Analysis of cracks development in rock massif with the use of dynamic destruction resistance
Abstract
The object of research: the process of development of main cracks in the massif of rocks under the action of a wave impulse taking into account the dynamic destruction resistance.
Investigated problem: Description of the dynamics of crack development in the impulse mode of increasing their size, as well as the transition to an unstable mode of crack growth.
The main scientific results: In the present article uses an approach based on the principle of least action and N-characteristic of dynamic crack growth resistance. This allowed to obtain analytical equations of the crack growth trajectory in the rock massif and the main characteristics of the process.
The area of practical use of the research results: The considered approach allows to predict the formation of the shear surface in quarries and natural slopes. This approach also allows to set a time-varying probability of their steady state and adjust, if necessary, the parameters of blasting.
Innovative technological product: Analytical regularities for the driving force of the crack and dynamic destruction resistance are obtained, which take into account the velocity and acceleration of the crack, as well as the time and nonstationarity of the impulse load.
Scope of the innovative technological product: The proposed approach can be used in the design of blasting operations in quarries and in the calculation of the probabilities of the steady state of natural massifs under the influence of impulse loads.
Downloads
References
Frolov, O. O., Kosenko, T. V., Vashchuk, V. Z. (2016). Study of the distribution of energy flows of explosionsin the process of destruction of the model medium. Visnyk NTUU «KPI». Seriia «Hirnytstvo», 30, 23–29. Available at: http://mining.kpi.ua/article/view/68472/0
Kriuchkov, A., Bakhtyn, A. (2019). Description of the form, dissemination and damping of the explosive impulse in the rocks massif. Up-to-Date Resource- and Energy- Saving Technologies in Mining Industry, 1 (23), 18–27. doi: http://doi.org/10.30929/2074-1537.2019.1.18-27
Panin, V. E., Egorushkin, V. E. (2015). Basic Physical Mesomechanics of Plastic Deformation and Fracture of Solids as Hierarchically Organized Nonlinear Systems. Physical Mesomechanics, 18 (4), 377–390. doi: http://doi.org/10.1134/s1029959915040104
Zhang, S., Liu, W., Lv, H. (2019). Creep energy damage model of rock graded loading. Results in Physics, 12, 1119–1125. doi: http://doi.org/10.1016/j.rinp.2018.12.081
Tishchenko, S. V., Eremenko, G. I., Malykh, D. Yu. (2014). Efficiency of explosion energy use when blasting a well charge with explosives. Mining Bulletin, 97, 19–21. Available at: http://nbuv.gov.ua/UJRN/girvi_2014_97_7
Isaiev, S. D., Pashkov, A. P., Fedorenko, P. Y., Napadovska, L. A. (2012). Doslidzhennia efektyvnosti zastosuvannia donnykh prostrilochnykh zariadiv na karierakh. Visnyk NTUU «KPI». Seriia «Hirnytstvo», 22, 109–114. Available at: http://ekmair.ukma.edu.ua/bitstream/handle/123456789/2669/Pashkov_Dosldizhennia_efektyvnosti_zastosuvannia.pdf?sequence=1
Pippan, R., Hohenwarter, A. (2017). Fatigue crack closure: a review of the physical phenomena. Fatigue & Fracture of Engineering Materials & Structures, 40 (4), 471–495. doi: http://doi.org/10.1111/ffe.12578
Reiser, J., Wurster, S., Hoffmann, J., Bonk, S., Bonnekoh, C., Kiener, D. et. al. (2016). Ductilisation of tungsten (W) through cold-rolling: R-curve behaviour. International Journal of Refractory Metals and Hard Materials, 58, 22–33. doi: http://doi.org/10.1016/j.ijrmhm.2016.03.006
Kumar, R. S. (2017). Crack-growth resistance behavior of mode-I delamination in ceramic matrix composites. Acta Materialia, 131, 511–522. doi: http://doi.org/10.1016/j.actamat.2017.04.012
Griffith, A. (1920). The phenomena of rupture in solids. London: Philosophical Transactions of the Royal Society, 163–197. doi: http://doi.org/10.1098/rsta.1921.0006
Irwin, G.; Flugge, S. (Ed.) (1958). Fracture dynamics. Fracture of metals. Springer, 4, 551–590. doi: http://doi.org/10.1007/978-3-662-43081-1_5
Babeshko, V. A., Evdokimova, O. V., Babeshko, O. M. (2019). A new type of cracks adding to griffith-irwin cracks. Doklady Physics, 64 (2), 102–105. doi: http://doi.org/10.1134/s1028335819030042
Cherdantsev, N. V., Shadrin, A. V. (2017). A fluid pressure-loaded single crack located in a rock massif propagation trajectory calculation. Bulletin of Research Center for Safety in Coal Industry (Industial Safety), 4, 18–26. doi: http://doi.org/10.26631/arc4-2017-18-26
Mott, N. F. (2001). Electrons in disordered structures. Advances in Physics, 50 (7), 865–945. doi: http://doi.org/10.1080/00018730110102727
Ioffe, A. F. (1980). Problemy sovremennoi fiziki. Moscow: Nauka, 586.
Sung, P.-H., Chen, T.-C. (2015). Studies of crack growth and propagation of single-crystal nickel by molecular dynamics. Computational Materials Science, 102, 151–158. doi: http://doi.org/10.1016/j.commatsci.2015.02.031
Bleyer, J., Roux-Langlois, C., Molinari, J.-F. (2016). Dynamic crack propagation with a variational phase-field model: limiting speed, crack branching and velocity-toughening mechanisms. International Journal of Fracture, 204 (1), 79–100. doi: http://doi.org/10.1007/s10704-016-0163-1
Kobaiashi, T., Delli, D. (1981). Zavisimost mezhdu skorostiu treschiny i koeffitsientom intensivnosti napriazhenii v polimerakh s dvoinym lucheprelomleniem. Mekhanika razrusheniia. Moscow: Mir, 25, 101–119.
Efimov, V. P., Sher, E. N. (2001). Opredelenie dinamicheskoi treschinostoikosti organicheskogo stekla. Prikladnaia mekhanika i tekhnicheskaia fizika, 42 (5), 217–225. Available at: https://www.sibran.ru/upload/iblock/947/9476bb624bb1bc95b7dfe5316ea3b2c3.pdf
Golubyatnikov, A. N. (2018). Small-amplitude discontinuities of solutions to equations of continuum mechanics. Proceedings of the Steklov Institute of Mathematics, 300 (1), 56–67. doi: http://doi.org/10.1134/s0371968518010041
Copyright (c) 2021 Anatolii Bakhtyn, Anatolii Bakhtyn
This work is licensed under a Creative Commons Attribution 4.0 International License.
Our journal abides by the Creative Commons CC BY copyright rights and permissions for open access journals.
Authors, who are published in this journal, agree to the following conditions:
1. The authors reserve the right to authorship of the work and pass the first publication right of this work to the journal under the terms of a Creative Commons CC BY, which allows others to freely distribute the published research with the obligatory reference to the authors of the original work and the first publication of the work in this journal.
2. The authors have the right to conclude separate supplement agreements that relate to non-exclusive work distribution in the form in which it has been published by the journal (for example, to upload the work to the online storage of the journal or publish it as part of a monograph), provided that the reference to the first publication of the work in this journal is included.
