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Laser Surface Hardening Considering Coupled Thermoelasticity

Published online by Cambridge University Press:  05 May 2011

Me. Sistaninia ,
Ma. Sistaninia  and
H. Moeanodini
Me. Sistaninia*
Affiliation:
Department of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
Ma. Sistaninia*
Affiliation:
Department of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
H. Moeanodini*
Affiliation:
Department of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
*
* Ph.D. candidate, corresponding author
** Graduate student
** Graduate student
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Abstract

Thermoelastic temperature, displacement and stress in heat transfer during laser surface hardening are solved in both Lagrangian formulation and Eulerian formulation. In the Eulerian formulation, the heat flux is fixed in space and the work-piece is moved through a control volume. In the case of uniform velocity and uniform heat flux distribution, the Eulerian formulation leads to a steady-state problem, while the Lagrangian formulation remains transient. In the Eulerian formulation, the reduction to a steady-state problem increases the computational efficiency. Also, in this study, an analytical solution is developed for an uncoupled transient heat conduction equation in which a plane slab is heated by a laser beam. The thermal results of the numerical models are compared with the results of the analytical model. A comparison of the results shows that numerical solutions in the case of uncoupled problem are in good agreement with the analytical solution.

Keywords

Coupled thermoelasticityFinite elementLaser surface hardening
Type
Articles
Information
Journal of Mechanics , Volume 25 , Issue 3 , September 2009 , pp. 241 - 249
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2009

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References

1.Peyre, P., Fabbro, R., Berthe, L. and Dubouchet, C., “Laser Shock Processing of Materials,” J. Laser Appl., 8, pp. 135–141(1996).CrossRefGoogle Scholar
2.Welsh, L. P., Tuchmqn, J. A. and Herman, J. P., “The Importance of Thermal Stresses and Strains Induced in Laser Processing with Focused Gaussian Beam,” J. Appl. Phys., 64, pp. 62–74 (1988).CrossRefGoogle Scholar
3.Schwager, K. D., Scholes, B., Macheraunch, E. and Mordike, B. L., Proc. Laser Treatment of Metals, ECLAT 92, DGM Verlag, pp. 629–634 (1992).Google Scholar
4.Bouffoussi, M., Denis, S., Chevrier, J. Ch., Simon, A., Bignonnet, A. and Merlin, J., Proc. Laser Treatment of Metals, ECLAT 92, DGM Verlag, pp. 635–640 (1992).Google Scholar
5.Germanovich, L. N., Kill, I. D. and Tsodokova, N. S., “Thermoelasstic Stresses in a Half-Space Heated by Concentrated Energy Flux,” J. Appl. Mech., 52, pp. 525–534 (1989).Google Scholar
6.Hosseini-Tehrani, P. and Eslami, M. R., “BEM Analysis of Thermal and Mechanical Shock in a Two-Dimensional Finite Domain Considering Coupled Thermoelasticity,” J. Eng. Anal. with Boundary Elem., 24, pp. 249–257 (2000).CrossRefGoogle Scholar
7.Rajadhyaksha, S. M. and Michaleris, P., “Optimization of Thermal Processes Using an Eulerian Formulation and Application in Laser Surface Hardening,” J. Numer. Meth. Eng., 47, pp. 1807–1823 (2000).3.0.CO;2-D>CrossRefGoogle Scholar
8.Hosseini-Tehrani, P. and Eslami, M. R., “Boundary Element Analysis of Stress Intensity Factor KI in Some Two-Dimensional Dynamic Thermoelastic Problems,” J. Eng. Anal. with Boundary Elem., 29, pp. 232–240 (2005).CrossRefGoogle Scholar
9.ASYS Help System, Theory Reference, Release 8 (2003).Google Scholar
10.Bagri, A. and Eslami, M. R., “Generalized Coupled Thermoelasticity of Functionally Graded Annular Disk Considering the Lord-Shulman Theory,” J. Comp. Structures, 83, pp. 168–179 (2007).CrossRefGoogle Scholar
11.Yang, Y. S. and Na, S. J., “A Study on Residual Stresses in Laser Surface Hardening of a Medium Carbon Steel,” J. Surf. and Coat. Tech., 38, pp. 311–324 (1989).CrossRefGoogle Scholar
12.Polyanin, A. D., Handbook of Linear Partial Differential Equations for Engineers and Scientists, USA, pp. 58–68 (2002).CrossRefGoogle Scholar
13.Wanga, X. F., Lua, X. D., Chenb, G. N., Hua, Sh. G. and Sua, Y. P., “Research on the Temperature Field in Laser Hardening,” J. Optics and Laser Tech., 38, pp. 8–13 (2006).CrossRefGoogle Scholar
14. ASM International, Metals Handbook, 1, Properties and Selection, American Society for Metals, 9th Ed., pp. 145–147 (1978).Google Scholar
15.Yang, Y. S. and Na, S. J., “Influence of Heating Rate on the Laser Surface Hardening of a Medium Carbon Steel,” J. Surf. Coat. Tech., 34, pp. 319–330 (1988).Google Scholar
16.Inue, T. and Tanaka, K., “An Elastic-Plastic Stress Analysis of Quenching When Considering a Transformation,” Int. J. Mech. Sci., 17, pp. 361–367 (1975).CrossRefGoogle Scholar