Abstract
A mathematical model for weld heat sources based on a Gaussian distribution of power density in space is presented. In particular a double ellipsoidal geometry is proposed so that the size and shape of the heat source can be easily changed to model both the shallow penetration arc welding processes and the deeper penetration laser and electron beam processes. In addition, it has the versatility and flexibility to handle non-axisymmetric cases such as strip electrodes or dissimilar metal joining. Previous models assumed circular or spherical symmetry. The computations are performed with ASGARD, a nonlinear transient finite element (FEM) heat flow program developed for the thermal stress analysis of welds.* Computed temperature distributions for submerged arc welds in thick workpieces are compared to the measured values reported by Christensen1 and the FEM calculated values (surface heat source model) of Krutz and Segerlind.2 In addition the computed thermal history of deep penetration electron beam welds are compared to measured values reported by Chong.3 The agreement between the computed and measured values is shown to be excellent.
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N. Christensen, L. de. V. Davies, and K. Gjermundsen:British Welding Journal, 1965, vol. 12, pp. 54–75.
G. W. Krutz and L. J. Segerlind:Welding Journal Research Supplement, 1978, vol. 57, pp. 211s-16s.
L. M. Chong:Predicting Weld Hardness, M. Eng. Thesis, Department of Mechanical and Aeronautical Engineering, Carleton University, Ottawa, Canada, 1982, pp. 56–57.
O. Westby:Temperature Distribution in the Workpiece by Welding, Department of Metallurgy and Metals Working, The Technical University, Trondheim, Norway, 1968.
B. A. B. Andersson:Journal of Engineering Materials and Technology, Trans. ASME, 1978, vol. 100, pp. 356–62.
Z. Paley and P. D. Hibbert:Welding Journal Research Supplement, 1975, vol. 54, pp. 385s-92s.
E. Friedman:Journal Pressure Vessel Technology, Trans. ASME, 1975, vol. 97, pp. 206–13.
V. Pavelic, R. Tanbakuchi, O. A. Uyehara, and P. S. Myers:Welding Journal Research Supplement, 1969, vol. 48, pp. 295s-305s.
K. Masubuchi:Control of Distortion and Shrinkage in Welding, Welding Research Council Bulletin, New York, NY, 1970, no.169.
D. Rosenthal:Trans. ASME, 1946, vol. 68, pp. 849–65.
P. S. Myers, O. A. Uyehara, and G. L. Borman:Fundamentals of Heat Flow in Welding, Welding Research Council Bulletin, New York, NY, 1967, no. 123.
E. Friedman:Welding Journal Research Supplement, 1978, vol. 57, pp. 161s-66s.
W.F. Hess, L. L. Merril, E. F. Nippes Jr., and A. P. Bunk:Welding Journal Research Supplement, 1943, vol. 23, pp. 377s-422s.
R. R. Rykalin:Energy Sources for Welding, Houdrement Lecture, International Institute of Welding, London, 1974, pp. 1–23.
V. A. Vinokurov:Welding Stresses and Distortions, The British Library, Lending Division, Translated from Russian into English by J.E. Baker, 1977, pp. 118–19.
The British Iron and Steel Research Association,Physical Constants of Some Commercial Steels at Elevated Temperatures, London Butterworths Scientific Publications, 1953.
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Goldak, J., Chakravarti, A. & Bibby, M. A new finite element model for welding heat sources. Metall Trans B 15, 299–305 (1984). https://doi.org/10.1007/BF02667333
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DOI: https://doi.org/10.1007/BF02667333