Joining of dissimilar metals involves a number of scientific issues, the modelling of which offers unique challenges. This review discusses the complexities in different joining processes and dissimilar combinations, and the corresponding computational techniques that have the potential to address the same. Future directions in modelling at both macroscopic and microscopic scales are also suggested.
OttinoJM: ‘The kinematics of mixing: stretching, chaos and transport (Cambridge texts in applied mathematics)’; 1989, London, Cambridge University Press.
4.
DuttaP, ChevrayR: ‘Inertial effects in chaotic mixing with diffusion’, J. Fluid Mech., 1995, 285, 1–16.
5.
ArghodeVK, KumarA, SundarrajS, DuttaP: ‘Computational modelling of GMAW process for joining dissimilar aluminum alloys’, Numer. Heat Transf. Part A: Applications, 2008, 53, (4), 432–455.
6.
ZachariaT, DavidSA, VitekJM, DebroyT: ‘Weld pool development during GTA and laser beam welding of type 304 stainless steel, Part II – experimental correlation’, Weld. Res. Suppl., 1989, 510s–519s.
7.
PaulA, DebRoyT: Metall. Trans. B, 1988, 19B, 851–858.
8.
ChanC, MazumderJ, ChenMM: Metall. Trans. A, 1984, 15A, 2175–2184.
9.
WangY, TsaiHL: ‘Effects of surface active elements on weld pool fluid flow and weld penetration in gas metal arc welding’, Metall. Mater. Trans. B, 2001, 32B, 501–515.
10.
BrentAD, VollerVR, RiedKJ: ‘Enthalpy-porosity technique for modeling convection-diffusion phase change: application to the melting of a pure metal’, Numer. Heat Transf., 1988, 13, 297–318.
11.
PhanikumarG, DuttaP, ChattopadhyayK: ‘Computational modeling of laser welding of Cu-Ni dissimilar couple’, Metall. Mater. Trans. B, 2004, 35B, 339–350.
12.
PhanikumarG: ‘Experimental and computational studies on laser processing of dissimilar metals’, PhD thesis, Indian Institute of Science, Bangalore, India, 2002.
13.
HirtCW, NicholsBD: ‘Volume of fluid (VOF) method for the dynamics of free boundaries’, J. Comput. Phys., 1981, 39, 201–225.
14.
ChungFK, WeiPS: ‘Mass, momentum and energy transport in a molten pool when welding dissimilar metals’, J. Heat Transf. – Trans. ASME, 1999, 121, 451–461.
15.
WeiPS, ChungFK: ‘Unsteady Marangoni flow in a molten pool when welding dissimilar metals’, Metall. Mater. Trans. B, 2000, 31B, 1387–1403.
16.
PatankarSV: ‘Numerical heat transfer and fluid flow’; 2000, Washington DC, Hemisphere Publication.
17.
SussmanM, SmerekaP, OsherS: J. Comput. Phys., 1994, 114, 146.
18.
TomashchukI, SallamandP, JouvardJM, GreveyD: ‘The simulation of morphology of dissimilar copper–steel electron beam welds using level set method’, Comput. Mater. Sci., 2010, 48, 827–836.
19.
BrackbillJU, KotheDB, ZemachC: ‘A continuum method for modelling surface tension’, J. Comput. Phys., 1992, 100, 335–354.
20.
HerfurthH, WitteR, HeinemanS: ‘Microjoining of dissimilar materials for life science applications’, Proc. SPIE –Int. Soc. Optical Eng., 2003, 5063, 292–296.
21.
MahmoodT, MianA, AminMR, AunerG, WitteR, HerfurthH, NewazG: ‘Finite element modeling of transmission laser microjoining process’, J. Mater. Process. Technol., 2007, 186, 37–44.
22.
ChenSH, LiLQ, ChenYB, LiuDJ: ‘Si diffusion behavior during laser welding-brazing of Al alloy and Ti alloy with Al-12Si filler wire’, Trans. Nonferrous Met. Soc. China, 2010, 20, 64–70.
23.
AndreuxJ, DezellusO, BosseletF, VialaJC: ‘Low temperature interface reaction between titanium and the eutectic silver – copper brazing alloy’, J. Phase Equilib. Diffus., 2009, 30, 40–45.
24.
LancasterJF: ‘The physics of welding’; 1984, Elmsford, NY, International Institute of Welding, Pergamon Press.
25.
JaidiJ, DuttaP: ‘Modeling of transport phenomena in a gas metal arc welding process’, Numer. Heat Transf. Part A, 2001, 20, 543–562.
26.
GránásyL, PusztaiT, BörzsönyiT, TóthG, TegzeG, WarrenJA, DouglasJF: ‘Phase-field theory of crystal nucleation and polycrystalline growth – a review’, J. Mater. Res., 2006, 21, 309.
27.
ChatterjeeS, AbinandananTA, ChattopadhyayK: ‘Phase-field simulation of fusion interface events during solidification of dissimilar welds: effect of composition inhomogeneity’, Metall. Mater. Trans. A, 2008, 39A, 1638–1646.
28.
HodajF, DesrePJ: ‘Effect of a sharp gradient of concentration on nucleation of intermetallics at interfaces between polycrystalline layers’, Acta Mater., 1996, 44, 4485–4490.
