Iss. 3. pp. 234–240. 15. Bobryakov A. P. Modeling dynamic manifestations in a space-limited deformable block medium. Journal of Mining Science. 2012. Vol. 48, Iss. 6. pp. 975–981. 16. Bobryakov A. P. Modeling trigger effects in faultin g zones in rocks. Journal of Mining Science. 2013. Vol. 49, Iss. 6. pp. 873–880.
17. Bobryakov A. P., Kosykh V. P. Modeling unstable plastic flow in deformation of geomedium. Fundamentalnye i prikladnye voprosy gornykh nauk. 2014. Vol. 1, No. 1. pp. 63–68. 18. Kocharyan G. G., Kostyuchenko V. N., Pavlov D. V. Crustal deformation induced by weak disturbances. Physical Mesomechanics. 2004. Vol. 7, No. 1. pp. 5–22. 19. Kosykh V. P., Kosykh P. V. Fluctuations of stresses in geomaterials under long-term weak impacts. Trigger Effects in Geosystems : Proceedings of All-Russian Conference with International Participation. Moscow : GEOS, 2017. pp. 176–182. 20. Lavrikov S. V. Numerical stress-strain analysis of rock mass around an opening with regard to weakening. Deformation and Failure of Materials with Defects and Dynamic Events in Rocks and Mines : Proceedings of XXI Academician Khristianovich International School. Alushta, 2011. pp. 203–205. 21. Lavrikov S.V. On calculation of the stress-strain state of a softened block massif near mine working. Physical Mesomechanics. 2010. Vol. 13, No. 4. pp. 53–63. 22. Lavrikov S.V. Discrete element method-based modeling of jump deformation in self-stressing samples of geomaterials. Deformation and Failure of Materials with Defects and Dynamic Events in Rocks and Mines : Proceedings of XXVII Academician Khristianovich International School. Alushta, 2017. pp. 142–146. 23. Jimé nez-Herrera N., Barrios G. K. P., Tavares L. M. Comparison of breakage models in DEM in simulating impact on particle beds. Advanced Powder Technology. 2018. Vol. 29, Iss. 3. pp. 692–706. 24. Rackl M., Top F., Molhoek C. P., Schott D. L. Feeding system for wood chips: A DEM study to improve equipment performance. Biomass and Bioenergy. 2017. Vol. 98. pp. 43–52. 25. Xiaoqiang Gu, Maosong Huang, Jiangu Qian. Discrete element modeling of shear band in granular materials. Theoretical and Applied Fracture Mechanics. 2014. Vol. 72. pp. 37–49. 26. Rorato R., Arroyo M., Gens A., Andò E., Viggiani G. Particle Shape Distribution Effects on the Triaxial Response of Sands: A DEM Study. Micro to MACRO: Mathematical Modelling in Soil Mechanics. Cham : Springer, 2018. pp. 277–286. 27. Zhou W., Liu J., Gang Ma, Ma X., Xiaolin Chang, Zhang C. The Influence of Rolling Resistance on Granular Responses Under Triaxial Loading Paths. Proceedings of the 7^{th} International Conference on Discrete Element Methods. Singapore : Springer, 2017. Vol. 188. pp. 209–216. 28. Klishin S. V., Mikenina O. A. About a paradoxical motion of granular material inside an elliptical domain. Vestnik Chuvashskogo gosudarstvennogo pedagogicheskogo universiteta im. I. Ya. Yakovleva. Ser.: Mekhanika predelnogo sostoyaniya. 2013. No. 2(16). pp. 154–162. 29. Klishin S. V., Mikenina O. A. Horizontal pressure coefficient in a random packing of discrete elements. Journal of Mining Science. 2013. Vol. 49, Iss. 6. pp. 881–887. 30. Klishin S. V. Numerical analysis of granular material motion behind retaining wall. Fundamentalnye i prikladnye voprosy gornykh nauk. 2014. Vol. 1, No. 1. pp. 128–134. 31. Novozhilov V. V. Physical sense of stress invariants. Journal of Applied Mathematics and Mechanics. 1951. Vol. 15, Iss. 2. |