Abstract
Mathematical models of the gas metal arc (GMA) welding process may be used to study the influence of various welding parameters on weld dimensions, to assist in the development of welding procedures, and to aid in the generation of process control algorithms for automated applications. In this work, a three-dimensional (3-D), steady-state thermal model of the GMA welding process has been formulated for a moving coordinate framework and solved using the finite-element method. The model includes temperature-dependent material properties, a new finite-element formulation for the inclusion of latent heat of fusion, a Gaussian distribution of heat flux from the arc, plus the effects of mass convection into the weld pool from the melted filler wire. The influence of weld pool convection on the pool shape was approximated using anisotropically enhanced thermal conductivity for the liquid phase. Weld bead width and reinforcement height were predicted using a unique iterative technique developed for this purpose. In this paper, the numerical model is shown to be capable of predicting GMA weld dimensions for individual welds, including those with finger penetration. Also, good agreement is demonstrated between predicted weld dimensions and experimentally derived relations that describe the effects of process variables and their influence on average weld dimensions for bead-onplate GMA welds on steel plate.
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H.B. Smartt, C.J. Einerson, A.D. Watkins, and R.A. Morris:Advances in Welding Science and Technology, Proc. Conf., Gatlinburg, TN, May 18–22, 1986, S.A. David, ed., ASM INTERNATIONAL, Metals Park, OH, 1986, pp. 461–66.
B.E. Bates and D.E. Hardt:J. Dynamic Systems, Measurement. Control, 1986, vol. 107 (3), pp. 25–33.
C.J. Allum and L. Quintino:Met. Constr., April 1985, vol. 17 (4), pp. 242R-45R.
C.J. Allum and L. Quintino:Met. Constr., May 1985, vol. 17 (5), pp. 314R-17R.
K. Thorn, M. Feenstra, J. C. Young, W.H.S. Lawson, and H.W. Kerr:Met. Constr., March 1982, vol. 14 (3), pp. 128–33.
D. Rosenthal:Welding J., Res. Suppl., 1941, vol. 20 (5), pp. 220–34.
N. Rykalin, A. Uglov, and A. Kokora:Laser Machining and Welding, MIR, Moscow, 1978.
T.W. Eagar and N.S. Tsai:Weld. J., 1983, vol. 62 (12), pp. 346s-55s.
C.M. Adams:Weld. J., 1958, vol. 37 (5), pp. 210–15.
N. Christensen, V. de L. Davies, and K. Gjermundsen:Br. Weld. J., 1965, vol. 12, pp. 54–75.
P.S. Myers, O.A. Uyehara, and G.L. Borman:Weld. Res. Counc. Bull., New York, NY, 1967, no. 123, pp. 1–46.
A. Imakita, V.J. Papazoglou, and K. Masubuchi:Annotated Bibliography on Numerical Analysis of Stresses, Strains, and Other Effects Due to Welding, Massachusetts Institute of Technology, Dept. of Ocean Eng., IIW Document X-996-81, 1981.
J.W. Macqueene, R.L. Akau, G. W. Krutz, and R.J. Shoenhals:Numerical Methods in Thermal Problems, R.W. Lewis, K. Morgan, and B.A. Schrefler, eds., Pineridge Press, Swansea, U.K., 1981, vol. II, pp. 153–67.
J. Goldak, M. McDill, A. Oddy, R. House, X. Chi, and M. Bibby:Advances in Welding Science and Technology, Proc. Conf., Gatlinburg, TN, May 18–22, 1986, S.A. David, ed., ASM INTERNATIONAL, Metals Park, OH, pp. 15–20.
H.J. Kraus.J. Heat Transfer, 1986, vol. 108, pp. 591–96.
D.C. Weckman, L.C. Mallory, and H.W. Kerr.Modeling and Control of Casting and Welding Processes IV, Proc. Conf., Palm Coast, FL, Apr. 17–22, 1988, A.F. Giamei and G.J. Abbaschian, eds., TMS-AIME, Warrendale, PA, 1988, pp. 121–30.
T. Zacharia, A.H. Eraslan, and D.K. Aidun:Weld. J., 1988, vol. 67 (3), pp. 53s-62s.
P. Tekriwal, M. Stitt, and J. Mazunder:Met. Constr., Oct. 1987, vol. 19 (10), pp. 599R-606R.
K.W. Mahin, A.B. Shapiro, and J. Hallquist:Advances in Welding Science and Technology, Proc. Conf., Gatlinburg, TN, May 18–22, 1986, S.A., David, ed., ASM INTERNATIONAL. Metals Park, OH, 1986, pp. 215–24.
S. Kou and Y.H. Wang,Weld. J., 1986, vol. 65 (3), pp. 63s-70s.
G.M. Oreper and J. Szekely:J. Fluid Mech., 1984, vol. 147, pp. 53–79.
E. Friedman and S.S. Glickstein:Weld. J., 1976, vol. 55 (12), pp. 408s-20s.
K.C. Tsao and C.S. Wu:Weld. J., 1988, vol. 67 (3), pp. 70s-75s.
P. Tekriwal and J. Mazumder:Weld. J., 1988, vol. 67 (7), pp. 150s-56s.
T. Zacharia, A.H. Eraslan, and D.K. Aidun:Weld. J., 1988, vol. 67 (1), pp. 18s-27s.
J. Goldak, M. Bibby, J. Moore, R. House, and B. Patel:Metall. Trans. B 1986, vol. 16B, pp. 587–600.
R.D. Pehlke, A. Jeyarajan, and H. Wada: NTIS Report No. NSF/MEA-82028, University of Michigan, Ann Arbor, MI, Dec. 1982.
Y.S. Touloukian: NASA Report Nos. CR-71699 and N66-23802, 1966.
C.K. Leung: Ph.D. Thesis, University of Waterloo, Waterloo, ON, Canada, 1986.
W.G. Essers and R. Walter:Weld. J., 1981, vol. 60 (2), pp. 37s-42s.
O.H. Nestor:J. Appl. Phys., 1962, vol. 33 (5), pp. 1638–48.
H.B. Smartt, J.A. Stewart, and C.J. Einerson:'85 ASM International Welding Congress, Toronto, ON, Canada, Oct. 14–17, 1985, ASM, Metals Park, OH, paper no. 8511-011, 13 pages.
N.S. Tsai and T.W. Eagar:Metall. Trans. B 1985, vol. 16B, pp. 841–46.
M. Lu and S. Kou:Weld. J., 1988, vol. 67 (2) pp. 29s-34s.
O.C. Zienkiewicz:The Finite Element Method, W.A. Benjamin Inc. Publishers. New York, NY, 1970.
K.H. Heubner and E.A. ThorntonThe Finite Element Method for Engineers, John Wiley & Sons, New York, NY, 1982.
I. Christie, D.F. Griffiths, and A.R. Mitchell:Int. J. Num. Meth. Eng., 1976, vol. 10, pp. 1389–96.
J.C. Heinrich, P.S. Huyakorn, and O.C. Zienkiewicz:Int. J. Num. Meth. Eng., 1977, Vol. 11, pp. 131–43.
C.C. Yu and J.C. Heinrich:Int. J. Numer. Methods Eng., 1987, vol. 24, pp. 2201–15.
R. Hermann:Lectures in Mathematical Physics, W.A. Benjamin Inc. Publishers, New York, NY, 1970, pp. 399–420.
J.J. Stoker,Differential Geometry, Wiley-Interscience, New York, NY, 1969, pp. 74–82.
The Physics of Welding, J.F. Lancaster, ed., Pergamon Press, New York, NY, 1984, pp. 204–63.
V.R. Dillenbeck and L. Castagno:Weld. J., 1987, vol. 67 (9), pp. 45–49.
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E. PARDO, formerly Postdoctoral Fellow, Department of Mechanical Engineering, University of Waterloo, Waterloo, ON, Canada N2L 3G1,
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Pardo, E., Weckman, D.C. Prediction of weld pool and reinforcement dimensions of GMA welds using a finite-element model. Metall Trans B 20, 937–947 (1989). https://doi.org/10.1007/BF02670199
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DOI: https://doi.org/10.1007/BF02670199