Effects of Static Magnetic Field on the Microstructure of Selective Laser Melted Inconel 625 Superalloy: Numerical and Experiment Investigations
Abstract
:1. Introduction
2. Experimental Methods
3. Numerical Modeling
3.1. Modeling of Molten Pool and Dendrite of SLM
3.2. Governing Equations and Boundary Conditions
3.2.1. Molten Pool-Scale Model
- (a)
- The flow field within the molten metal is assumed to be Newtonian and incompressible.
- (b)
- The complex shape and distribution of powders are ignored, and the powder layer is assumed to be flat.
- (c)
3.2.2. Dendrite-Scale Model
3.3. Material Properties
4. Results and Discussion
4.1. Validation of the Numerical Model
4.2. Microstructure and Laves Phase
4.3. Numerical Analysis of Molten Pool Dynamics
4.4. TEMF on the Interdendritic Region
5. Conclusions
- From comparison of simulation results and experimental results, the size of the molten pool of the simulation results is in good agreement with the experimental results. Meanwhile, the dendrite size obtained in the experiment is employed for setting up the dendrite geometry in the dendrite numerical simulation;
- From the simulation results of the molten pool, the dimension of the molten pool, the flow field, and the temperature field do not have an obvious change under the influence of the Lorentz force;
- From the simulation results of dendrites, dendrites in different areas are affected by the TEMF of different directions because the direction of the magnetic field and the TEMF is about 107~108 N/m3. Dendrites in different parameters of SLM suffered from TEMF because SLM will generate different temperature gradients. TEMF is strengthened with the increase in temperature gradient and intensity of the magnetic field;
- From the experimental results of SEM, the dendrite was broken and CET will emerge under the influence of the TEMF in the solid phase. The simulation shows that the thermoelectric current is highest at the solid–liquid interface, resulting in a maximum TEMF at the solid–liquid interface, and, as a result, this affects the dendrite morphology and promotes CET, which is also shown in the experiment results under 0.1 T;
- The distribution of the Laves phase is more uniform under a magnetic field than that without a magnetic field, since the Laves phase precipitates along the grain boundary. From the experimental results of EDS analysis, Nb precipitation reduces from 8.65% to 4.34% under an SMF of 0.1 T.
Author Contributions
Funding
Institutional Review Board Statement
Data Availability Statement
Conflicts of Interest
References
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Parameters | Value | Unit |
Density ρ | 8440 | kg/m3 |
Solidus temperature Ts | 1528 | K |
Liquidus temperature Tl | 1610 | K |
Latent heat of fusion ΔHv | 227,000 | J/kg |
Thermal conductivity in solid-state ks | 5.331 + 0.015 × T | W/(m·K) |
Thermal conductivity in liquid state kl | 30.05 | W/(m·K) |
Electrical conductivity in solid-state σs | 0.75 × 106 | Ώ−1·m−1 |
Electrical conductivity in liquid stat σl | 0.67 × 106 | Ώ−1·m−1 |
Specific heat capacity in solid Cp(Ts) | 600 | J/(kg·K) |
Specific heat capacity in liquid Cp(Tl) | 775 | J/(kg·K) |
dγ/dt | −0.1 × 10−3 | N/(m·K) |
Radiation emissivity ε | 0.7 | 1 |
Viscosity μ | 0.2 − 2.7 × 10−4 × T + 7.8 × 10 − 8 × T2 | Pa·s |
Seebeck coefficient in solid Ss | −10.95 | μV/K |
Seebeck coefficient in liquid Sl | −16 | μV/K |
Magnetic Field | Dimension | Experiment | Simulation | Error |
---|---|---|---|---|
0 T | Width | 89 ± 4 μm | 93 μm | 4.5% |
Depth | 79 ± 3 μm | 85 μm | 7.6% | |
0.1 T | Width | 91 ± 5 μm | 94 μm | 3.3% |
Depth | 82 ± 3 μm | 85 μm | 3.7% |
Magnetic Field | 0 T | 0.1 T | ||||||
---|---|---|---|---|---|---|---|---|
Component | Matrix | Laves | Matrix | Laves | ||||
Spectrum Label | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
C | 8.06 | 5.86 | 11.56 | 11.30 | 4.89 | 5.11 | 8.39 | 7.72 |
Si | 0.70 | 0.00 | 1.21 | 0.89 | 0.62 | 0.61 | 0.75 | 0.72 |
Cr | 20.64 | 21.28 | 18.30 | 18.41 | 20.84 | 20.73 | 19.46 | 19.81 |
Ni | 58.40 | 61.69 | 52.40 | 51.86 | 61.37 | 61.83 | 57.25 | 58.40 |
Nb | 3.38 | 2.81 | 6.37 | 8.65 | 3.58 | 3.46 | 5.00 | 4.34 |
Mo | 8.82 | 8.37 | 10.17 | 8.88 | 8.70 | 8.25 | 9.15 | 9.00 |
Total | 100.00 | 100.00 | 100.00 | 100.00 | 100.00 | 100 | 100.00 | 100.00 |
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Zhu, W.; Yu, S.; Chen, C.; Shi, L.; Xu, S.; Shuai, S.; Hu, T.; Liao, H.; Wang, J.; Ren, Z. Effects of Static Magnetic Field on the Microstructure of Selective Laser Melted Inconel 625 Superalloy: Numerical and Experiment Investigations. Metals 2021, 11, 1846. https://doi.org/10.3390/met11111846
Zhu W, Yu S, Chen C, Shi L, Xu S, Shuai S, Hu T, Liao H, Wang J, Ren Z. Effects of Static Magnetic Field on the Microstructure of Selective Laser Melted Inconel 625 Superalloy: Numerical and Experiment Investigations. Metals. 2021; 11(11):1846. https://doi.org/10.3390/met11111846
Chicago/Turabian StyleZhu, Wanli, Sheng Yu, Chaoyue Chen, Ling Shi, Songzhe Xu, Sansan Shuai, Tao Hu, Hanlin Liao, Jiang Wang, and Zhongming Ren. 2021. "Effects of Static Magnetic Field on the Microstructure of Selective Laser Melted Inconel 625 Superalloy: Numerical and Experiment Investigations" Metals 11, no. 11: 1846. https://doi.org/10.3390/met11111846