Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31105
Analytic and Finite Element Solutions for Temperature Profiles in Welding using Varied Heat Source Models

Authors: Djarot B. Darmadi, John Norrish, Anh Kiet Tieu


Solutions for the temperature profile around a moving heat source are obtained using both analytic and finite element (FEM) methods. Analytic and FEM solutions are applied to study the temperature profile in welding. A moving heat source is represented using both point heat source and uniform distributed disc heat source models. Analytic solutions are obtained by solving the partial differential equation for energy conservation in a solid, and FEM results are provided by simulating welding using the ANSYS software. Comparison is made for quasi steady state conditions. The results provided by the analytic solutions are in good agreement with results obtained by FEM.

Keywords: FEM, analytic solution, temperature profile, HeatSource Model

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1728


[1] Lei Yu-cheng, Yu Wen-xia, Li Chai-hui and Cheng Xiao-nong, "Simulation on temperature field of TIG Welding of cooper without preheating", Transaction of Nonferrous Metals Society of China, Vol.16, pp. 838-843, 2006.
[2] Viorel Deaconu, Finite Element Modeling of Residual Stress - A Powerful Tool in The Aid of Structural Integrity Assessment of Welded Structures, 5th Int. Conference Structural Integrity of Welded Structures, Romania; 2007.
[3] D. Rosenthal, "The theory of moving source of heat and its application to metal transfer", Trans. ASME, vol.43 no.11, 1946.
[4] H.S. Carslaw and J.C. Jaeger, "Conduction of heat in solid", Clarendon Press, Oxford, 1959.
[5] Z. Paley, J.N. Lync and Adam C.M. Jr, "Heat flow in welding heavy steel plate", Welding Research Supplement, pp.71-79, 1964.
[6] N. Christensen, V. Davies and K. Gjermundsen, "Distribution of temperature in arc welding", British Welding Journal 12(2), pp. 54-75, 1965.
[7] C.L. Tsai, "Heat flow in fusion welding", Proceeding of the conference on trends in welding research in the united states, ASM International, New Orleans, pp.91 - 108, 1982.
[8] R. Komanduri and Z.B. Hou, "Thermal analysis of the arc welding process: part I. General solutions", Metallurgical and Materials Transactions, vol. 31B, pp. 1353 - 1370, 2000.
[9] S. Dragi and V. Ivana, "Finite element analysis of residual stress in butt welding two similar plates", Scientific Technical Review, vol.59, no.1, pp. 57-60, 2009.
[10] M. Van Elsen, M. Baelmans, P. Mercelis andd J.P. Kruth, "Solutions for modeling moving heat sources in a semi-infinite medium and application to laser material processing", International Journal of Heat and Mass Transfer, vol.50, pp.4872 - 4882, 2007.
[11] S. Dragi and V. Ivana, "Finite element analysis of residual stress in butt welding two similar plates", Scientific Technical Review, vol.59, no.1, pp. 57-60, 2009.
[12] Z. Chai, H. Zhao and A. Lu, "Efficient finite element approach for modeling of actual welded structures", Science and Technology of Welding and Joining, vol.8, no.3, pp. 195 - 204, 2003.
[13] F. Lu, S. You, S. Lou and Y. Li, "Modeling and finite element analysis on GTAW arc and weld pool", Computational Materials Science, vol.29, pp. 371-378, 2004.
[14] D. Dean & M. Hidekazu, "Prediction of welding residual stress in multipass butt-welded modified 9Cr-1Mo steel pipe considering phase transformation", Computational Materials Science, vol.47, pp. 209-219, 2006.
[15] X. Shan, C.M. Davies, T. Wangsdan, N.P. O-Dowd and K.M. Nikbin, "Thermo-mechanical modeling of a single-bead-on-plate weld using the finite element method", International Journal of Pressure Vessels and Piping, vol. 86, pp. 110 - 121, 2009.