Skip to main content
SpringerLink
Log in

Approximate solutions for the evaluation of the depth of laser-melted zones

  • Published:
Applied Physics A Aims and scope Submit manuscript

Abstract

In many practical applications there is a need for a fast and easy estimation of the depth of the laser-melted zone during laser-surface treatment. Closed-form solutions using the Fourier differential equation are quite difficult for problems with phase change and can be impossible for particular boundary and initial conditions. In this paper, we formulate the conservation of energy equation in an integral form and by prescribing the function for the thermal field we are able to derive a simple analytical solution for the evaluation of the depth of the laser-melted zone. The calculated values obtained by the model are in good agreement with the experimental data.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. Brockmann, K. Dickmann, P. Geshev, K.-J. Matthes: Opt. Laser Technol. 35, 115 (2003)

    Article  ADS  Google Scholar 

  2. L.X. Yang, X.F. Peng, B.X. Wang: Int. J. Heat Mass Transfer 44, 4465 (2001)

    Article  Google Scholar 

  3. B. Basu, J. Srinivasan: Int. J. Heat Mass Transfer 31, 2331 (1988)

    Article  Google Scholar 

  4. R.W. Lewis, K. Morgan, H.R. Thomas, K.N. Seetharamu: The Finite Element Method in Heat Transfer Analysis (Wiley, Chichester 1996)

  5. G. Chryssolouris: Laser Machining, Theory and Practice (Springer, New York 1990)

  6. R. Seshadri, T.Y. Na: Group Invariance in Engineering Boundary Value Problems (Springer, New York 1986) p. 126

  7. H.S. Carslaw, J.C. Jaeger: Conduction of Heat in Solids (Oxford University Press, Oxford 2000) p. 75

  8. D.I. Pantelis, K.N. Vonatsos: Appl. Phys. A 67, 435 (1998)

    Article  ADS  Google Scholar 

  9. A. Ghosh, A.K. Mallik: Manufacturing Science (EWP, New Delhi 1995) p. 418

  10. Y. Guan, J.P. Montagnon, D.I. Pantelis, P. Poupeau, D. Francois: Rev. Metall. 87, 21 (1990)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Naval Architecture and Marine Engineering, Division of Marine Structures, National Technical University of Athens, 9, Heroon Polytechniou Avenue, 15773, Zografos, Athens, Greece

    K.N. Vonatsos & D.I. Pantelis

Authors
  1. K.N. Vonatsos
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D.I. Pantelis
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D.I. Pantelis.

Additional information

PACS

42.62.cf; 81.65.Lp

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vonatsos, K., Pantelis, D. Approximate solutions for the evaluation of the depth of laser-melted zones. Appl. Phys. A 80, 885–889 (2005). https://doi.org/10.1007/s00339-003-2339-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00339-003-2339-6

Keywords

Search

Navigation