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Studies on the formation of discontinuous chips during rock cutting using an explicit finite element model

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Abstract

Predicting the fragmentation process during rock cutting poses significant technical challenges. In this respect, previous research related to rock cutting using various numerical methods was reviewed in detail. A method for simulating the fragmentation process during the mechanical cutting of rock was then introduced using the explicit finite element code LS-DYNA. In the numerical simulations, the base rock material properties were defined using a damage constitutive model. This model simulates the separation of rock chips from the base rock material and the subsequent breakage of the chips into multiple fragments. In the simulations, a rigid steel cutting tool was translated at various sliding velocities (1, 4, 10, 50, and 100 mm/s) against a stationary rock material. For a given sliding velocity, simulations were conducted for various cutting depths (1, 2, 3, and 4 mm). The variation of stresses and the amount of chip formation at different depths of cut and velocities were analyzed. The simulations indicated that the cutting forces and chip morphology were significantly influenced by sliding velocities and cutting depths. Overall, the results indicate that the explicit finite element method was a powerful tool for simulating rock cutting and the chip fragmentation processes, as it was able to predict chip separation behavior from the base rock at different depths of cut accurately.

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References

  1. Tan XC, Kou SQ, Lindqvist P-A (1998) Application of the DDM and fracture mechanics model on the simulation of rock breakage by mechanical tools. Engineering Geology 49:277–284

    Article  Google Scholar 

  2. Chen C-S, Pan E, Amadei B (1998) Fracture mechanics analysis of cracked discs of anisotropic rock using the boundary element method. Int J Rock Mech Min Sci 35(2):195–218

    Article  Google Scholar 

  3. Lei S, Kaitkay P, Shen X (2004) Simulation of rock cutting using distinct element method-PFC2D. In: Shimizu Y, Hart R, Cundall P. (eds) Numerical Modeling in Micromechanics via Particle Methods, 1(4): 63–72.

  4. Rojek J (2007) Discrete element modeling of rock cutting. Computer Methods in Materials Science 7(2):224–230

    Google Scholar 

  5. Huang H, Detournay E (2008) Intrinsic length scales in tool–rock interaction. Int J Geomech 8(1):39–44

    Article  Google Scholar 

  6. Tan XC, Lindqvist P-A, Kou SQ (1997) Application of a splitting fracture model to the simulation of rock indentation subsurface fractures. Int J Numer Anal Meth Geomech 21:1–13

    Article  MATH  Google Scholar 

  7. Tang C (1997) Numerical simulation of progressive failure and associated seismicity. Int J Rock Mech Min Sci 34(2):249–261

    Article  Google Scholar 

  8. Tang CA, Fu YF, Kou SQ, Lindqvist P-A (1998) Numerical simulation of loading inhomogeneous rocks. Int J Rock Mech Min Sci 35(7):1001–1007

    Article  Google Scholar 

  9. Kou SQ, Liu HY, Lindqvist P-A, Tang CA (2004) Rock fragmentation mechanisms induced by drill bit. Int J Rock Mech Min Sci 41(3):1–6

    Article  Google Scholar 

  10. Liu HY, Kou SQ, Lindqvist P-A, Tang CA (2004) Numerical simulation of shear fracture (mode II) in heterogeneous brittle rock. Int J Rock Mech Min Sci 41(3):1–6

    Google Scholar 

  11. Liu HY, Kou SQ, Lindqvist P-A, Tang CA (2002) Numerical simulation of the rock fragmentation process induced by indenters. Int J Rock Mech Min Sci 39:491–505

    Article  Google Scholar 

  12. Kou SQ, Liu HY, Lindqvist P-A, Tang CA, Xu XH (2001) Numerical investigation of particle breakage as applied to mechanical, crushing—part II: interparticle breakage. Int J Rock Mech Min Sci 38:1163–1172

    Article  Google Scholar 

  13. Tang CA, Xu XH, Kou SQ, Lindqvist P-A, 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 

  14. Kou SQ, Lindqvist P-A, Tang CA, Xu XH (1999) Numerical simulation of the cutting of inhomogeneous rocks. Int J Rock Mech Min Sci 36:711–717

    Article  Google Scholar 

  15. Zhu WC, Tang CA (2004) Micromechanical model for simulating the fracture process of rock. Rock Mech Rock Engg 37(1):25–56

    Article  Google Scholar 

  16. 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 

  17. Tang CA, Tham LG, Lee PKK, Tsui Y, Liu H (2000) Numerical studies of the influence of microstructure on rock failure in uniaxial compression—part II: constraint, slenderness and size effect. Int J Rock Mech Min Sci 37:571–583

    Article  Google Scholar 

  18. Liu HY, Kou SQ, Lindqvist P-A (2008) Numerical studies on bit-rock fragmentation mechanisms. Int J Geomech 8(1):45–67

    Article  Google Scholar 

  19. Rouabhi A, Tijani M, Moser P, Goetz D (2005) Continuum modelling of dynamic behaviour and fragmentation of quasi-brittle materials: application to rock fragmentation by blasting. Int J Numer Anal Meth Geomech 29:729–749

    Article  MATH  Google Scholar 

  20. Yu B (2004) Numerical simulation of continuous minor rock cutting process Ph.D. Thesis, West Virginia University, USA.

  21. Finzi AE, Lavagna M, Rocchitelli G (2004) A drill-soil system modelization for future mars exploration. Planetary and Space Science 52(1–3):83–89

    Article  Google Scholar 

  22. Huang H, Damjanac B, Detournay E (1998) Normal wedge indentation in rocks with lateral confinement. Rock Mech Rock Engg 31(2):81–94

    Article  Google Scholar 

  23. McKinnon SD, Barra IG (1998) Fracture initiation, growth and effect on the stress field: a numerical investigation. J Struct Geol 20(12):1673–1689

    Article  Google Scholar 

  24. Fang Z, Harrison JP (2002) Development of a local degradation approach to the modelling of brittle fracture in heterogeneous rocks. Int J Rock Mech Min Sci 39:443–457

    Article  Google Scholar 

  25. Fang Z, Harrison JP (2002) Application of a local degradation model to the analysis of brittle fracture of laboratory scale rock specimens under triaxial conditions. Int J Rock Mech Min Sci 39:459–476

    Article  Google Scholar 

  26. Innaurato N, Oggeri C, Oreste PP, Vinai R (2007) Experimental and numerical studies on rock breaking with TBM tools under high stress confinement. Rock Mech Rock Engg 40(5):429–451

    Article  Google Scholar 

  27. Stavropoulou M (2006) Modeling of small-diameter rotary drilling tests on marbles. Int J Rock Mech Min Sci 43(7):1034–1051

    Article  Google Scholar 

  28. Onate E, Rojek J (2004) Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems. Comput Meth Appl Mech Eng 193:3087–3128

    Article  MATH  Google Scholar 

  29. Krivtsov AM, Pavlovskaia EE, Wiercigroch M (2004) Impact fracture of rock materials due to percussive drilling action. In: Proc XXI International Congress of Theoretical and Applied Mechanics (XXI ICTAM), Poland, pp. 15–21.

  30. Evans I (1965) The force required for pointed attack picks. Int J Min Engg 2:63–71

    Article  Google Scholar 

  31. Nishimatsu Y (1972) The mechanics of rock cutting. Int J Rock Mech Min Sci 9:261–270

    Article  Google Scholar 

  32. Wu HA, Liu GR, Han X, Wang XX (2006) An atomistic simulation method combining molecular dynamics with finite element technique. Chaos, Solitons & Fractals 30(4):791–796

    Article  Google Scholar 

  33. Smirnova JA, Zhigilei LV, Garrison BJ (1999) A combined molecular dynamics and finite element method technique applied to laser induced pressure wave propagation. Computer Physics Communications 118(1):11–16

    Article  Google Scholar 

  34. Stavropoulos P, Chryssolouris G (2007) Molecular dynamics simulations of laser ablation: the Morse potential function approach. International Journal of Nanomanufacturing 1(6):736–750

    Google Scholar 

  35. Stavropoulos P, Salonitis K, Chryssolouris G (2008) Molecular dynamics simulations for nanomanufacturing processes: a critical review. In: 6th International Conference on Manufacturing Research (ICMR 08), Uxbridge, UK, pp. 655–664.

  36. Nedialkov NN, Imamova SE, Atanasov PA, Heusel G, Breitling D, Ruf A, Hugel H, Dausinger F, Berger P (2004) Laser ablation of iron by ultrashort laser pulses. Thin Solid Films 453–454:496–500

    Article  Google Scholar 

  37. Nedialkov NN, Imamova SE, Atanasov PA, Berger P, Dausinger F (2005) Mechanism of ultrashort laser ablation of metals: molecular dynamics simulation. Applied Surface Science 247(1–4):243–248

    Article  Google Scholar 

  38. Nedialkov NN, Atanasov PA (2005) Molecular dynamics simulation study of deep hole drilling in iron by ultrashort laser pulses. Applied Surface Science 252(13):4411–4415

    Article  Google Scholar 

  39. Afanasiev YV, Chichkov BN, Demchenko NN, Isakov VA, Zavestovskaya IN (1999) Ablation of metals by ultrashort laser pulses: theoretical modeling and computer simulation. Journal of Russian Laser Research 20(2):89–115

    Article  Google Scholar 

  40. Girifalco LA, Weizer VG (1959) Application of the Morse potential function to cubic metals. Physical Review 114(3):687–690

    Article  Google Scholar 

  41. Chend C, Xu X (2005) Mechanisms of decomposition of metal during femtosecond laser ablation. Physical Review B 72:1–15

    Google Scholar 

  42. Bäker M, Rösler J, Siemers C (2002) A finite element model of high speed metal cutting with adiabatic shearing. Comput Struct 80:495–513

    Article  Google Scholar 

  43. Pantalé O, Bacaria J-L, Dalverny O, Rakotomalala R, Caperaa S (2004) 2D and 3D numerical models of metal cutting with damage effects. Comput Meth Appl Mech Eng 193:4383–4399

    Article  MATH  Google Scholar 

  44. Guo YB, Dornfeld DA (2000) Finite element modeling of burr formation process in drilling 304 stainless steel. J Manuf Sci Eng 122:612–619

    Article  Google Scholar 

  45. Hallquist JO (2006) LS-DYNA theory manual. Livermore Software Technology Corporation, Livermore, CA

    Google Scholar 

  46. Gnuchii YB, Sveshnikov IA, Borisenko VV, Podoroga VA (1987) Application of the finite-element method to problems of tool penetration into rock being fractured. Strength of Materials 19(8):1160–1165

    Article  Google Scholar 

  47. Lemaitre J (1984) How to use damage mechanics. Nuclear Engineering and Design 80:233–245

    Article  Google Scholar 

  48. Roxborough FF (1973) Cutting rocks with picks. The Mining Engineer 132(153):445–454

    Google Scholar 

  49. Kaitkay P, Lei S (2005) Experimental study of rock cutting under external hydrostatic pressure. J Mater Process Technol 159(2):206–213

    Article  Google Scholar 

  50. Richard T (1999) Determination of rock strength from cutting tests. Master's thesis, University of Minnesota, Minneapolis, MN, USA

  51. Wei X, Wang CY, Yuan H, Xie ZH (2003) Study of fracture mechanism of rock cutting. Key Eng Mater 250:200–208

    Article  Google Scholar 

  52. Garcia-Gavito D (1998) Cutting mechanics modeling for polycrystalline diamond compacts and extension to the drill bit. Ph.D. thesis, University of Tulsa, Tulsa, OK, USA.

  53. Germay C, Denoël V, Detournay E (2009) Multiple mode analysis of the self-excited vibrations of rotary drilling systems. Journal of Sound and Vibration 325(1–2):362–381

    Article  Google Scholar 

  54. Verhoef PNW (1997) Wear of rock cutting tools: Implications for the site investigation of rock dredging projects. PhD thesis, Technical University Delft, Delft, Netherlands.

  55. Evans I, Pomeroy CD (1966) The strength, fracture and workability of coal. Permagon Press, Oxford, 277

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Industrial Engineering, University of Wisconsin-Milwaukee, Milwaukee, WI, 53201, USA

    Pradeep L. Menezes & Michael R. Lovell

  2. Department of Mechanical Engineering, University of Wisconsin-Milwaukee, Milwaukee, WI, 53201, USA

    Ilya V. Avdeev

  3. Department of Civil and Environmental Engineering, University of Pittsburgh, Pittsburgh, PA, 15260, USA

    Jeen-Shang Lin

  4. Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213, USA

    C. Fred Higgs III

Authors
  1. Pradeep L. Menezes
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  2. Michael R. Lovell
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  3. Ilya V. Avdeev
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  4. Jeen-Shang Lin
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  5. C. Fred Higgs III
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Correspondence to Pradeep L. Menezes.

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Menezes, P.L., Lovell, M.R., Avdeev, I.V. et al. Studies on the formation of discontinuous chips during rock cutting using an explicit finite element model. Int J Adv Manuf Technol 70, 635–648 (2014). https://doi.org/10.1007/s00170-013-5309-y

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  • DOI: https://doi.org/10.1007/s00170-013-5309-y

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