Skip to main content
Erschienen in: Rock Mechanics and Rock Engineering 10/2023

21.07.2023 | Original Paper

Mechanical Behavior and Fracture Evolution Mechanism of Composite Rock Under Triaxial Compression: Insights from Three-Dimensional DEM Modeling

verfasst von: Yu Song, Sheng-Qi Yang, Ke-Sheng Li, Peng-Fei Yin, Peng-Zhi Pan

Erschienen in: Rock Mechanics and Rock Engineering | Ausgabe 10/2023

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Existing studies on transversely isotropic rock formations, a special geology, have mainly focused on its mechanical characteristics; whereas, investigations on its fracture process and damage microscopic mechanisms are relatively limited. To remedy this deficiency, in this study, a three-dimensional numerical model is established using discrete elements (PFC3D), focusing on the effects of confining pressure (0, 5, 10, 15, and 20 MPa) and laminar inclination angle (θ, θ15°, θ30°, θ45°, θ60°, θ75°, and θ90°) on the failure behavior of the composite rock. To demonstrate the accuracy of the simulations, the stress–strain curves and ultimate failure modes obtained from the numerical simulations were compared with the previous laboratory mechanical test results and X-ray CT images. Numerical models using the smooth-joint contact model were shown to simulate the laboratory results reasonably well. Numerical simulation results indicate that the confining pressure and laminar angle significantly influence the internal crack evolution patterns of the specimen. The internal cracks change from a concentrated to a discrete distribution as the confining pressure increases. The internal cracks of specimens with θ and θ90° laminar inclination emerges from the soft rock and eventually extends to the hard rock, while the inclined specimens crack from the laminar face and finally spread to the rock matrix, which can be explained by the graph of the increasing number of cracks. In addition, the internal principal stress and tangential stress in soft and hard rocks were monitored by arranging measurement circles, and it was found that the tangential stresses are the essential cause of the difference between the mechanical behavior of the two rock types.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Ademović N, Kurtović A (2021) Influence of planes of anisotropy on physical and mechanical properties of freshwater limestone (mudstone). Constr Build Mater 268:121174 Ademović N, Kurtović A (2021) Influence of planes of anisotropy on physical and mechanical properties of freshwater limestone (mudstone). Constr Build Mater 268:121174
Zurück zum Zitat Cao WK, Liu W (2022) The wellbore stability study in bedding shale formation the condition of plasticity. Chem Technol Fuels Oils 58:220–231 Cao WK, Liu W (2022) The wellbore stability study in bedding shale formation the condition of plasticity. Chem Technol Fuels Oils 58:220–231
Zurück zum Zitat Chen DH, Chen H, Zhang W (2022) An analytical solution of equivalent elastic modulus considering confining stress and its variables sensitivity analysis for fractured rock masses. J Rock Mech Geotech Eng 14:825–836 Chen DH, Chen H, Zhang W (2022) An analytical solution of equivalent elastic modulus considering confining stress and its variables sensitivity analysis for fractured rock masses. J Rock Mech Geotech Eng 14:825–836
Zurück zum Zitat Cheng JL, Yang SQ, Chen K (2017) Uniaxial experimental study of the acoustic emission and deformation behavior of composite rock based on 3D digital image correlation (DIC). Acta Mech Sin 33(6):999–1021 Cheng JL, Yang SQ, Chen K (2017) Uniaxial experimental study of the acoustic emission and deformation behavior of composite rock based on 3D digital image correlation (DIC). Acta Mech Sin 33(6):999–1021
Zurück zum Zitat Cheng JL, Yang SQ, Yin PF (2018) Experimental study of the deformation and strength behavior of composite rock specimens in unloading confining pressure test. J China Univ Min Technol 47:6 Cheng JL, Yang SQ, Yin PF (2018) Experimental study of the deformation and strength behavior of composite rock specimens in unloading confining pressure test. J China Univ Min Technol 47:6
Zurück zum Zitat Cheng JL, Luo S, Li JB (2020) Triaxial loading test of strength behavior and failure mechanism of composite rock. J Min Safety Eng 37:6 Cheng JL, Luo S, Li JB (2020) Triaxial loading test of strength behavior and failure mechanism of composite rock. J Min Safety Eng 37:6
Zurück zum Zitat Chiu CC, Wang TT, Weng MC (2013) Modeling the anisotropic behavior of jointed rock mass using a modified smooth-joint model. Int J Rock Mech Min Sci 62:14–22 Chiu CC, Wang TT, Weng MC (2013) Modeling the anisotropic behavior of jointed rock mass using a modified smooth-joint model. Int J Rock Mech Min Sci 62:14–22
Zurück zum Zitat Cho JW, Kim H, Jeon S (2012) Deformation and strength anisotropy of Asan geniss, Boryeong ahale, and Yeoncheon schist. Int J Rock Mech Min Sci 50:158–169 Cho JW, Kim H, Jeon S (2012) Deformation and strength anisotropy of Asan geniss, Boryeong ahale, and Yeoncheon schist. Int J Rock Mech Min Sci 50:158–169
Zurück zum Zitat Deng PH, Liu QS, Huang X (2022) FDEM numerical modeling of failure mechanisms of anisotropic rock masses around deep tunnels. Comput Geotech 142:104535 Deng PH, Liu QS, Huang X (2022) FDEM numerical modeling of failure mechanisms of anisotropic rock masses around deep tunnels. Comput Geotech 142:104535
Zurück zum Zitat Ding XB, Zhang LY, Zhu HH (2014) Effect of model scale and particle size distribution on PFC3D simulation results. Rock Mech Rock Eng 47:2139–2156 Ding XB, Zhang LY, Zhu HH (2014) Effect of model scale and particle size distribution on PFC3D simulation results. Rock Mech Rock Eng 47:2139–2156
Zurück zum Zitat Dobróka M, Szabó NP, Dobróka TE (2022) Multi-exponential model to describe pressure-dependent P- and S-wave velocities and its use to estimate the crack aspect ratio. J Rock Mech Geotech Eng 14:385–395 Dobróka M, Szabó NP, Dobróka TE (2022) Multi-exponential model to describe pressure-dependent P- and S-wave velocities and its use to estimate the crack aspect ratio. J Rock Mech Geotech Eng 14:385–395
Zurück zum Zitat Dong ZJ, Yang SQ, Sun BW (2022) Three-dimensional grain-based model study on triaxial mechanical behavior and fracturing mechanism of granite containing a single fissure. Theoret Appl Fract Mech 122:103602 Dong ZJ, Yang SQ, Sun BW (2022) Three-dimensional grain-based model study on triaxial mechanical behavior and fracturing mechanism of granite containing a single fissure. Theoret Appl Fract Mech 122:103602
Zurück zum Zitat Duan K, Kwok CY (2016) Evolution of Stress-induced borehole breakout in inherently anisotropic rock: insights from discrete element modeling. J Geophys Res 121:2361–2381 Duan K, Kwok CY (2016) Evolution of Stress-induced borehole breakout in inherently anisotropic rock: insights from discrete element modeling. J Geophys Res 121:2361–2381
Zurück zum Zitat Duan K, Kwok CY, Pierce M (2016) Discrete element method modeling of inherently anisotropic rocks under uniaxial compression loading. Int J Numer Anal Meth Geomech 40:1150–1183 Duan K, Kwok CY, Pierce M (2016) Discrete element method modeling of inherently anisotropic rocks under uniaxial compression loading. Int J Numer Anal Meth Geomech 40:1150–1183
Zurück zum Zitat Ghazvinian A, Vaneghi RG, Hadei MR (2013) Shear behavior of inherently anisotropic rocks. Int J Rock Mech Min Sci 61:96–110 Ghazvinian A, Vaneghi RG, Hadei MR (2013) Shear behavior of inherently anisotropic rocks. Int J Rock Mech Min Sci 61:96–110
Zurück zum Zitat He JM, Afolagboye LO (2018) Influence of layered orientation and interlayer bonding force on the mechanical behavior of shale under Brazilian test conditions. Acta Mechanica Sinca 34(2):349–358 He JM, Afolagboye LO (2018) Influence of layered orientation and interlayer bonding force on the mechanical behavior of shale under Brazilian test conditions. Acta Mechanica Sinca 34(2):349–358
Zurück zum Zitat He R, Ren L, Zhang R (2022) Anisotropy characterization of the elasticity and energy flow of Longmaxi shale under uniaxial compression. Energy Rep 8:1410–1424 He R, Ren L, Zhang R (2022) Anisotropy characterization of the elasticity and energy flow of Longmaxi shale under uniaxial compression. Energy Rep 8:1410–1424
Zurück zum Zitat Hill R (1950) The mathematical theory of plasticity. Oxford University Press, Oxford Hill R (1950) The mathematical theory of plasticity. Oxford University Press, Oxford
Zurück zum Zitat Ivars DM, Pierce ME, Darcel C (2011) The synthetic rock mass approach for jointed rock mass modeling. Int J of Rock Mech Min Sci 48:219–24 Ivars DM, Pierce ME, Darcel C (2011) The synthetic rock mass approach for jointed rock mass modeling. Int J of Rock Mech Min Sci 48:219–24
Zurück zum Zitat Jeager JC (1960) Shear failure of transversely isotropic rock. Geol Mag 97:65–72 Jeager JC (1960) Shear failure of transversely isotropic rock. Geol Mag 97:65–72
Zurück zum Zitat Jiang MJ, Yan HB, Zhu HH (2011) Modeling shear behavior and strain localization in cemented sands by two-dimensional distinct element method analyses. Comput Geotech 38:14–29 Jiang MJ, Yan HB, Zhu HH (2011) Modeling shear behavior and strain localization in cemented sands by two-dimensional distinct element method analyses. Comput Geotech 38:14–29
Zurück zum Zitat Lee H, Jeon S (2011) An experimental and numerical study of fracture coalescence in pre-cracked specimens under uniaxial compression. Int J Solids Struct 48:979–999 Lee H, Jeon S (2011) An experimental and numerical study of fracture coalescence in pre-cracked specimens under uniaxial compression. Int J Solids Struct 48:979–999
Zurück zum Zitat Liu LW, Li HB, Chen SH (2021) Effects of bedding planes on mechanical characteristics and crack evolution of rocks containing a single pre-existing flaw. Eng Geol 293:106325 Liu LW, Li HB, Chen SH (2021) Effects of bedding planes on mechanical characteristics and crack evolution of rocks containing a single pre-existing flaw. Eng Geol 293:106325
Zurück zum Zitat Mehranpour MH, Kulatilake PHSW (2017) Improvements for the smooth joint contact model of the particle flow code and its applications. Comput Geotech 87:163–177 Mehranpour MH, Kulatilake PHSW (2017) Improvements for the smooth joint contact model of the particle flow code and its applications. Comput Geotech 87:163–177
Zurück zum Zitat Park B, Min KB (2015) Bonded-particle discrete element modeling of mechanical behavior of transversely isotropic rock. Int J Rock Mech Min Sci 76:243–255 Park B, Min KB (2015) Bonded-particle discrete element modeling of mechanical behavior of transversely isotropic rock. Int J Rock Mech Min Sci 76:243–255
Zurück zum Zitat Park B, Min KB, Thompson N (2018) Three-dimensional bonded-particle discrete element modeling of mechanical behavior of transversely isotropic rock. Int J Rock Mech Min Sci 110:120–132 Park B, Min KB, Thompson N (2018) Three-dimensional bonded-particle discrete element modeling of mechanical behavior of transversely isotropic rock. Int J Rock Mech Min Sci 110:120–132
Zurück zum Zitat Potyondy D O., 2012, Flat-Jointed Bonded-Particle Material for Hard Rock. American Rock Mechanics Association Potyondy D O., 2012, Flat-Jointed Bonded-Particle Material for Hard Rock. American Rock Mechanics Association
Zurück zum Zitat Potyondy DO (2015) The bonded-particle model as a tool for rock mechanics research and application: current trends and fracture directions. Geosyst Eng 18(1):1–28 Potyondy DO (2015) The bonded-particle model as a tool for rock mechanics research and application: current trends and fracture directions. Geosyst Eng 18(1):1–28
Zurück zum Zitat Potyondy DO, Cundall PA (2004) A Bonded-particle model for rock. Int J Rock Mech Min Sci 41(8):1329–1364 Potyondy DO, Cundall PA (2004) A Bonded-particle model for rock. Int J Rock Mech Min Sci 41(8):1329–1364
Zurück zum Zitat Read RS, Chandler NA, Dzik EJ (1998) In situ strength criteria for tunnel design in highly-stressed rock masses. Int J Rock Mech Min Sci 35:261–278 Read RS, Chandler NA, Dzik EJ (1998) In situ strength criteria for tunnel design in highly-stressed rock masses. Int J Rock Mech Min Sci 35:261–278
Zurück zum Zitat Roy DG, Singh TN (2015) Effect of heat treatment and layer orientation on the tensile strength of a crystalline rock under Brazilian test condition. Rock Mech Rock Eng 49(5):1663–1677 Roy DG, Singh TN (2015) Effect of heat treatment and layer orientation on the tensile strength of a crystalline rock under Brazilian test condition. Rock Mech Rock Eng 49(5):1663–1677
Zurück zum Zitat Saeidi O, Vaneghi RG, Rasouli V (2013) A modified empirical criterion for strength of transversely anisotropic rocks with metamorphic origin. Bull Eng Geol Env 72(2):257–269 Saeidi O, Vaneghi RG, Rasouli V (2013) A modified empirical criterion for strength of transversely anisotropic rocks with metamorphic origin. Bull Eng Geol Env 72(2):257–269
Zurück zum Zitat Saeidi O, Rasouli V, Vaneghi RG (2014) A modified failure criterion for transversely isotropic rocks. Geosci Front 5:215–225 Saeidi O, Rasouli V, Vaneghi RG (2014) A modified failure criterion for transversely isotropic rocks. Geosci Front 5:215–225
Zurück zum Zitat Sapari NK, Zabidi H (2019) Determination of strength variation in jointed anisotropic rocks behavior using UCS and Brazilian tensile test. Mater Today Proc 17:905–911 Sapari NK, Zabidi H (2019) Determination of strength variation in jointed anisotropic rocks behavior using UCS and Brazilian tensile test. Mater Today Proc 17:905–911
Zurück zum Zitat Shen PW, Tang HM, Zhang B (2021) Investigation on the fracture and mechanical behaviors of simulated transversely isotropic rock made of two interbedded materials. Eng Geol 286:106058 Shen PW, Tang HM, Zhang B (2021) Investigation on the fracture and mechanical behaviors of simulated transversely isotropic rock made of two interbedded materials. Eng Geol 286:106058
Zurück zum Zitat Shi XC, Yang X, Meng YF (2016) An anisotropic strength model for layered rocks considering planes of weakness. Rock Mech Rock Eng 49(9):3783–3792 Shi XC, Yang X, Meng YF (2016) An anisotropic strength model for layered rocks considering planes of weakness. Rock Mech Rock Eng 49(9):3783–3792
Zurück zum Zitat Singh M, Samadhiya NK, Kumar A (2015) A nonlinear criterion for triaxial strength of inherently anisotropic rocks. Rock Mech Rock Eng 48(4):1387–1405 Singh M, Samadhiya NK, Kumar A (2015) A nonlinear criterion for triaxial strength of inherently anisotropic rocks. Rock Mech Rock Eng 48(4):1387–1405
Zurück zum Zitat Sun BW, Yang SQ, Xu J (2022) Discrete element simulation on failure mechanical behavior of transversely isotropic shale under two kinds of unloading paths. Theoret Appl Fract Mech 121:103466 Sun BW, Yang SQ, Xu J (2022) Discrete element simulation on failure mechanical behavior of transversely isotropic shale under two kinds of unloading paths. Theoret Appl Fract Mech 121:103466
Zurück zum Zitat Tien YM, Tsao PF (2000) Preparation and mechanical properties of artificial transversely isotropic rock. Int J Rock Mech Min Sci 37:1001–1012 Tien YM, Tsao PF (2000) Preparation and mechanical properties of artificial transversely isotropic rock. Int J Rock Mech Min Sci 37:1001–1012
Zurück zum Zitat Tsai SW, Wu E (1971) A general theory of strength of anisotropic materials. J Compos Mater 5:58 Tsai SW, Wu E (1971) A general theory of strength of anisotropic materials. J Compos Mater 5:58
Zurück zum Zitat Valente S, Fidelibus C, Loew S (2012) Analysis of fracture mechanics tests on opalinus clay. Rock Mech Rock Eng 45(5):767–779 Valente S, Fidelibus C, Loew S (2012) Analysis of fracture mechanics tests on opalinus clay. Rock Mech Rock Eng 45(5):767–779
Zurück zum Zitat Vervoort A, Min KB, Konietzky H (2014) Failure of transversely isotropic rock under Brazilian test conditions. Int J Rock Mech Min Sci 70:343–352 Vervoort A, Min KB, Konietzky H (2014) Failure of transversely isotropic rock under Brazilian test conditions. Int J Rock Mech Min Sci 70:343–352
Zurück zum Zitat Wang J, Xie LZ, Xie HP (2016) Effect of layer orientation on acoustic emission characteristics of anisotropic shale in Brazilian tests. J Nat Gas Sci Eng 36:1120–1129 Wang J, Xie LZ, Xie HP (2016) Effect of layer orientation on acoustic emission characteristics of anisotropic shale in Brazilian tests. J Nat Gas Sci Eng 36:1120–1129
Zurück zum Zitat Wang ZH, Wang M, Zhou L (2022) Research on uniaxial compression strength and failure properties of stratified rock mass. Theoret Appl Fract Mech 121:103499 Wang ZH, Wang M, Zhou L (2022) Research on uniaxial compression strength and failure properties of stratified rock mass. Theoret Appl Fract Mech 121:103499
Zurück zum Zitat Yang SQ, Yin PF, Huang YH (2019a) Experiment and discrete element modeling on strength, deformation and failure behavior of shale under brazilian compression. Rock Mech Rock Eng 52(11):4339–4359 Yang SQ, Yin PF, Huang YH (2019a) Experiment and discrete element modeling on strength, deformation and failure behavior of shale under brazilian compression. Rock Mech Rock Eng 52(11):4339–4359
Zurück zum Zitat Yang SQ, Yin PF, Huang YH (2019b) Strength, deformability and X-ray micro-CT observations of transversely isotropic composite rock under different confining pressures. Eng Fract Mech 214:1–20 Yang SQ, Yin PF, Huang YH (2019b) Strength, deformability and X-ray micro-CT observations of transversely isotropic composite rock under different confining pressures. Eng Fract Mech 214:1–20
Zurück zum Zitat Yang SQ, Yin PF, Li B (2020) Behavior of transversely isotropic shale observed in triaxial tests and Brazilian disc tests. Int J Rock Mech Min Sci 133:104435 Yang SQ, Yin PF, Li B (2020) Behavior of transversely isotropic shale observed in triaxial tests and Brazilian disc tests. Int J Rock Mech Min Sci 133:104435
Zurück zum Zitat Yin PF, Yang SQ (2018) Experimental investigation of the strength and failure behavior of layered sandstone under uniaxial compression and Brazilian testing. Acta Geophys 66(4):585–605 Yin PF, Yang SQ (2018) Experimental investigation of the strength and failure behavior of layered sandstone under uniaxial compression and Brazilian testing. Acta Geophys 66(4):585–605
Zurück zum Zitat Zhang JC (2013) Borehole stability analysis accounting for anisotropies in drilling to weak bedding planes. Int J Rock Mech Min Sci 60:160–170 Zhang JC (2013) Borehole stability analysis accounting for anisotropies in drilling to weak bedding planes. Int J Rock Mech Min Sci 60:160–170
Zurück zum Zitat Zhang YL, Shao JF, Saxcé GD (2019) Study of deformation and failure in an anisotropic rock with a three-dimensional discrete element model. Int J Rock Mech Min Sci 120:17–28 Zhang YL, Shao JF, Saxcé GD (2019) Study of deformation and failure in an anisotropic rock with a three-dimensional discrete element model. Int J Rock Mech Min Sci 120:17–28
Metadaten
Titel
Mechanical Behavior and Fracture Evolution Mechanism of Composite Rock Under Triaxial Compression: Insights from Three-Dimensional DEM Modeling
verfasst von
Yu Song
Sheng-Qi Yang
Ke-Sheng Li
Peng-Fei Yin
Peng-Zhi Pan
Publikationsdatum
21.07.2023
Verlag
Springer Vienna
Erschienen in
Rock Mechanics and Rock Engineering / Ausgabe 10/2023
Print ISSN: 0723-2632
Elektronische ISSN: 1434-453X
DOI
https://doi.org/10.1007/s00603-023-03443-8

Weitere Artikel der Ausgabe 10/2023

Rock Mechanics and Rock Engineering 10/2023 Zur Ausgabe