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2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
Influence of Process Parameters on the Phase Transformation and Consequent Hardness Induced by
the LENSTM Process
Liang Wang, Sergio FelicelliCenter For Advanced Vehicular Systems
Mississippi State University
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
LENS (Laser Engineering Net Shaping Process) is a new rapid fabrication process
(Hofmeister et al., 1999)
The LENS process performing a single-line build
What is LENS?
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
• A variety of materials can be used:– Stainless Steel (SS410, SS316)– Ti-based alloy (Ti-6Al-4V)– Inconel, copper, aluminum, etc.
• Application:– Aerospace repair & overhaul– Rapid prototyping and 3D structure fabrication– Product development for aerospace, defense,
and medical markets, etc. • Advantages:
– Low cost & time saving – Enhanced design flexibility and automation– Highly localized heat-affected zone (HAZ)– Superior material properties (strength and
ductility)
Processing Blade
Processing Bar
Introduction
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
• The mechanical properties are dependent on the microstructure of the material, which in turn is a function of the thermal history of solidification.
• An understanding of the thermal behavior and phase transformation of the fabricated part during the LENS process is of special interest.
• Numerical simulation methods have the potential to provide detail information of the thermal behavior and phase transformation.
Introduction
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
• 3-D model to simulate 10-pass single build plate LENS deposition of 410 stainless steel (SS410) powder with SYSWELD finite element code.
• Predict the temperature distribution, cooling rate, phase proportions, and hardness
• Investigate the effect of process parameter (laser power, travel speed) on the phase transformation and consequent hardness.
• Study the porosity formation due to lack of laser power
Objectives
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
• Weld direction: Same direction for each pass.• Material properties of the deposited part and the substrate are the
same.
Geometry & Process ParametersProcess
parametersCase
ICase
IICase
III7.62
mm/s20
mm/s0.5 s
0.5 s
1 s
10 s
1.3 s
0.7 s
2 s
20 s
Laser beam travel velocity
2.5 mm/s
Moving time of the laser beam for each pass
4 s
Idle time of consecutive
layers deposition
1 s
Time to finish one layer
5 s
Total time to finish the part
50 s
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
• Thermal properties depend on the temperature, and the phase proportions.
Thermal Properties (SS410)
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
• A dense mesh was used for the plate and the contact area with the substrate, where higher thermal gradients are expected.
Number of nodes: 104,535Number of elements: 132,400Element size in the part: 0.1X0.1X0.1 mm3
Mesh Structure
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
• Modified heat conduction equation:
• The latent heat effects due to phase changes are modeled with the specific heat variation.
Mathematical Model
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
• Evolution equation for austenitic, ferritic-perlitic, and bainitic transformation of steels
Mathematical Model
• These functions can be obtained by comparison of the prediction provided by the model with experimental results (i.e. CCT diagram).
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
• Martensitic transformation by Koistinen-Marburger Law
Mathematical Model
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
• Dummy material method is applied to the element activation:
• Fixed mesh is used for the plate and substrate.
Element Activation Technique
M1: Deposited layers + substrate– Material with actual thermal properties and
phase transformationM2: Layer being deposited
– Material with actual thermal properties and starting with dummy phase
– Dummy phase → Austenite phase (T>Taus)
M3: Layer to be deposited– Material with dummy low thermal properties
and without phase transformation
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
• 3D Conical Gaussian Function
• Part of energy generated by the laser beam is lost before being absorbed by the part.
• Absorbed laser power is used in the calculation. The nominal laser power is calibrated by matching the predicted temperature profile with measured data.
Heat Source
rQ
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
• Initial condition
• Boundary condition on the bottom of the substrate
• Boundary conditions for all other surface
• As new layers are activated, the surfaces are increased and the boundary conditions are updated.
0)0,,,( TtzyxT ==
0)0,,( TzyxT == 0>tfor
( ) ( ) Laserrea QTTTThnTk ΩΩΩΩ −−+−=⋅∇ 44)( εσr
Initial and Boundary Conditions
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
Laser Power Distribution
0
0.5
1
1.5
2
2.5
0 2 4 6 8 10
Lase
r Pow
er In
tens
ity
Width (mm)Layer Number
Nom
inal
Las
er P
ower
(W)
200
300
400
500
600
700
800
1 2 3 4 5 6 7 8 9 10
2.5 mm/s
7.62 mm/s
20 mm/s
• Laser power is varied with the number of the layers
• For each layer, the laser power is varies from one side to another.
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
4 mm
• The calibration calculation is performed only for the deposition of the top layer (the 10th layer).• T0 = 600°C, Pabs = 100W, Pl = 275W, E = 36.4% (30-50%) (Unocic and DuPont, 2004)
Temperature distribution (2-D View)
Model Calibration
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
2.5 mm/s7.62 mm/s20.0 mm/s
Tem
pera
ture
(°C
)
Height (mm)
Temperature Distribution
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
V=2.5 mm/s
V=7.62 mm/s
V=20.0 mm/s
Molten Pool Size Distribution• One and a half layers
are melted for each pass
• Larger molten pool size for higher travel speed
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
7.62 mm/s 20 mm/s2.5 mm/s
Plate
Substrate
• Austenite distribution after the 10th layer is deposited• Higher laser travel speed results in more austenite, which transforms
to fresh martensite, providing more uniform hardness in the plate. • The yellow lines show the unmelted powder due to lack of laser power
at the beginning of each layer and the layers close to the substrate
• This indicates that porosity could be formed due to lack of fusion
Austenite Distribution
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
Martensite Distribution
2.5 mm/s 7.62 mm/s 20 mm/s
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
Defects of 410SS LENS MaterialTop
Bottom
• The top part of the sample has much less defects than that in the bottom.
• The defects occur at the interface of the consecutive layers
• The defects indicate that the powder is not fully melted due to the lack of fusion
• More defects present in the bottom are due to the large heat dissipation in the substrate.
2007 Annual Meeting; February 25-March 1, 2007 — Orlando, FL, USA
L. Wang and S. Felicelli @ TMS Conference, 2007
Conclusions
• A 3-D finite element model was developed to simulate the LENS deposition of a SS410 plate.
• This model predicts the temperature distribution, molten pool size, and volume fraction of the solid phases.
• Process parameter (laser power) was optimized to obtain steady molten pool size
• High laser travel speed may reduce the proportion of tempered martensite, and achieve more uniform microstructure and hardness distribution, however, it can lead to the presence of porosity due to lack of fusion.