Parameter determination of double-ellipsoidal heat source model and its application in the multi-pass welding process

References

• ABAQUS. 2010. Example problems manual version 6.10-1. Rhode Island (RI): Hibbitt, Karlsson and Sorensen, Inc.
   Google Scholar
• Aloraier AS, Joshi S. 2012. Residual stresses in flux cored arc welding process in bead-on-plate specimens. Mater Sci Eng A. 534:13–21.
   Web of Science ®Google Scholar
• Aloraier AS, Joshi S, Price JW, Alawadhi K. 2013. Material properties characterization of low carbon steel using TBW and PWHT techniques in smooth-contoured and u-shaped geometries. Int J Press Vessel Piping. 111–112:269–278.
   Web of Science ®Google Scholar
• Bannour S, Abderrazak K, Mhiri H, Palec GL. 2012. Effects of temperature-dependent material properties and shielding gas on molten pool formation during continuous laser welding of AZ91 magnesium alloy. Opt Laser Technol. 44(8):2459–2468.
   Web of Science ®Google Scholar
• Brickstad B, Josefson B. 1998. A parametric study of residual stresses in multi-pass butt-welded stainless steel pipes. Int J Press Vessel Piping. 75(1):11–25.
   Web of Science ®Google Scholar
• Camilleri D, McPherson N, Gray TG. 2013. The applicability of using low transformation temperature welding wire to minimize unwanted residual stresses and distortions. Int J Press Vessel Piping. 110:2–8.
   Web of Science ®Google Scholar
• Deng D, Murakawa H. 2006. Prediction of welding residual stress in multi-pass butt-welded modified 9Cr-1Mo steel pipe considering phase transformation effects. Comput Mater Sci. 37:209–219.
   Web of Science ®Google Scholar
• Fachinotti VD, Anca AA, Cardona A. 2011. A method for the solution of certain problems in least squares. Int J Numer Method Biomed Eng. 27(4):595–607.
   Web of Science ®Google Scholar
• Goldak J, Chakravarti A, Bibby M. 1984. A new finite element model for welding heat source. Metall Mater Trans B. 15B:299–305.
   Web of Science ®Google Scholar
• Heinze C, Schwenk C, Rethmeier M. 2012. Numerical calculation of residual stress development of multi-pass gas metal arc welding. J Constr Steel Res. 72:12–19.
   Web of Science ®Google Scholar
• Joshi S, Hildebrand J, Aloraier AS, Rabczuk T. 2013. Characterization of material properties and heat source parameters in welding simulation of two overlapping beads on a substrate plate. Comput Mater Sci. 69:559–565.
   Web of Science ®Google Scholar
• Joshi S, Semetay C, Price JW, Nied HF. 2010. Weld-induced residual stresses in a prototype dragline cluster and comparison with design codes. Thin-Walled Struct. 48(2):89–102.
   Web of Science ®Google Scholar
• Kong F, Ma J, Kovacevic R. 2011. Numerical and experimental study of thermally induced residual stress in the hybrid laser-GMA welding process. J Mater Process Technol. 211:1102–1111.
   Web of Science ®Google Scholar
• Levenberg K. 1944. A method for the solution of certain problems in least squares. Q Appl Math. 5:164–168.
   Google Scholar
• Lundback A. 2003. Finite element modeling and simulation of welding of aerospace components [ master's thesis]. Sweden: Lulea University of Technology.
   Google Scholar
• Malik AM, Qureshi EM, Dar NU, Khan I. 2008. Analysis of circumferentially arc welded thin-walled cylinders to investigate the residual stress fields. Thin-Walled Struct. 46(12):1391–1401.
   Web of Science ®Google Scholar
• Marquardt D. 1963. An algorithm for least-squares estimation of nonlinear parameters. SIAM J Appl Math. 11(2):431–441.
   Web of Science ®Google Scholar
• Muránsky O, Smith MC, Bendeich PJ, Holden TM, Luzin V, Martins RV, Edwards L. 2012. Comprehensive numerical analysis of a three-pass bead-in-slot weld and its critical validation using neutron and synchrotron diffraction residual stress measurements. Int J Solids Struct. 49:1045–1062.
   Web of Science ®Google Scholar
• Nguyen N, Ohta A, Matsuoka K, Suzuki N, Maeda Y. 1999. Analytical solutions for transient temperature of semi-infinite body subjected to 3D moving heat sources. Weld Res. 3:265s–274s.
   Google Scholar
• Pavelic V, Tanbakuchi R, Auyehara O. 1969. Experimental and computed temperature histories in gas tungsten arc welding of thin plates. Weld J Res Suppl. 48(7):295s–305s.
   Web of Science ®Google Scholar
• Price JW, Ziara-Paradowska A, Joshi S, Finlayson T, Semetay C, Nied H. 2008. Comparison of experimental and theoretical residual stresses in welds: the issue of gauge volume. Int J Mech Sci. 50(3):513–521.
   Web of Science ®Google Scholar
• Rosenthal D. 1941. Mathematical theory of heat distribution during welding and cutting. Weld J 20(5):220s–234s.
   Google Scholar
• Smith MC, Smith AC. 2009a. NeT bead-on-plate round robin: comparison of residual stress predictions and measurements. Int J Press Vessel Piping. 86:79–95.
   Web of Science ®Google Scholar
• Smith MC, Smith AC. 2009b. NeT bead-on-plate round robin: comparison of transient thermal predictions and measurements. Int J Press Vessel Piping. 86:96–109.
   Web of Science ®Google Scholar
• SYSWELD. 2006. Engineering guide of training and toolbox. France: ESI Group.
   Google Scholar
• Wang Y, Wang L, Di X, Shi Y, Bao X, Gao X. 2013. Simulation and analysis of temperature field for in-service multi-pass welding of a sleeve fillet weld. Comput Mater Sci. 68:198–205.
   Web of Science ®Google Scholar