Skip to main content
Top
Published in: Production Engineering 6/2013

01-11-2013 | Computer Aided Engineering

Modelling of orthogonal cutting processes with the method of smoothed particle hydrodynamics

Authors: Uwe Heisel, Wiliam Zaloga, Dmitrii Krivoruchko, Michael Storchak, Liubov Goloborodko

Published in: Production Engineering | Issue 6/2013

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In the last decades, mesh-free methods for simulating various cutting processes have been used very widely as they can eliminate numerical problems in the simulation of material failure and large plastic deformations. This paper deals with the results from modelling the orthogonal cutting of AISI 1045 steel using smoothed particle hydrodynamics (SPH) method. Moreover, it is determined how the parameters of the SPH solver such as initial smoothing length, initial particle density and coefficient for the timestep increase affect the prediction error for the values of cutting force and chip compression ratio as well as computing time. The optimum values of the SPH solver parameters are determined by minimising an objective function. The best balance between the prediction error of machining variables and computing time is achieved for an initial particle density of 40 μm and a coefficient for the timestep increase of 0.4.

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

Literature
1.
go back to reference Bagci E (2011) 3-D numerical analysis of orthogonal cutting process via mesh-free method. Int J Phys Sci 6:1267–1282 Bagci E (2011) 3-D numerical analysis of orthogonal cutting process via mesh-free method. Int J Phys Sci 6:1267–1282
2.
go back to reference Belytschko T, Krongauz Y, Organ D, Fleming M, Krysl P (1996) Meshless methods: an overview and recent developments. Comput Methods Appl Mech Eng 139:3–47CrossRefMATH Belytschko T, Krongauz Y, Organ D, Fleming M, Krysl P (1996) Meshless methods: an overview and recent developments. Comput Methods Appl Mech Eng 139:3–47CrossRefMATH
3.
go back to reference Brebbia CA, Telles JCF, Wrobel LC (1984) Boundary element techniques. Theory and applications in engineering. Springer, Berlin, p 464CrossRefMATH Brebbia CA, Telles JCF, Wrobel LC (1984) Boundary element techniques. Theory and applications in engineering. Springer, Berlin, p 464CrossRefMATH
4.
go back to reference Cleary PW (1999) Modeling the high pressure die casting process using SPH. Second international conference on CFD in the minerals and process industries Cleary PW (1999) Modeling the high pressure die casting process using SPH. Second international conference on CFD in the minerals and process industries
6.
go back to reference Colagrossi A, Landrini M (2003) Numerical simulation of interfacial flows by smoothed particle hydrodynamics. J Comput Phys 191:448–475CrossRefMATH Colagrossi A, Landrini M (2003) Numerical simulation of interfacial flows by smoothed particle hydrodynamics. J Comput Phys 191:448–475CrossRefMATH
7.
go back to reference Das R, Cleary PW (2007) Modeling plastic deformation and thermal response in welding using smoothed particle hydrodynamics. 16th Australasian fluid mechanics conference, 2–7 December Das R, Cleary PW (2007) Modeling plastic deformation and thermal response in welding using smoothed particle hydrodynamics. 16th Australasian fluid mechanics conference, 2–7 December
8.
go back to reference Groenenboom PHL, Lobovský L (2009) Artificial stress effects on structural dynamics using SPH. In: Proceedings of the 4th international SPHERIC SPH workshop, nantes, France, 27–29 May, pp 303–309 Groenenboom PHL, Lobovský L (2009) Artificial stress effects on structural dynamics using SPH. In: Proceedings of the 4th international SPHERIC SPH workshop, nantes, France, 27–29 May, pp 303–309
9.
go back to reference Hallquist JO (2006) LS-DYNA theory manual livermore software technology corporation. J. O. Hallquist Livermore, California, 94551, p 680 Hallquist JO (2006) LS-DYNA theory manual livermore software technology corporation. J. O. Hallquist Livermore, California, 94551, p 680
10.
go back to reference Heisel U, Krivoruchko DV, Zaloha VA, Storchak M (2007) Cause analysis of errors in FE prediction of orthogonal cutting performances. 10th CIRP international workshop on modeling of machining operations, pp 141–148 Heisel U, Krivoruchko DV, Zaloha VA, Storchak M (2007) Cause analysis of errors in FE prediction of orthogonal cutting performances. 10th CIRP international workshop on modeling of machining operations, pp 141–148
11.
go back to reference Heisel U, Kryvoruchko DV, Zaloha VA, Storchak M, Stehle T (2009) Thermomechanische Wechselwirkungen beim Zerspanen. ZWF 4:263–272 Heisel U, Kryvoruchko DV, Zaloha VA, Storchak M, Stehle T (2009) Thermomechanische Wechselwirkungen beim Zerspanen. ZWF 4:263–272
12.
go back to reference Heisel U, Kryvoruchko DV, Zaloha VA, Storchak M, Stehle T (2009) Bruchmodelle für die Modellierung von Zerspanprozessen. ZWF 5:330–339 Heisel U, Kryvoruchko DV, Zaloha VA, Storchak M, Stehle T (2009) Bruchmodelle für die Modellierung von Zerspanprozessen. ZWF 5:330–339
13.
go back to reference Heisel U, Storchak M, Eberhard P, Gaugele T (2011) Experimental studies for verification of thermal effects in cutting. Ann WGP Product Eng 5:507–515CrossRef Heisel U, Storchak M, Eberhard P, Gaugele T (2011) Experimental studies for verification of thermal effects in cutting. Ann WGP Product Eng 5:507–515CrossRef
14.
go back to reference Jaspers SP (1999) Metal cutting mechanics and material behaviour. Technische Universiteit Eindhoven, Eindhoven, p 173 Jaspers SP (1999) Metal cutting mechanics and material behaviour. Technische Universiteit Eindhoven, Eindhoven, p 173
15.
go back to reference Johnson GR, Cook WH (1985) Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Eng Fract Mech 21(1):31–48CrossRef Johnson GR, Cook WH (1985) Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Eng Fract Mech 21(1):31–48CrossRef
16.
go back to reference Krivoruchko DV (2010) Fundamental of cutting modeling with numerical methods. Thesis Dr. Sc. Tech., Kharkiv, p 40 Krivoruchko DV (2010) Fundamental of cutting modeling with numerical methods. Thesis Dr. Sc. Tech., Kharkiv, p 40
17.
go back to reference Lehnart A, Fleissner F, Eberhard P (2010) An alternative approach to modelling complex smoothed particle hydrodynamics boundaries. In: Proceedings of the 5th international SPHERIC SPH workshop, 23–25 June, Manchester, Great Britain, pp 21–28 Lehnart A, Fleissner F, Eberhard P (2010) An alternative approach to modelling complex smoothed particle hydrodynamics boundaries. In: Proceedings of the 5th international SPHERIC SPH workshop, 23–25 June, Manchester, Great Britain, pp 21–28
18.
go back to reference Limido J, Espinosa C, Salaün M, Lacome JL (2006) A new approach of high speed cutting modeling: SPH method. J Phys IV France 134:1195–1200CrossRef Limido J, Espinosa C, Salaün M, Lacome JL (2006) A new approach of high speed cutting modeling: SPH method. J Phys IV France 134:1195–1200CrossRef
19.
go back to reference Limido J, Espinosa C, Salaün M, Lacome JL (2007) SPH method applied to high speed cutting modeling. Int J Mech Sci 4:898–908CrossRef Limido J, Espinosa C, Salaün M, Lacome JL (2007) SPH method applied to high speed cutting modeling. Int J Mech Sci 4:898–908CrossRef
20.
go back to reference Limido J, Espinosa C, Salaün M, Mabru C, Chieragatti R (2009) High speed machining modelling: SPH method capabilities. In: Proceedings of the 4th international SPHERIC SPH workshop, 27–29 May, Nantes, France, pp 116–122 Limido J, Espinosa C, Salaün M, Mabru C, Chieragatti R (2009) High speed machining modelling: SPH method capabilities. In: Proceedings of the 4th international SPHERIC SPH workshop, 27–29 May, Nantes, France, pp 116–122
21.
go back to reference LS-DYNA keyword user’s manual volume imay (2007) version 971 LS-DYNA keyword user’s manual volume imay (2007) version 971
22.
go back to reference McDonald RP (1985) Factor analysis and related methods. Lawrence Erlbaum Associates, Hillsdale, p 262 McDonald RP (1985) Factor analysis and related methods. Lawrence Erlbaum Associates, Hillsdale, p 262
23.
go back to reference Rabczuk T, Belytschko T, Xiao SP (2004) Stable particle methods based on Lagrangian kernels. Comput Methods Appl Mech Eng 193:1035–1063MathSciNetCrossRefMATH Rabczuk T, Belytschko T, Xiao SP (2004) Stable particle methods based on Lagrangian kernels. Comput Methods Appl Mech Eng 193:1035–1063MathSciNetCrossRefMATH
24.
go back to reference Ricardo LA, Alves M (2009) Numerical simulation of soft-body impact on GFRP laminate composites: mixed SPH-FE and pure SPH approaches. Mech Solids Brazil:15–30 Ricardo LA, Alves M (2009) Numerical simulation of soft-body impact on GFRP laminate composites: mixed SPH-FE and pure SPH approaches. Mech Solids Brazil:15–30
25.
go back to reference Ruttimann N, Buhl S, Wegener K (2010) Simulation of single grain cutting using SPH method. J Mach Eng 10:17–29 Ruttimann N, Buhl S, Wegener K (2010) Simulation of single grain cutting using SPH method. J Mach Eng 10:17–29
26.
go back to reference Shah QH, Hamdani A (2013) The damage of unconfined granite edge due to the impact of varying stiffness projectiles. Int J Impact Eng 59:11–17CrossRef Shah QH, Hamdani A (2013) The damage of unconfined granite edge due to the impact of varying stiffness projectiles. Int J Impact Eng 59:11–17CrossRef
27.
go back to reference Stein E, De BR, Hughes TJ (2004) Encyclopedia of computational mechanics in 2 vol—Chichester. Wiley, New York, p 798 Stein E, De BR, Hughes TJ (2004) Encyclopedia of computational mechanics in 2 vol—Chichester. Wiley, New York, p 798
28.
go back to reference Su C, Xu L, Liu Y, Ma J (2013) Numerical simulation of cutting process of CBN grit based on SPH method. J China Mech Eng 24:667–671 Su C, Xu L, Liu Y, Ma J (2013) Numerical simulation of cutting process of CBN grit based on SPH method. J China Mech Eng 24:667–671
29.
go back to reference Zenkevich OC, Morgan K (1983) Finite elements and approximation. Wiley, NY, p 318 Zenkevich OC, Morgan K (1983) Finite elements and approximation. Wiley, NY, p 318
Metadata
Title
Modelling of orthogonal cutting processes with the method of smoothed particle hydrodynamics
Authors
Uwe Heisel
Wiliam Zaloga
Dmitrii Krivoruchko
Michael Storchak
Liubov Goloborodko
Publication date
01-11-2013
Publisher
Springer Berlin Heidelberg
Published in
Production Engineering / Issue 6/2013
Print ISSN: 0944-6524
Electronic ISSN: 1863-7353
DOI
https://doi.org/10.1007/s11740-013-0484-0

Other articles of this Issue 6/2013

Production Engineering 6/2013 Go to the issue

Premium Partners