A three-dimensional mathematical model was developed to investigate the effects of inclination angle of the coaxial nozzle on crystal growth pattern and microstructure formation during laser powder deposition of single-crystal superalloy. Detailed experiments with SX nickel-based superalloy were conducted to verify the computational results. Results show that the inclination of the coaxial nozzle in the longitudinal section of deposited bead has a predominant effect on solidification conditions and corresponding microstructure formation in molten pool. The inclination of coaxial nozzle from normal direction of depositing surface delays the stray grain formation while increases the melting depth of substrate. When the inclination of coaxial nozzle toward laser scanning direction reaches 45°, the height ratio of melting depth to stray grain region exceeds 1.0, which enhances capability of the total remelting of stray grain. The simulation results and experimentally observed microstructure agree well. With the optimized processing parameters, the epitaxial columnar dendrite can grows continuously in multi-layer laser powder deposition of single-crystal superalloy. These findings have some important implications for SX LPD repair processing.

1.
Babu
,
S.
,
S.
David
,
J.
Park
, and
J.
Vitek
: (
2004
)
Joining of nickel base superalloy single crystals
.
Science and Technology of Welding & Joining
, Vol.
9
. p.
1
12
.
2.
David
,
S.
,
J.
Vitek
,
S.
Babu
,
L.
Boatner
, and
R.
Reed
: (
1997
)
Welding of nickel base superalloy single crystals
.
Science and Technology of Welding & Joining
, Vol.
2
. p.
79
88
.
3.
Schlachter
,
W.
and
G.
Gessinger
: (
1990
)
High Temperature Materials for Power Engineering 1990
, eds.
E.
Bachelet
et al. p.
1
.
4.
Viswanathan
,
I.
,
D.
Gandy
, and
S.
Findlan
: (
2003
)
Power industry experiences surge in welding research
.
Welding Journal
, Vol.
82
. p.
40
43
.
5.
Gäumann
,
M.
,
C.
Bezencon
,
p.
Canalis
, and
W.
Kurz
: (
2001
)
Single-crystal laser deposition of superalloys: processing–microstructure maps
.
Acta materialia
, Vol.
49
. p.
1051
1062
.
6.
Flemings
,
M.C.
: (
1974
)
Solidification processing
.
Metallurgical Transactions
, Vol.
5
. p.
2121
2134
.
7.
Kurz
,
W.
and
D.J.
Fisher
: (
1986
)
Fundamentals of solidification
.
Trans Tech Publications Ltd
, Trans Tech House, 4711,
Aedermannsdorf, Switzerland
, 1986.
244
.
8.
Rappaz
,
M.
and
E.
Blank
: (
1986
)
Simulation of oriented dendritic microstructures using the concept of dendritic lattice
.
Journal of crystal growth
, Vol.
74
. p.
67
76
.
9.
Vitek
,
J.
,
S.
David
, and
L.
Boatner
: (
1997
)
Microstructural development in single crystal nickel base superalloy welds
.
Science and Technology of Welding & Joining
, Vol.
2
. p.
109
118
.
10.
Liu
,
W.
and
J.
DuPont
: (
2004
)
Effects of melt-pool geometry on crystal growth and microstructure development in laser surface-melted superalloy single crystals: Mathematical modeling of single-crystal growth in a melt pool (part I
).
Acta materialia
, Vol.
52
. p.
4833
4847
.
11.
Liu
,
W.
and
J.
DuPont
: (
2005
)
Effects of substrate crystallographic orientations on crystal growth and microstructure development in laser surface-melted superalloy single crystals. Mathematical modeling of single-crystal growth in a melt pool (Part II
).
Acta materialia
, Vol.
53
. p.
1545
1558
.
12.
Hunt
,
J.
: (
1984
)
Steady state columnar and equiaxed growth of dendrites and eutectic
.
Materials Science and Engineering
, Vol.
65
. p.
75
83
.
13.
Rappaz
,
M.
,
S.
David
,
J.
Vitek
, and
L.
Boatner
: (
1990
)
Analysis of solidification microstructures in Fe-Ni-Cr single-crystal welds
.
Metallurgical Transactions A
, Vol.
21
. p.
1767
1782
.
14.
Rappaz
,
M.
,
S.
David
,
J.
Vitek
, and
L.
Boatner
: (
1989
)
Development of microstructures in Fe− 15Ni− 15Cr single crystal electron beam welds
.
Metallurgical Transactions A
, Vol.
20
. p.
1125
1138
.
15.
Gäumann
,
M.
,
S.
Henry
,
F.
Cleton
,
J.D.
Wagniere
, and
W.
Kurz
: (
1999
)
Epitaxial laser metal forming: analysis of microstructure formation
.
Materials Science and Engineering: A
, Vol.
271
. p.
232
241
.
16.
Gäumann
,
M.
,
R.
Trivedi
, and
W.
Kurz
: (
1997
)
Nucleation ahead of the advancing interface in directional solidification
.
Materials Science and Engineering: A
, Vol.
226
. p.
763
769
.
17.
Anderson
,
T.
,
J.
DuPont
, and
T.
DebRoy
: (
2010
)
Origin of stray grain formation in single-crystal superalloy weld pools from heat transfer and fluid flow modeling
.
Acta Materialia
, Vol.
58
. p.
1441
1454
.
18.
Anderson
,
T.
,
J.
DuPont
, and
T.
DebRoy
: (
2010
)
Stray Grain Formation in Welds of Single-Crystal Ni-Base Superalloy CMSX-4
.
Metallurgical and Materials Transactions A
, Vol.
41
. p.
181
193
.
19.
Toyserkani
,
E.
,
A.
Khajepour
, and
S.
Corbin
: (
2003
)
Three-dimensional finite element modeling of laser cladding by powder injection: Effects of powder feedrate and travel speed on the process
.
Journal of Laser Applications
, Vol.
15
. p.
153
.
20.
Toyserkani
,
E.
,
A.
Khajepour
, and
S.
Corbin
: (
2004
)
3-D finite element modeling of laser cladding by powder injection: effects of laser pulse shaping on the process
.
Optics and Lasers in Engineering
, Vol.
41
. p.
849
867
.
21.
Qi
,
H.
,
J.
Mazumder
, and
H.
Ki
: (
2006
)
Numerical simulation of heat transfer and fluid flow in coaxial laser cladding process for direct metal deposition
.
Journal of applied physics
, Vol.
100
. p.
024903
024903
-11.
22.
He
X
and
Mazumder
J
: (
2007
)
Transport phenomena during direct metal deposition
.
Journal of Applied Physics
, Vol.
101
. p.
9
.
23.
He
,
X.
,
L.
Song
,
G.
Yu
, and
J.
Mazumder
: (
2011
)
Solute transport and composition profile during direct metal deposition with coaxial powder injection
.
Applied Surface Science.
24.
Wen
,
S.
and
Y.C.
Shin
: (
2010
)
Modeling of transport phenomena during the coaxial laser direct deposition process
.
Journal of Applied Physics
, Vol.
108
. p. 044908-
044908
9
.
25.
Han
,
L.
,
K.
Phatak
, and
F.
Liou
: (
2004
)
Modeling of laser cladding with powder injection
.
Metallurgical and Materials Transactions B
, Vol.
35
. p.
1139
1150
.
26.
Han
,
L.
,
K.M.
Phatak
, and
F.
Liou
: (
2005
)
Modeling of laser deposition and repair process
.
Journal of Laser Applications
, Vol.
17
. p.
89
.
27.
Peyre
.
P
,
Aubry
.
P
,
Fabbro
.
P
,
Neveu
.
P
, and
Longuet
.
A
: (
2008
)
Analytical and numerical modelling of the direct metal deposition laser process
.
Journal Applied of Physicals
, Vol.
41
. p.
10
.
28.
Liu
,
Z.
and
H.
Qi
: (
2014
)
Numerical Simulation of Transport Phenomena for a Double-Layer Laser Powder Deposition of Single-Crystal Superalloy
.
Metallurgical and Materials Transactions A
, Vol.
45
. p.
1903
1915
.
29.
Vitek
,
J.
: (
2005
)
The effect of welding conditions on stray grain formation in single crystal welds– theoretical analysis
.
Acta materialia
, Vol.
53
. p.
53
67
.
30.
Rappaz
,
M.
: (
1989
)
Modelling of microstructure formation in solidification processes
.
International Materials Reviews
, Vol.
34
. p.
93
124
.
This content is only available via PDF.
You do not currently have access to this content.