A A A Ц Ц Ц Ц

ШРИФТ:

Arial Times New Roman

ИНТЕРВАЛ:

х1 х1.5 х2

КЕРНИНГ:

Обычный Средний Большой

ИЗОБРАЖЕНИЯ:

Черно-белые Цветные
For the visually impaired Standard Version
Scientific, Technological and Production Journal
ISSN 2079–3332 (print)
ISSN 3034-6835 (online)
founded in 2001

Study of scale effect under uniaxial compression of rocks using the finite-discrete element method in the «PROROCK 2.0» software

Original articles: 2026 No 3

Study of scale effect under uniaxial compression of rocks using the finite-discrete element method in the «PROROCK 2.0» software

DOI: 10.56195/20793332-2026-26-3-56-61

Read in pdf A. K. Kirsanov, A. S. Tkachenko, S. A. Bogomolov
  1. Siberian Federal University, Krasnoyarsk, Russian Federation
p. 56-61, No.3/2026
Abstract:
The paper presents the results of numerical modeling of the scale effect under uniaxial compression of homogeneous rock samples using the specialized software package PROROCK 2.0, which implements the finite-discrete element method. The aim of the study was to determine the patterns of variation in the strength characteristics of rocks depending on specimen size while maintaining identical physical and mechanical properties and loading conditions. The simulations were carried out for two types of rocks – marble and basalt. The obtained relationships revealed a decrease in strength with increasing specimen size, indicating the presence of a scale effect. It was established that the failure mechanism is brittle in nature. The results demonstrate the extent of the scale effect and highlight the necessity of accounting for it when transitioning from laboratory experiments to engineering calculations of rock mass stability.
Keywords:
rock strength, uniaxial compression, finite-discrete element method, rock failure, scale effect
For citation:
Kirsanov А.K., Tkachenko A.S., Bogomolov S.A. Study of scale effect under uniaxial compression of rocks using the finite-discrete element method in the «PROROCK 2.0» software. Mine Surveying and Subsurface Use. 2026; 26 (3): 56-61. (In Russ.). https://doi.org/10.56195/20793332-2026-26-3-56-61.
Information about the authors:
  1. Aleksandr K. Kirsanov – Сand. Sci. (Eng.), Associate Professor, Siberian Federal University, Krasnoyarsk, Russian Federation; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
  2. Aleksandr S. Tkachenko – Student, Siberian Federal University, Krasnoyarsk, Russian Federation
  3. Stepan A. Bogomolov Student, Siberian Federal University, Krasnoyarsk, Russian Federation
References:
  1. 1. Choo J., Sun Y., Fei F. Size effects on the strength and cracking behavior of flawed rocks under uniaxial compression: from laboratory scale to field scale. Acta Geotechnica. 2023; 18 (7): 3451-3468. https://doi.org/10.1007/s11440-023-01806-7.
  2. 2. Hu C., Li X., Wu Y., et al. Experimental and numerical investigation on mechanical and fracture characteristics of jointed rock with varying roughness. Journal of Safety and Sustainability. 2025; 2 (1): 59-71. https://doi.org/10.1016/j.jsasus.2024.12.001.
  3. 3. Chen Y., Sheng B., Xie S., et al. Crack propagation and scale effect of random fractured rock under compression-shear loading. Journal of Materials Research and Technology. 2023; 23: 5164-5180. https://doi.org/10.1016/j.jmrt.2023.02.104.
  4. 4. Zhao L.-Y., Ren L., Niu F.-J., et al. Estimation of elastic properties and failure strength of layered rocks with a multi-scale damage approach. International Journal of Plasticity. 2023; 168: 103681. https://doi.org/10.1016/j.ijplas.2023.103681.
  5. 5. Королев В.А. Теоретическая оценка масштабного эффекта в дисперсных грунтах. Вестник Московского университета. Серия 4: Геология. 2017; 6: 77-86. Korolev V.A. Theoretical assessment of size effect in dispersed soils. Moscow University Geology Bulletin. 2017; 6: 77-86. (In Russ.).
  6. 6. Шутов В.А., Миренков В.Е. Расчет деформирования и масштабный фактор в задачах геомеханики. Интерэкспо Гео-Сибирь. 2018; 5: 239-244. https://doi.org/10.18303/2618-981X-2018-5-239-244. Shutov V.A., Mirenkov V.E. Deformation analysis and size factor in geomechanics problems. InterExpo Geo-Siberia. 2018; 5: 239-244. https://doi. org/10.18303/2618-981X-2018-5-239-244. (In Russ.).
  7. 7. Супрун В.И., Левченко Я.В., Колотовкин А.С., Ворошилин К.С. Влияние масштабного фактора на прочность горных пород. Горный информационно-аналитический бюллетень (научно-технический журнал). 2023; 10: 5-19. https://doi.org/10.25018/0236_1493_2023_10_0_5. Suprun V.I., Levchenko Ya.V., Kolotovkin A.S., Voroshilin K.S. Influence of size effect on rock strength. Mining Informational and Analytical Bulletin. 2023; 10: 5-19. https://doi.org/10.25018/0236_1493_2023_10_0_5. (In Russ.).
  8. 8. Ильницкая Е.И. Влияние масштабного фактора на прочностные свойства горных пород. Физико-механические свойства, давление и разрушение горных пород. Москва, 1972. С. 17-24. Ilnitskaya E.I. Influence of size effect on the strength properties of rocks. Physical and mechanical properties, pressure and destruction of rocks. Moscow, 1972: 17-24. (In Russ.).
  9. 9. Койфман М.И. Главный масштабный эффект в горных породах и углях. Проблемы механизации горных работ. Москва, 1963: 39-56. Koifman M.I. The principal size effect in rocks and coals. Problems of mechanization of mining operations. Moscow, 1963: 39-56. (In Russ.).
  10. 10. Шашенко А.Н., Сдвижкова Е.А., Кужель С.В. Масштабный эффект в горных породах. Донецк, 2004: 132. Shashenko A.N., Sdvizhkova E.A., Kuzhel S.V. Size effect in rocks. Donetsk, 2004: 132 (In Russ.).
  11. 11. Hoek E., Brown E.T. Underground Excavation in Rock. Institution of Mining and Metallurgy. 1980: 527.
  12. 12. Lobo-Guerrero S., Vallejo L. Application of Weibull statistics to the tensile strength of rock aggregates. Journal of Geotechnical and Geoenvironmental Engineering. 2006: 132 (6): 786-794. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:6(786).
  13. 13. Bažant Z.P. Concrete fracture models: testing and practice. Engineering Fracture Mechanics. 2002; 69: 165-205. https://doi.org/10.1016/S0013-7944(01)00084-4.
  14. 14. Carpinteri A. Fractal nature of material microstructure and size effects on apparent mechanical properties. Mechanics of Materials. 1994. https:// doi.org/10.1016/0167-6636(94)00008-5.
  15. 15. Wu X., Tao M., Yang Z., et al. Stress migration and failure mechanisms of rocks with holes under gradient stress conditions. International Journal of Rock Mechanics and Mining Sciences. 2025; 195: 106306. https://doi.org/10.1016/j.ijrmms.2025.106306.
  16. 16. Komurlu E. Loading rate conditions and specimen size effect on strength and deformability of rock materials under uniaxial compression. Geo-Engineering. 2018; 9: 17. https://doi.org/10.1186/s40703-018-0085-z.
  17. 17. Hu Z., Xie L., Qin Y., et al. Numerical simulation of size effect of defective rock under compression condition. Scientific Reports. 2023; 13: 420. https://doi.org/10.1038/s41598-023-27651-y.
  18. 18. Латышев О.Г., Прищепа Д.В. Учет масштабного эффекта при проектировании параметров горной технологии. Известия Уральского государственного горного университета. 2017; 1 (45): 59-61. https://doi.org/10.21440/2307–2091-2017-1-59-61. Latyshev O.G., Prishchepa D.V. Consideration of the scale effect in designing mining technology parameters. News of the Ural State Mining University. 2017; 1 (45): 59–61. https://doi.org/10.21440/2307–2091-2017-1-59-61. (In Russ.).
  19. 19. Volonté G., Stenebraten J., Papamichos E. Effect of specimen size and shape on the mechanical properties measured on plugs subsampled from sidewall cores. E3S Web of Conferences. 2023; 366. https://doi.org/10.1051/e3sconf/202336601014.

 

Золото России и СНГ

New materials