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Yıl 2023, Cilt: 62 Sayı: 4, 183 - 190, 12.02.2024
https://doi.org/10.30797/madencilik.1408587

Öz

Kaynakça

  • Antonyuk, S., Khanal, M., Tomas, J., Heinrich, S., Mörl, L. 2006. Impact breakage of spherical granules: experimental study and DEM simulation. Chemical Engineering and Processing: Process Intensification. 45(10), 838-856.
  • Åström, J.A., Herrmann, H.J. 1998. Fragmentation of grains in a two-dimensional packing. The European Physical Journal B-Condensed Matter and Complex Systems. 5(3), 551-554.
  • Barrios, G.K.P., Pérez-Prim, J., Tavares, L.M. 2015. DEM simulation of bed particle compression using the particle replacement model. In Proceedings 14th European Symposium on Comminution and Classification.
  • Barrios, G.K., Tavares, L. M. 2016. A preliminary model of high pressure roll grinding using the discrete element method and multi-body dynamics coupling. International Journal of Mineral Processing. 156, 32-42.
  • Barrios, G.K., Jiménez-Herrera, N., Tavares, L.M. 2020. Simulation of particle bed breakage by slow compression and impact using a DEM particle replacement model. Advanced Powder Technology. 31(7), 2749-2758.
  • Bian, X., Wang, G., Wang, H., Wang, S., Lv, W. 2017. Effect of lifters and mill speed on particle behaviour, torque, and power consumption of a tumbling ball mill: Experimental study and DEM simulation. Minerals Engineering. 105, 22-35.
  • Chen, F., Ma, H., Liu, Z., Zhou, L., Zhao, Y. (2024). An improved breakage model with a fast-cutting method for simulating the breakage of polyhedral particles. Powder Technology, 432, 119125.
  • Cleary, P.W. 1998. Predicting charge motion, power draw, segregation and wear in ball mills using discrete element methods. Minerals Engineering. 11(11), 1061-1080.
  • Cleary, P.W 2001a. Modelling comminution devices using DEM. International Journal for Numerical and Analytical Methods in Geomechanics. 25(1), 83-105.
  • Cleary, P.W. 2001b. Recent advances in DEM modelling of tumbling mills. Minerals Engineering. 14(10), 1295-1319.
  • Cleary, P.W., Morrisson, R., Morrell, S. 2003. Comparison of DEM and experiment for a scale model SAG mill. International Journal of Mineral Processing. 68(1-4), 129-165.
  • Cleary, P.W. 2015. Prediction of coupled particle and fluid flows using DEM and SPH. Minerals Engineering. 73, 85-99.
  • Cleary, P.W., Sinnott, M.D. 2015. Simulation of particle flows and breakage in crushers using DEM: Part 1–Compression crushers. Minerals Engineering. 74, 178-197.
  • Cundall, P.A., O.D.L. Strack, 1979. A discrete numerical model for granular assemblies. Geotechnique. 29(1), 47-65.
  • Datta, A., Rajamani, R.K. 2002. A direct approach of modeling batch grinding in ball mills using population balance principles and impact energy distribution. International Journal of Mineral Processing. 64(4), 181-200.
  • de Arruda Tino, A.A., Tavares, L.M. 2022. Simulating breakage tests using the discrete element method with polyhedral particles. Computational Particle Mechanics. 1-13.
  • Delaney, G.W., Morrison, R.D., Sinnott, M.D., Cummins, S., Cleary, P.W. 2015. DEM modelling of non-spherical particle breakage and flow in an industrial scale cone crusher. Minerals Engineering. 74, 112-122.
  • EDEM DEM Solutions. 2023. EDEM Programming Guide. Djordjevic, N. 2005. Influence of charge size distribution on net-power draw of tumbling mill based on DEM modelling. Minerals Engineering. 18(3), 375-378.
  • Herbst, J.A., Nordell, L. 2001. Optimization of the design of sag mill internals using high fidelity simulation. In Proceedings of the SAG Conference 4, 50-164. University of British Columbia: British Columbia.
  • Herbst, J.A., Potapov, A.V. 2004. Making a discrete grain breakage model practical for comminution equipment performance simulation. Powder Technology. 143, 144-150.
  • Hertz, H. 1882. On the contact of elastic solids. Journal fur die Reine und Angewandte Mathematik. 92, 156-171.
  • Jayasundara, C.T., Yang, R.Y., Yu, A.B. 2012. Effect of the size of media on grinding performance in stirred mills. Minerals Engineering. 33, 66-71.
  • Jeswiet, J., Szekeres, A. 2016. Energy Consumption in Mining Comminution. Procedia CIRP. 48, 140-145.
  • Jiménez-Herrera, N., Barrios, G.K., Tavares, L.M. 2018. Comparison of breakage models in DEM in simulating impact on particle beds. Advanced Powder Technology. 29(3), 692-706.
  • Lichter, J., Lim, K., Potapov, A., Kaja, D. 2009. New developments in cone crusher performance optimization. Minerals Engineering. 22(7-8), 613-617.
  • Liu, C., Chen, Z., Zhang, W., Mao, Y., Xu, P., Xie, Q. 2022. Analysis of vertical roller mill performance with changes in material properties and operating conditions using DEM. Minerals Engineering. 182, 107573.
  • Metzger, M.J., Glasser, B.J. 2012. Numerical investigation of the breakage of bonded agglomerates during impact. Powder Technology. 217, 304- 314.
  • Metzger, M.J., Glasser, B.J. 2013. Simulation of the breakage of bonded agglomerates in a ball mill. Powder Technology. 237, 286-302.
  • Mindlin, R.D. 1949. Compliance Of Elastic Bodies In Contact. Journal of Applied Mechanics. 16, 259-268.
  • Mishra, B.K., Rajamani, R.K. 1992. The discrete element method for the simulation of ball mills. Applied Mathematical Modelling. 16(11), 598- 604.
  • Mishra, B.K., Rajamani, R.K. 1994. Simulation of charge motion in ball mills. Part 1: experimental verifications. International Journal of Mineral Processing. 40(3-4), 171-186.
  • Morrison, R.D., Cleary, P.W., Sinnott, M.D. 2009. Using DEM to compare the energy efficiency of pilot scale ball and tower mills. Minerals Engineering. 22(7-8), 665-672.
  • Napier-Munn, T.J., Morrell, S., Morrison, R.D., Kojovic, T. 1996. Mineral comminution circuits: their operation and optimisation. Julius Kruttschnitt Mineral Research Centre, University of Queensland, Brisbane.
  • Paluszny, A., Tang, X., Nejati, M., Zimmerman, R.W. 2016. A direct fragmentation method with Weibull function distribution of sizes based on finite-and discrete element simulations. International Journal of Solids and Structures. 80, 38-51.
  • Potapov, A.V., Campbell, C.S. 1996. A three-dimensional simulation of brittle solid fracture. International Journal of Modern Physics C. 7(05), 717-729.
  • Potapov, A.V., Campbell, C.S. 2000. The breakage induced by a single grinding ball dropped onto a randomly packed particle bed. Powder Technology. 107(1-2), 108-117.
  • Potyondy, D.O., Cundall, P.A. 2004. A bonded-particle model for rock. International Journal of Rock Mechanics and Mining Sciences. 41(8), 1329- 1364.
  • Powell, M.S., Weerasekara, N.S., Cole, S., LaRoche, R.D., Favier, J. 2011. DEM modelling of liner evolution and its influence on grinding rate in ball mills. Minerals Engineering. 24(3-4), 341-351.
  • Quist, J., Evertsson, C. M., Franke, J. 2011. The effect of liner wear on gyratory crushing–a DEM case study. Computational Modeling, 11. Quist, J., Evertsson, C.M. 2016. Cone crusher modelling and simulation using DEM. Minerals Engineering. 85, 92-105.
  • Rajamani, R. K., Mishra, B. K. (1996). Dynamics of ball and rock charge in sag mills. In Proc. SAG (Vol. 19).
  • Refahi, A., Mohandesi, J. A., Rezai, B. (2010). Discrete element modeling for predicting breakage behavior and fracture energy of a single particle in a jaw crusher. International Journal of Mineral Processing, 94(1-2), 83-91.
  • Rumpf, H. 1973. Physical aspects of comminution and new formulation of a law of comminution. Powder Technology. 7(3), 145-159.
  • Rodriguez, V.A., Barrios, G.K., Bueno, G., Tavares, L.M. 2021. Investigation of lateral confinement, roller aspect ratio and wear condition on HPGR performance using DEM-MBD-PRM simulations. Minerals. 11(8), 801.
  • Tavares, L.M., King, R.P. 1998. Single-particle fracture under impact loading. International Journal of Mineral Processing. 54(1), 1-28.
  • Tavares, L.M., King, R.P. 2002. Modeling of particle fracture by repeated impacts using continuum damage mechanics. Powder Technology. 123(2-3), 138-146.
  • Tavares, L.M. 2009. Analysis of particle fracture by repeated stressing as damage accumulation. Powder Technology. 190(3), 327-339.
  • Tavares, L.M., André, F.P., Potapov, A., Maliska Jr,C. 2020. Adapting a breakage model to discrete elements using polyhedral particles. Powder Technology. 362, 208-220.
  • Tavares, L.M., das Chagas, A.S. 2021. A stochastic particle replacement strategy for simulating breakage in DEM. Powder Technology. 377, 222-232.
  • Tavares, L.M., Rodriguez, V.A., Sousani, M., Padros, C.B., Ooi, J.Y. 2021. An effective sphere-based model for breakage simulation in DEM. Powder Technology. 392, 473-488.
  • Tavares, L.M. 2022. Review and further validation of a practical single-particle breakage model. KONA Powder and Particle Journal. 39, 62-83.
  • Vogel, L., Peukert, W. 2005. From single particle impact behaviour to modelling of impact mills. Chemical Engineering Science. 60(18), 5164- 5176.
  • Wang, M.H., Yang, R.Y., Yu, A.B. 2012. DEM investigation of energy distribution and particle breakage in tumbling ball mills. Powder Technology. 223, 83-91.
  • Weerasekara, N.S., Powell, M.S., Cleary, P.W., Tavares, L.M., Evertsson, M., Morrison, R.D., Ouist, J., Carvalho, R.M. 2013. The contribution of DEM to the science of comminution. Powder technology. 248, 3-24.
  • Weibull, W. 1951. A statistical distribution function of wide applicability. Journal of Applied Mechanics.

Applications of DEM particle breakage models in mineral industrial

Yıl 2023, Cilt: 62 Sayı: 4, 183 - 190, 12.02.2024
https://doi.org/10.30797/madencilik.1408587

Öz

Modeling processes are carried out in the mineral industry as well as in many areas depending on the development of computer technologies and software. Discrete Element Method (DEM) is used in modeling studies to explain the interaction of particles with other particles and communication equipment. The DEM provides the capability to simulate the movement of the granular media in a series of computational processes of each individual particle that consists of the granular media. It is becoming increasingly widely used to predict energy consumption, wear, particle breakage and particle size distribution in crushing and grinding processes that can be described in terms of granular materials using DEM. The selection of particle breakage models used by commercial software for modeling DEM particle breakage is important. In this study, it is summarized the studies have been carried out to understand the performance of particle breakage methods, which are Bonded Particle Model (BPM), Fast Breakage Model (FBM) and Particle Replacement Model (PRM), in the modeling of comminution equipment. In addition, the relationship between particle and breakage energies and theory of applied forces are described in detail for three breakage models existing in commercial DEM simulators.

Kaynakça

  • Antonyuk, S., Khanal, M., Tomas, J., Heinrich, S., Mörl, L. 2006. Impact breakage of spherical granules: experimental study and DEM simulation. Chemical Engineering and Processing: Process Intensification. 45(10), 838-856.
  • Åström, J.A., Herrmann, H.J. 1998. Fragmentation of grains in a two-dimensional packing. The European Physical Journal B-Condensed Matter and Complex Systems. 5(3), 551-554.
  • Barrios, G.K.P., Pérez-Prim, J., Tavares, L.M. 2015. DEM simulation of bed particle compression using the particle replacement model. In Proceedings 14th European Symposium on Comminution and Classification.
  • Barrios, G.K., Tavares, L. M. 2016. A preliminary model of high pressure roll grinding using the discrete element method and multi-body dynamics coupling. International Journal of Mineral Processing. 156, 32-42.
  • Barrios, G.K., Jiménez-Herrera, N., Tavares, L.M. 2020. Simulation of particle bed breakage by slow compression and impact using a DEM particle replacement model. Advanced Powder Technology. 31(7), 2749-2758.
  • Bian, X., Wang, G., Wang, H., Wang, S., Lv, W. 2017. Effect of lifters and mill speed on particle behaviour, torque, and power consumption of a tumbling ball mill: Experimental study and DEM simulation. Minerals Engineering. 105, 22-35.
  • Chen, F., Ma, H., Liu, Z., Zhou, L., Zhao, Y. (2024). An improved breakage model with a fast-cutting method for simulating the breakage of polyhedral particles. Powder Technology, 432, 119125.
  • Cleary, P.W. 1998. Predicting charge motion, power draw, segregation and wear in ball mills using discrete element methods. Minerals Engineering. 11(11), 1061-1080.
  • Cleary, P.W 2001a. Modelling comminution devices using DEM. International Journal for Numerical and Analytical Methods in Geomechanics. 25(1), 83-105.
  • Cleary, P.W. 2001b. Recent advances in DEM modelling of tumbling mills. Minerals Engineering. 14(10), 1295-1319.
  • Cleary, P.W., Morrisson, R., Morrell, S. 2003. Comparison of DEM and experiment for a scale model SAG mill. International Journal of Mineral Processing. 68(1-4), 129-165.
  • Cleary, P.W. 2015. Prediction of coupled particle and fluid flows using DEM and SPH. Minerals Engineering. 73, 85-99.
  • Cleary, P.W., Sinnott, M.D. 2015. Simulation of particle flows and breakage in crushers using DEM: Part 1–Compression crushers. Minerals Engineering. 74, 178-197.
  • Cundall, P.A., O.D.L. Strack, 1979. A discrete numerical model for granular assemblies. Geotechnique. 29(1), 47-65.
  • Datta, A., Rajamani, R.K. 2002. A direct approach of modeling batch grinding in ball mills using population balance principles and impact energy distribution. International Journal of Mineral Processing. 64(4), 181-200.
  • de Arruda Tino, A.A., Tavares, L.M. 2022. Simulating breakage tests using the discrete element method with polyhedral particles. Computational Particle Mechanics. 1-13.
  • Delaney, G.W., Morrison, R.D., Sinnott, M.D., Cummins, S., Cleary, P.W. 2015. DEM modelling of non-spherical particle breakage and flow in an industrial scale cone crusher. Minerals Engineering. 74, 112-122.
  • EDEM DEM Solutions. 2023. EDEM Programming Guide. Djordjevic, N. 2005. Influence of charge size distribution on net-power draw of tumbling mill based on DEM modelling. Minerals Engineering. 18(3), 375-378.
  • Herbst, J.A., Nordell, L. 2001. Optimization of the design of sag mill internals using high fidelity simulation. In Proceedings of the SAG Conference 4, 50-164. University of British Columbia: British Columbia.
  • Herbst, J.A., Potapov, A.V. 2004. Making a discrete grain breakage model practical for comminution equipment performance simulation. Powder Technology. 143, 144-150.
  • Hertz, H. 1882. On the contact of elastic solids. Journal fur die Reine und Angewandte Mathematik. 92, 156-171.
  • Jayasundara, C.T., Yang, R.Y., Yu, A.B. 2012. Effect of the size of media on grinding performance in stirred mills. Minerals Engineering. 33, 66-71.
  • Jeswiet, J., Szekeres, A. 2016. Energy Consumption in Mining Comminution. Procedia CIRP. 48, 140-145.
  • Jiménez-Herrera, N., Barrios, G.K., Tavares, L.M. 2018. Comparison of breakage models in DEM in simulating impact on particle beds. Advanced Powder Technology. 29(3), 692-706.
  • Lichter, J., Lim, K., Potapov, A., Kaja, D. 2009. New developments in cone crusher performance optimization. Minerals Engineering. 22(7-8), 613-617.
  • Liu, C., Chen, Z., Zhang, W., Mao, Y., Xu, P., Xie, Q. 2022. Analysis of vertical roller mill performance with changes in material properties and operating conditions using DEM. Minerals Engineering. 182, 107573.
  • Metzger, M.J., Glasser, B.J. 2012. Numerical investigation of the breakage of bonded agglomerates during impact. Powder Technology. 217, 304- 314.
  • Metzger, M.J., Glasser, B.J. 2013. Simulation of the breakage of bonded agglomerates in a ball mill. Powder Technology. 237, 286-302.
  • Mindlin, R.D. 1949. Compliance Of Elastic Bodies In Contact. Journal of Applied Mechanics. 16, 259-268.
  • Mishra, B.K., Rajamani, R.K. 1992. The discrete element method for the simulation of ball mills. Applied Mathematical Modelling. 16(11), 598- 604.
  • Mishra, B.K., Rajamani, R.K. 1994. Simulation of charge motion in ball mills. Part 1: experimental verifications. International Journal of Mineral Processing. 40(3-4), 171-186.
  • Morrison, R.D., Cleary, P.W., Sinnott, M.D. 2009. Using DEM to compare the energy efficiency of pilot scale ball and tower mills. Minerals Engineering. 22(7-8), 665-672.
  • Napier-Munn, T.J., Morrell, S., Morrison, R.D., Kojovic, T. 1996. Mineral comminution circuits: their operation and optimisation. Julius Kruttschnitt Mineral Research Centre, University of Queensland, Brisbane.
  • Paluszny, A., Tang, X., Nejati, M., Zimmerman, R.W. 2016. A direct fragmentation method with Weibull function distribution of sizes based on finite-and discrete element simulations. International Journal of Solids and Structures. 80, 38-51.
  • Potapov, A.V., Campbell, C.S. 1996. A three-dimensional simulation of brittle solid fracture. International Journal of Modern Physics C. 7(05), 717-729.
  • Potapov, A.V., Campbell, C.S. 2000. The breakage induced by a single grinding ball dropped onto a randomly packed particle bed. Powder Technology. 107(1-2), 108-117.
  • Potyondy, D.O., Cundall, P.A. 2004. A bonded-particle model for rock. International Journal of Rock Mechanics and Mining Sciences. 41(8), 1329- 1364.
  • Powell, M.S., Weerasekara, N.S., Cole, S., LaRoche, R.D., Favier, J. 2011. DEM modelling of liner evolution and its influence on grinding rate in ball mills. Minerals Engineering. 24(3-4), 341-351.
  • Quist, J., Evertsson, C. M., Franke, J. 2011. The effect of liner wear on gyratory crushing–a DEM case study. Computational Modeling, 11. Quist, J., Evertsson, C.M. 2016. Cone crusher modelling and simulation using DEM. Minerals Engineering. 85, 92-105.
  • Rajamani, R. K., Mishra, B. K. (1996). Dynamics of ball and rock charge in sag mills. In Proc. SAG (Vol. 19).
  • Refahi, A., Mohandesi, J. A., Rezai, B. (2010). Discrete element modeling for predicting breakage behavior and fracture energy of a single particle in a jaw crusher. International Journal of Mineral Processing, 94(1-2), 83-91.
  • Rumpf, H. 1973. Physical aspects of comminution and new formulation of a law of comminution. Powder Technology. 7(3), 145-159.
  • Rodriguez, V.A., Barrios, G.K., Bueno, G., Tavares, L.M. 2021. Investigation of lateral confinement, roller aspect ratio and wear condition on HPGR performance using DEM-MBD-PRM simulations. Minerals. 11(8), 801.
  • Tavares, L.M., King, R.P. 1998. Single-particle fracture under impact loading. International Journal of Mineral Processing. 54(1), 1-28.
  • Tavares, L.M., King, R.P. 2002. Modeling of particle fracture by repeated impacts using continuum damage mechanics. Powder Technology. 123(2-3), 138-146.
  • Tavares, L.M. 2009. Analysis of particle fracture by repeated stressing as damage accumulation. Powder Technology. 190(3), 327-339.
  • Tavares, L.M., André, F.P., Potapov, A., Maliska Jr,C. 2020. Adapting a breakage model to discrete elements using polyhedral particles. Powder Technology. 362, 208-220.
  • Tavares, L.M., das Chagas, A.S. 2021. A stochastic particle replacement strategy for simulating breakage in DEM. Powder Technology. 377, 222-232.
  • Tavares, L.M., Rodriguez, V.A., Sousani, M., Padros, C.B., Ooi, J.Y. 2021. An effective sphere-based model for breakage simulation in DEM. Powder Technology. 392, 473-488.
  • Tavares, L.M. 2022. Review and further validation of a practical single-particle breakage model. KONA Powder and Particle Journal. 39, 62-83.
  • Vogel, L., Peukert, W. 2005. From single particle impact behaviour to modelling of impact mills. Chemical Engineering Science. 60(18), 5164- 5176.
  • Wang, M.H., Yang, R.Y., Yu, A.B. 2012. DEM investigation of energy distribution and particle breakage in tumbling ball mills. Powder Technology. 223, 83-91.
  • Weerasekara, N.S., Powell, M.S., Cleary, P.W., Tavares, L.M., Evertsson, M., Morrison, R.D., Ouist, J., Carvalho, R.M. 2013. The contribution of DEM to the science of comminution. Powder technology. 248, 3-24.
  • Weibull, W. 1951. A statistical distribution function of wide applicability. Journal of Applied Mechanics.
Toplam 54 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Maden Mühendisliği (Diğer)
Bölüm Derleme
Yazarlar

Sevgi Karaca 0000-0001-7478-2437

Ali Uçar 0000-0002-5220-8829

Yayımlanma Tarihi 12 Şubat 2024
Gönderilme Tarihi 22 Aralık 2023
Kabul Tarihi 10 Şubat 2024
Yayımlandığı Sayı Yıl 2023 Cilt: 62 Sayı: 4

Kaynak Göster

APA Karaca, S., & Uçar, A. (2024). Applications of DEM particle breakage models in mineral industrial. Bilimsel Madencilik Dergisi, 62(4), 183-190. https://doi.org/10.30797/madencilik.1408587
AMA Karaca S, Uçar A. Applications of DEM particle breakage models in mineral industrial. Madencilik. Şubat 2024;62(4):183-190. doi:10.30797/madencilik.1408587
Chicago Karaca, Sevgi, ve Ali Uçar. “Applications of DEM Particle Breakage Models in Mineral Industrial”. Bilimsel Madencilik Dergisi 62, sy. 4 (Şubat 2024): 183-90. https://doi.org/10.30797/madencilik.1408587.
EndNote Karaca S, Uçar A (01 Şubat 2024) Applications of DEM particle breakage models in mineral industrial. Bilimsel Madencilik Dergisi 62 4 183–190.
IEEE S. Karaca ve A. Uçar, “Applications of DEM particle breakage models in mineral industrial”, Madencilik, c. 62, sy. 4, ss. 183–190, 2024, doi: 10.30797/madencilik.1408587.
ISNAD Karaca, Sevgi - Uçar, Ali. “Applications of DEM Particle Breakage Models in Mineral Industrial”. Bilimsel Madencilik Dergisi 62/4 (Şubat 2024), 183-190. https://doi.org/10.30797/madencilik.1408587.
JAMA Karaca S, Uçar A. Applications of DEM particle breakage models in mineral industrial. Madencilik. 2024;62:183–190.
MLA Karaca, Sevgi ve Ali Uçar. “Applications of DEM Particle Breakage Models in Mineral Industrial”. Bilimsel Madencilik Dergisi, c. 62, sy. 4, 2024, ss. 183-90, doi:10.30797/madencilik.1408587.
Vancouver Karaca S, Uçar A. Applications of DEM particle breakage models in mineral industrial. Madencilik. 2024;62(4):183-90.

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