Analytical and Numerical Temperature Prediction in Direct Metal Deposition of Ti6Al4V
Abstract
:1. Introduction
2. Mathematical Modeling of the DMD Process
2.1. Numerical Modeling
2.2. Analytical Model
3. Material and Experiment
4. Results and Discussion
4.1. Surface and Subsurface Temperature
4.2. Cooling Rate Comparison
4.3. Sensitivity Analysis Based on the Analytical Model
4.3.1. Influence of the Laser Power
4.3.2. Influence of the Scanning Speed
5. Conclusions
Acknowledgments
Author Contributions
Conflicts of Interest
References
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Numerical Model | Analytical Model | |
---|---|---|
Material properties | temperature dependent | constant |
Assumption | fixed geometry | fixed geometry |
2D finite geometry | 2D semi infinite geometry no latent heat of fusion steady state assumption | |
Boundary conditions | radiation, convection and laser input | only the laser input |
Ti | Al | V | Fe | O | N | C | H |
---|---|---|---|---|---|---|---|
6.2 | 4.2 | 0.18 | 0.1 | 0.01 | 0.02 | 0.001 |
Symbol | Value | Unit | Name |
---|---|---|---|
T | K | temperature field | |
4400 [32] | kg/m | density | |
[500–800] [32] | J/(kg · K) | heat capacity | |
[5–35] [32] | W/(m · K) | thermal conductivity | |
[0–1] | 1 | liquid fraction | |
1823 | K | liquidus temperature | |
1773 | K | solidus temperature | |
25 | C | ambient temperature | |
J/kg | latent heat | ||
W/(m· K) | Stefan–Boltzmann constant | ||
24 [22] | convection coefficient | ||
1 | emissivity | ||
P | [200–400] | W | laser power |
I | W/m | laser heat flux | |
r | 70 | m | laser spot radius |
V | [0.2–0.4] | m/s | scanning speed |
A | 1 | laser absorption coefficient | |
1 | Absorptance of the workpiece | ||
B | 2 | 1 | Gaussian shape factor |
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De La Batut, B.; Fergani, O.; Brotan, V.; Bambach, M.; El Mansouri, M. Analytical and Numerical Temperature Prediction in Direct Metal Deposition of Ti6Al4V. J. Manuf. Mater. Process. 2017, 1, 3. https://doi.org/10.3390/jmmp1010003
De La Batut B, Fergani O, Brotan V, Bambach M, El Mansouri M. Analytical and Numerical Temperature Prediction in Direct Metal Deposition of Ti6Al4V. Journal of Manufacturing and Materials Processing. 2017; 1(1):3. https://doi.org/10.3390/jmmp1010003
Chicago/Turabian StyleDe La Batut, Benoit, Omar Fergani, Vegard Brotan, Markus Bambach, and Mohamed El Mansouri. 2017. "Analytical and Numerical Temperature Prediction in Direct Metal Deposition of Ti6Al4V" Journal of Manufacturing and Materials Processing 1, no. 1: 3. https://doi.org/10.3390/jmmp1010003