Applied Physics A

, Volume 116, Issue 3, pp 1353–1364 | Cite as

Comparative theoretical analysis of continuous wave laser cutting of metals at 1 and 10 μm wavelength

Article

Abstract

We present a derivation and, based on it, an extension of a model originally proposed by V.G. Niziev to describe continuous wave laser cutting of metals. Starting from a local energy balance and by incorporating heat removal through heat conduction to the bulk material, we find a differential equation for the cutting profile. This equation is solved numerically and yields, besides the cutting profiles, the maximum cutting speed, the absorptivity profiles, and other relevant quantities. Our main goal is to demonstrate the model’s capability to explain some of the experimentally observed differences between laser cutting at around 1 and 10 μm wavelengths. To compare our numerical results to experimental observations, we perform simulations for exactly the same material and laser beam parameters as those used in a recent comparative experimental study. Generally, we find good agreement between theoretical and experimental results and show that the main differences between laser cutting with 1- and 10-μm beams arise from the different absorptivity profiles and absorbed intensities. Especially the latter suggests that the energy transfer, and thus the laser cutting process, is more efficient in the case of laser cutting with 1-μm beams.

References

  1. 1.
    L.D. Scintilla, L. Tricarico, A. Mahrle, A. Wetzig, E. Beyer, A comparative study of cut front profiles and absorptivity behavior for disk and \(\mathrm{CO_2}\) laser beam inert gas fusion cutting. J. Laser Appl. 24(5), 052006–1 (2012)CrossRefGoogle Scholar
  2. 2.
    K. Hirano, R. Fabbro, Possible explanations for different surface quality in laser cutting with 1 and \(10 \mu\mathrm{m}\) beams. J. Laser Appl. 24(1), 012006–1 (2012)ADSCrossRefGoogle Scholar
  3. 3.
    M. Vicanek, G. Simon, H.M. Urbassek, I. Decker, Hydrodynamical instability of melt flow in laser cutting. J. Phys. D: Appl. Phys. 20, 140–145 (1987)ADSGoogle Scholar
  4. 4.
    C. Wandera, A. Salminen, V. Kujanpaa, Inert gas cutting of thick-section stainless and medium-section aluminum using a high power fiber laser. J. Laser Appl. 21(3), 154–161 (2009)ADSGoogle Scholar
  5. 5.
    C. Wandera, V. Kujanpaa, Characterization of the melt removal rate in laser cutting of thick-section stainless steel. J. Laser Appl. 22(2), 62–70 (2010)Google Scholar
  6. 6.
    M. Vicanek, G. Simon, Momentum and heat transfer of an inert gas jet to the melt in laser cutting. J. Phys. D: Appl. Phys. 20, 1191–1196 (1987)ADSGoogle Scholar
  7. 7.
    M. Sparkes, M. Gross, S. Celotto, T. Zhang, and W. O’Neill, Inert cutting of medium section stainless steel using a 2.2 kw high brightness fibre laser. In ICALEO 2006 Congress Proceedings, pp. 197–205, Orlando, FL, 2006. Laser Institute of America. Paper No. 402.Google Scholar
  8. 8.
    A .Mahrle, E. Beyer, Theoretical aspects of fibre laser cutting. J. Phys. D: Appl. Phys. 42, 175597 (2009)Google Scholar
  9. 9.
    F. O. Olsen, Laser cutting from \(\mathrm{CO}_2\) laser to disc or fiber laser-Possibilities and challenges. In ICALEO 2011 Congress Proceedings, pp. 6–15, Orlando, FL, 2011. Laser Institute of America. Paper No. 101.Google Scholar
  10. 10.
    A. Riveiro, F. Quintero, F. Lusquiños, J. Pou, A. Salminen, V. Kujanpaa. Influence of assist gas in fibre laser cutting of aluminum-copper alloy. In ICALEO 2008 Congress Proceedings, pp. 688–694, Orlando, FL, 2008. Laser Institute of America. Paper No. 2004.Google Scholar
  11. 11.
    L.D. Scintilla, L. Tricarico, Estimating cutting front temperature difference in disk and \(\mathrm{CO}_2\) laser beam fusion cutting. Optics Laser Technol. 44, 1468–1479 (2012)ADSGoogle Scholar
  12. 12.
    D. Petring, T. Molitor, F. Schneider, N. Wolf, Diagnostics, modeling and simulation: three keys towards mastering the cutting process with fiber, disk and diode lasers. Phys. Procedia 39, 186–196 (2012)Google Scholar
  13. 13.
    V.G. Niziev, Theory of CW laser beam cutting. Laser Phys. 3(3), 629 (1993)Google Scholar
  14. 14.
    V. G. Niziev, A. V. Nesterov, Influence of beam polarization on laser cutting efficiency. J. Phys. D: Appl. Phys. 32, 1455, (1999)Google Scholar
  15. 15.
    M. Born, E. Wolf, Principles of optics, Cambridge University Press, The Edinburgh Building, Cambridge CB2 2RU, UK, Sixth edition, (1997)Google Scholar
  16. 16.
    J. A. Stratton, Electromagnetic theory, McGraw-Hill Book Company, Inc., New York and London, (1941)Google Scholar
  17. 17.
    A. Kaplan, Theoretical analysis of laser cutting. Shaker Verlag, Aachen, (2002)Google Scholar
  18. 18.
    W. Schulz, D. Becker, J. Franke, R. Kammerling, G. Herziger, Heat conduction losses in laser cutting of metals. J. Phys. D: Appl. Phys. 26, 1357–1363 (1993)ADSGoogle Scholar
  19. 19.
    R. Courant, D. Hilbert, Methods of Mathematical Physics, vol. 2, Interscience Publishers, New York, (1962)Google Scholar
  20. 20.
    P.A. Bélanger, C. Paré, Optical resonators using graded-phase mirrors. Optics Lett. 16(14), 1057–1059 (1991)ADSGoogle Scholar
  21. 21.
    P. Atanasov, Some aspects of high pressure \(\mathrm{N}_2\)-assisted \(\mathrm{CO}_2\) laser cutting of metals. In Proc. SPIE 1810, 9th International Symposium on Gas Flow and Chemical Lasers, vol. 1810, pp. 628–631, May 1993Google Scholar
  22. 22.
    M. Dell’Erba, G. Daurelio, M. Ferrara, \(\mathrm{CO}_2\) laser cutting process of thick aluminium. Appl. Phys. Commun. 5(1–2), 23–35 (1985)Google Scholar
  23. 23.
    G. Daurelio, M. Dell’Erba, L. Cento, Cutting copper sheets by \(\mathrm{CO}_2\) laser. Lasers Appl. pp. 59–64 (1986)Google Scholar
  24. 24.
    S. Stelzer, A. Mahrle, A. Wetzig, E. Beyer, Experimental investigations on fusion cutting stainless steel with fiber and \(\mathrm{CO_2}\) laser beams. Phys. Procedia 41, 392–397 (2013)Google Scholar
  25. 25.
    L.D. Scintilla, L. Tricarico, A. Wetzig, E. Beyer Investigation on disk and \(\mathrm{CO}_2\) laser beam fusion cutting differences based on power balance equation. Int. J. Mach. Tools Manuf. 69, 30–37 (2013)Google Scholar
  26. 26.
    L.D. Scintilla, L. Tricarico, A. Wetzig, A. Mahrle, E. Beyer, Primary losses in disk and \(\mathrm{CO}_2\) laser beam inert gas fusion cutting. J. Mater. Process. Technol. 211, 2050–2061 (2011)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Institute of Applied PhysicsUniversity of BernBernSwitzerland

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