Analytic and Finite Element Solutions for Temperature Profiles in Welding using Varied Heat Source Models
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.
[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.
[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.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:50009", author = "Djarot B. Darmadi and John Norrish and Anh Kiet Tieu", title = "Analytic and Finite Element Solutions for Temperature Profiles in Welding using Varied Heat Source Models", abstract = "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 = "Analytic solution, FEM, Temperature profile, HeatSource Model", volume = "5", number = "9", pages = "1701-9", }
