Skip to main content
Log in

Studying the influence of heterogeneity on particle breakage using distinct lattice spring model

  • Original Paper
  • Published:
Arabian Journal of Geosciences Aims and scope Submit manuscript

Abstract

A numerical investigation has been carried out to evaluate the effect of heterogeneity on particle breakage of brittle rocks under various loading conditions. This is achieved by applying distinct lattice spring model (DLSM) to simulate particle breakage process under four typical loading conditions: namely point-to-point loading, three-point bending, plane-to-plane loading and point-to-plane loading. Irregularly shaped samples with two types of heterogeneity (strength and material heterogeneities) are investigated. In most laboratory tests, the main features of macro-fracture patterns within heterogeneous materials vary from specimen to specimen due to the differences of local heterogeneity. Thus, the variation of local heterogeneity in irregularly shaped specimens has been studied. Numerical simulation demonstrates that the main characteristics of particle breakage have been controlled by loading conditions, types of heterogeneity and local heterogeneity.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  • Aman S, Tomas J, Kalman H (2010) Breakage probability of irregularly shaped particles. Chem Eng Sci 65:1503–1512

    Article  Google Scholar 

  • Bagherzadeh Kh A, Mirghasemi AA, Mohammadi S (2011) Numerical simulation of particle breakage of angular particles using combined DEM and FEM. Powder Technol 205:15–29

    Article  Google Scholar 

  • Briggs CA, Bearman RA (1996) An investigation of rock breakage and damage in comminution equipment. Miner Eng 9:489–497

    Article  Google Scholar 

  • Hu G, Otaki H, Lin M (2001) An index of the tensile strength of brittle particles. Miner Eng 14:1199–1211

    Article  Google Scholar 

  • Kozicki J, Donzé FV (2008) A new open-source software developed for numerical simulations using discrete modeling methods. Comput Methods Appl Mech Eng 197:4429–4443

    Article  Google Scholar 

  • Kozicki J, Donzé FV (2009) YADE-OPEN DEM: an open-source software using a discrete element method to simulate granular material. Eng Comput 26:786–805

    Article  Google Scholar 

  • Lisjak A, Grasselli G (2014) A review of discrete modeling techniques for fracturing processes in discontinuous rock masses. J Rock Mech Geotech Eng (In press).

  • Liu HY, Kou SQ, Lindqvist PA (2005) Numerical studies on the inter-particle breakage of a confined particle assembly in rock crushing. Mech Mater 37:935–954

    Article  Google Scholar 

  • Metzger MJ, Glasser BJ (2012) Numerical investigation of the breakage of bonded agglomerates during impact. Powder Technol 217:304–314

    Article  Google Scholar 

  • Potapov AV, Campbell CS (1994) Computer simulation of impact-induced particle breakage. Powder Technol 81:207–216

    Article  Google Scholar 

  • Potapov AV, Campbell CS (2001) Parametric dependence of particle breakage mechanisms. Powder Technol 120:164–174

    Article  Google Scholar 

  • Potyondy DO, Cundall PA (2004) A bonded-particle model for rock. Int J Rock Mech Min Sci 41:1329–1364

    Article  Google Scholar 

  • Tang C (1997) Numerical simulation of progressive rock failure and associated seismicity. Int J Rock Mech Min Sci 34:249–261

    Article  Google Scholar 

  • Tang CA, Liu H, Lee PKK, Tsui Y, Tham LG (2000) Numerical studies of the influence of microstructure on rock failure in uniaxial compression—part I: effect of heterogeneity. Int J Rock Mech Min Sci 37:555–569

    Article  Google Scholar 

  • Tang CA, Xu XH, Kou SQ, Lindqvist PA, Liu HY (2001) Numerical investigation of particle breakage as applied to mechanical crushing—part I: single-particle breakage. Int J Rock Mech Min Sci 38:1147–1162

    Article  Google Scholar 

  • Tang CA, Liu HY, Zhu WC, Yang TH, Li WH, Song L, Lin P (2004) Numerical approach to particle breakage under different loading conditions. Powder Technol 143–144:130–143

    Article  Google Scholar 

  • Tavares LM, King RP (1998) Single-particle fracture under impact loading. Int J Miner Process 54:1–28

    Article  Google Scholar 

  • Tsoungui O, Vallet D, Charmet J-C (1999) Numerical model of crushing of grains inside two-dimensional granular materials. Powder Technol 105:190–198

    Article  Google Scholar 

  • Wang Y, Forssberg E, Klymowsky R (1998) Fine comminution of limestone by roller press-stirred ball milling. Aufbereitungstechnik 39:267–278

    Google Scholar 

  • Wang Y, Forssberg E, Lin P (2005) Hybrid comminution with high-pressure roller and stirred bead milling. Part Part Syst Charact 22:336–344

    Article  Google Scholar 

  • Wang G, Radziszewski P, Ouellet J (2008) Particle modeling simulation of thermal effects on ore breakage. Comput Mater Sci 43:892–901

    Article  Google Scholar 

  • Ye J, Wu FQ, Sun JZ (2009) Estimation of the tensile elastic modulus using Brazilian disc by applying diametrically opposed concentrated loads. Int J Rock Mech Min Sci 46:568–576

    Article  Google Scholar 

  • Zhao GF, Zhao J (2012) Discontinuum based micromechanics methods. Paper presented at the analysis of discontinuous deformation proc. ICADD10

  • Zhao G-F, Fang J, Zhao J (2011) A 3D distinct lattice spring model for elasticity and dynamic failure. Int J Numer Anal Methods Geomech 35:859–885

    Article  Google Scholar 

  • Zhao G-F, Fang J, Sun L, Zhao J (2013) Parallelization of the distinct lattice spring model. Int J Numer Anal Methods Geomech 37:51–74

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jianjun Ma.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ma, J., Zhao, G. Studying the influence of heterogeneity on particle breakage using distinct lattice spring model. Arab J Geosci 8, 6595–6621 (2015). https://doi.org/10.1007/s12517-014-1709-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12517-014-1709-z

Keywords

Navigation