Abstract

A three-dimensional model describing melting and resolidification of direct metal laser sintering of loose powders on top of sintered layers with a moving Gaussian laser beam is developed. Natural convection in the liquid pool driven by buoyancy and Marangoni effects is taken into account. A temperature transforming model is employed to model melting and resolidification in the laser sintering process. The continuity, momentum, and energy equations are solved using a finite volume method. The effects of dominant processing parameters including number of the existing sintered layers underneath, laser scanning velocity, and initial porosity on the sintering process are investigated.

1.
Kruth
,
J. P.
, 1991, “
Material Ingress Manufacturing by Rapid Prototyping Techniques
,”
CIRP Ann.
0007-8506,
40
(
2
), pp.
603
614
.
2.
Hauser
,
C.
,
Childs
,
T. H. C.
,
Dalgarno
,
K. W.
, and
Eane
,
R. B.
, 1999, “
Atmospheric Control During Direct Selective Laser Sintering of Stainless Steel 314S Powder
,”
Proceedings of Solid Freeform Fabrication Symposium 1999
,
Austin, TX
, pp.
265
272
.
3.
Beaman
,
J. J.
,
Barlow
,
J. W.
,
Bourell
,
D. L.
,
Crawford
,
R. H.
,
Marcus
,
H. L.
, and
Mcalea
,
K. P.
, 1997,
Solid Freeform Fabrication: A New Direction in Manufacturing
,
Kluwer
,
Dordrecht
.
4.
Das
,
S.
,
Beaman
,
J. J.
,
Wohler
,
M.
, and
Bourell
,
D. L.
, 1998, “
Direct Laser Freeform Fabrication of High Performance Metal Components
,”
Rapid Prototyping J.
1355-2546,
4
(
3
), pp.
112
117
.
5.
Cheng
,
J.
, and
Kar
,
A.
, 1997, “
Mathematical Model for Laser Densification of Ceramic Coating
,”
J. Mater. Sci.
0022-2461,
32
, pp.
6269
6278
.
6.
Li
,
J. F.
,
Li
,
L.
, and
Stott
,
F. H.
, 2004, “
Comparison of Volumetric and Surface Heating Sources in the Modeling of Laser Melting of Ceramic Materials
,”
Int. J. Heat Mass Transfer
0017-9310,
47
, pp.
1159
1174
.
7.
Xie
,
J.
, and
Kar
,
A.
, 1996, “
Mathematical Modeling of Melting During Laser Materials Processing
,”
J. Appl. Phys.
0021-8979,
81
(
7
), pp.
3015
3022
.
8.
Chan
,
C. L.
,
Mazumdar
,
J.
, and
Chen
,
M. M.
, 1984, “
Two Dimensional Transient Model for Convection in Laser Melted Pool
,”
Metall. Trans. A
0360-2133,
15A
, pp.
2175
2184
.
9.
Kou
,
S.
, and
Wang
,
Y. H.
, 1986, “
Three Dimensional Convection in Laser Melted Pools
,”
Metall. Trans. A
0360-2133,
17A
, pp.
2265
2270
.
10.
Li
,
J. F.
,
Li
,
L.
, and
Stott
,
F. H.
, 2004, “
A Three Dimensional Numerical Model for A Convection-Diffusion Phase Change Process During Laser Melting of Ceramic Materials
,”
Int. J. Heat Mass Transfer
0017-9310,
47
, pp.
5523
5539
.
11.
Bunnell
,
D. E.
,
Das
,
S.
,
Bourell
,
D. L.
,
Beaman
,
J. B.
, and
Marcus
,
H. L.
, 1995, “
Fundamentals of Liquid Phase Sintering During Selective Laser Sintering
,”
Proceedings of the Solid Freeform Fabrication Symposium
,
The University of Texas at Austin
,
Austin, TX
, pp.
440
447
.
12.
Tolochko
,
N. K.
,
Mozzharov
,
S. E.
,
Sobolenko
,
N. V.
,
Yadroitsev
,
I. A.
,
Goryushkin
,
V. I.
, and
Dubovets
,
V. S.
, 1996, “
Problems and Prospects of Selective Layer-by-Layer Laser Sintering of Powders
,”
Powder Metall. Met. Ceram.
1068-1302,
34
(
3–4
), pp.
142
145
.
13.
Tolochko
,
N. K.
,
Mozzharov
,
S. E.
,
Laoui
,
T.
, and
Froyen
,
L.
, 2003, “
Selective Laser Sintering of Single- and Two-Component Metal Powders
,”
Rapid Prototyping J.
1355-2546,
9
(
2
), pp.
68
78
.
14.
Tolochko
,
N. K.
,
Mozzharov
,
S. E.
, and
Sobolenko
,
N. V.
, 1995, “
Main Relationship Governing Laser Sintering of Loose Single-Component Metallic Powders
,”
J. Adv. Mater.
1070-9789,
2
(
2
), pp.
151
157
.
15.
Agarwala
,
M.
,
Bourell
,
D.
,
Beaman
,
J.
,
Marcus
,
H.
, and
Barlow
,
J.
, 1995, “
Direct Selective Laser Sintering of Metals
,”
Rapid Prototyping J.
1355-2546,
1
(
1
), pp.
26
36
.
16.
Meiners
,
W.
,
Over
,
C.
,
Wissenbach
,
K.
, and
Poprawe
,
R.
, 1999, “
Directive Generation of Metal Parts and Tools by Selective Laser Powder Remelting
,”
Proceeding of Solid Freeform Fabrication Symposium 1999
, pp.
655
661
.
17.
Simichi
,
A.
,
Petzoldt
,
F.
, and
Pohl
,
H.
, 2001, “
Direct Metal Laser Sintering: Material Considerations and Mechanisms of Particle Bonding
,”
Int. J. Powder Metall.
0020-7535,
37
(
2
), pp.
49
61
.
18.
Morgan
,
R.
,
Sutcliffe
,
C. J.
, and
O'Neill
,
W.
, 2001, “
Experimental Investigation of Nanosecond Pulsed Nd:YAG Laser Re-Melted Pre-Placed Powder Beds
,”
Rapid Prototyping J.
1355-2546,
7
(
3
), pp.
159
172
.
19.
Pogson
,
S. R.
,
Fox
,
P.
,
Sutcliffe
,
C. J.
, and
Neill
,
W. O.
, 2003, “
The Production of Copper Parts Using DMLR
,”
Rapid Prototyping J.
1355-2546,
9
(
5
), pp.
334
343
.
20.
Xiao
,
B.
, and
Zhang
,
Y.
, 2007, “
Marangoni and Buoyancy Effects on Direct Metal Laser Sintering With a Moving Laser Beam
,”
Numer. Heat Transfer, Part A
1040-7782,
51
, pp.
715
733
.
21.
Zhang
,
Y.
, and
Faghri
,
A.
, 1999, “
Melting of a Subcooled Mixed Powder Bed with Constant Heat Flux Heating
,”
Int. J. Heat Mass Transfer
0017-9310,
42
, pp.
775
788
.
22.
Chen
,
T.
, and
Zhang
,
Y.
, 2006, “
Three-Dimensional Simulation of Selective Laser Sintering of a Two-Component Metal Powder Layer With Finite Thickness
,”
ASME J. Manuf. Sci. Eng.
1087-1357,
128
(
1
), pp.
299
306
.
23.
Xiao
,
B.
, and
Zhang
,
Y.
, 2006, “
Partial Melting and Resolidification of Metal Powder in Selective Laser Sintering
,”
J. Am. Inst. Electr. Eng.
0095-9804,
20
(
3
), pp.
439
448
.
24.
Eckert
,
E. R. G.
, and
Drake
,
R. M.
, 1972,
Analysis of Heat and Mass Transfer
,
McGraw-Hill
,
London
.
25.
Cao
,
Y.
, and
Faghri
,
A.
, 1990, “
A Numerical Analysis of Phase Change Problems Including Natural Convection
,”
ASME J. Heat Transfer
0022-1481,
112
, pp.
812
816
.
26.
Dutta
,
P.
,
Joshi
,
J.
, and
Janaswami
,
R.
, 1995, “
Thermal Modeling of GTAW Process With Non-Axisymmetric Boundary Conditions
,”
Numer. Heat Transfer, Part A
1040-7782,
27
, pp.
499
518
.
27.
Hadley
,
G. R.
, 1986, “
Thermal Conductivity of Packed Metal Powders
,”
Int. J. Heat Mass Transfer
0017-9310,
29
, pp.
909
920
.
28.
Patankar
,
S. V.
, 1980,
Numerical Heat Transfer and Fluid Flow
,
McGraw-Hill
,
New York
.
29.
Kim
,
W. H.
,
Fan
,
H. G.
, and
Na
,
S. J.
, 1997, “
Effect of Various Driving Forces on Heat and Mass Transfer in Arc Welding
,”
Numer. Heat Transfer, Part A
1040-7782,
32
, pp.
633
652
.
30.
Incropera
,
F. P.
, and
Dewitt
,
D. P.
, 2001,
Fundamentals of Heat and Mass Transfer
, 5th ed.,
Wiley
,
New York
.
You do not currently have access to this content.