The Paton Welding Journal, 2002, №08

2002 №08 (01)

2002 №08 (03)

---

The Paton Welding Journal, 2002, #8, 10-14 pages

Simulation of thermal and solidification processes in laser welding of aluminium plates

V.A. Karkhin¹, V.V. Ploshikhin², Kh.V. Bergman³

¹St.-Petersburg State Technical University, St.-Petersburg, Russia
²Bairout Gmbll, Germany
³Bairout University, Germany

Abstract
The paper deals with the method of solving an inverse quasi-stationary problem of heat conductivity to determine the parameters of laser welding mode by measured (specified) characteristics of the weld. The objective function is taken to be the sum of weighted squares of the differences of calculated and assigned characteristics of the weld and magnitudes of the sought parameters, as well as regularisation terms. Effective (input) energy is determined by the measured weld width and angle of crystallographic orientation of weld metal grains in laser welding of an aluminium alloy. Influence of welding mode on weld pool shape and weld metal microstructure is demonstrated.
Keywords: simulation, inverse problem of heat conductivity, thermal processes, solidification, laser welding, aluminium alloy

References

1. Tikhonov, A.N., Arsenin, V.Ya. (1979) Methods of solving Ill-defined problems. Moscow: Nauka.
2. Beck, J.V., Blackwell, B., Saint-Clair, Ch. (1989) Ill-defined inverse problems of thermal conductivity. Moscow: Mir.
3. Kurpisz, K., Nowak, A.J. (1995) Inverse thermal problems. Southampton, Boston: Comput. Meeh. Publ.
4. Beck, J.V. (1991) Inverse problems in heat transfer with application to solidification and welding. In: Modelling of casting, welding and advanced solidification processes. Ed. by M. Rappaz, M.R. Ozgu, K.W. Manin.
5. Zabaras, N. (1991) Inverse modelling of solidification and welding processes. Ibid.
6. Al-Khalidy, N. (1996) Two-dimensional inverse phase change problem. In: Advanced computational methods in heat transfer. Ed. by L.C. Wrobel, G. Comini, C.A. Brebbia, A.J. Nowak. Southampton, Boston: Comput. Meeh. Publ.
7. Karkhin, V.A., Ilyin, A.S., Plochikhine, V.V. ct al. (2001) Inverse modelling of the heat input distribution during deep penetration laser and electron beam welding. In: Proc, of 8th onf, on Laser Mater. Processing in the Nordic Countries. Copenhagen, Aug. 13-15, 2001.
8. Ploshikhin, V.V., Bergmann, II.W. (1998) Simulation of grain structures in laser beam welds undergoing the planar solidification mode. In: Mathematical modelling of weld phenomena. Ed. by II. Cerjak. Vol. 4. London: The Inst, of Mater.
9. Bergmann, II.W., Mayer, S., Mueller, K. ct al. (1998) Texture evolution in laser beam welds undergoing the planar solidification mode. Ibid.
10. Dausingcr, F. (1995) Strahlwerkzeug Laser: Energeeinkopplung und Processeffektivitaet. Stuttgart : Teubner.
11. Boulton, N.S., Lance Martin, II.E. (1936) Residual stresses in arc-welded plates. In: Proc. Inst. Meeh. Eng. Vol. 133. London

---

Suggested Citation

V.A. Karkhin, V.V. Ploshikhin, Kh.V. Bergman (2002) Simulation of thermal and solidification processes in laser welding of aluminium plates. The Paton Welding J., 08, 10-14.

---