| 研究生: |
吳佳軒 Wu, Chia-Hsuan |
|---|---|
| 論文名稱: |
自適應雷射熱源模型之發展以及圓形擺盪雷射鎖孔銲接之模擬 Development of an Adaptive Laser Heat Source Model and Simulation of Keyhole Laser Welding with Circular Oscillation |
| 指導教授: |
曾建洲
Tseng, Chien-Chou |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 機械工程學系 Department of Mechanical Engineering |
| 論文出版年: | 2023 |
| 畢業學年度: | 112 |
| 語文別: | 中文 |
| 論文頁數: | 101 |
| 中文關鍵詞: | 鎖孔銲接 、圓形擺盪銲接 、體熱源 、計算流體力學 、無因次參數 |
| 外文關鍵詞: | Keyhole welding, Circular Oscillation welding, Volumetric heat source, Computation Fluid Dynamics (CFD), Dimensionless parameters |
| 相關次數: | 點閱:100 下載:27 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
本研究利用OpenFOAM建立三維數值模型探討新型熱源模型對銲接熔池的流場狀況及成型,主要利用多相流模型以辨別熔池與空氣之交界面,而為了準確模擬出熔池的流動現象,模擬中加入反衝壓力(Recoil force)、馬倫格尼力(Marangoni force)、表面張力(Surface tension)於熔池中,以及使用固液化模型、蒸發潛熱模型以近似現實的雷射銲接,且在鎖孔(Keyhole)條件下雷射於鎖孔內部進行多重反射(Multiple reflections)的緣故,鎖孔下鑽越深會導致材料吸收越多的雷射能量,因此在模擬中使用的雷射吸收率不應該使用定值進行模擬。
在以往的研究中,雷射吸收率會因為金屬材料、工況而有所不同,本文章收集了許多實驗以及模擬中雷射吸收率與熔池深度之結果,將這些資料彙整並擬合出兩者關係的經驗曲線,並以此關係式套入本研究之計算,可以依照鎖孔之深度來決定出當下的雷射吸收率。本研究另開發一套自適應體熱源模型,對體熱源參數進行數值測試並且與無因次焓做擬合找出兩者之間的關係。進行數值實驗後發現雷射工況的Fo數 (Fourier number) 亦會影響熔池之尺寸,因此本研究將熔池尺寸對無因次焓以及Fo數進行統整。在這樣的歸納之下,後人可以免去對吸收率依照工況而變動,降低時間成本以及數值實驗即可利用此模擬預測直掃式雷射銲接之熔池寬度以及深度。除了直掃式雷射銲接之外,本研究也將擬合之體熱源參數套用至圓形擺盪型雷射銲接進行燒熔預測熔池尺寸後,認為此熱源模型亦能夠適用於該擺盪型式雷射銲接之模擬。
This study employs OpenFOAM to establish a three-dimensional numerical model to explore the flow field and formation of welding molten pools using a novel heat source model. The study primarily utilizes multiphase flow modeling to distinguish the interface between the molten pool and air. To accurately simulate the flow phenomena within the molten pool, the simulation incorporates recoil force, Marangoni force, and surface tension into the molten pool. Additionally, solidification and latent heat of evaporation models are used to approximate realistic laser welding conditions. Under keyhole conditions, multiple reflections of the laser within the keyhole lead to increased material absorption of laser energy as the keyhole is drilled deeper. Therefore, the simulation avoids using a constant laser absorption rate and adapts it based on the keyhole depth.
In previous research, laser absorption rates varied due to different metal materials and operating conditions. This study collects experimental and simulated results of laser absorption rates and molten pool depth, synthesizing this data to fit empirical curves that describe the relationship between the two. This relationship is incorporated into the calculations of the current study, allowing for the determination of laser absorption rates based on keyhole depth. The study introduces an adaptive volumetric heat source model, subjecting heat source parameters to numerical tests and fitting them with dimensionless enthalpy to establish their relationship. Through numerical experiments, it is discovered that the Fourier number of the laser condition also influences the size of the molten pool. Therefore, the study integrates molten pool size with dimensionless enthalpy and Fourier number.
This generalization enables future researchers to predict the width and depth of molten pools in straight-line laser welding without adjusting absorption rates based on operating conditions, thereby reducing time and cost in numerical experiments. Additionally, the heat source parameters fitted in this study are applied to predict molten pool size in circular oscillation-type laser welding, suggesting the applicability of this heat source model to simulations of such oscillation-type welding processes.
[1] S. Katayama, "Introduction: fundamentals of laser welding * *The content of this chapter has been reprinted with permission from the article ‘laser welding’ in the McGraw Hill Encyclopedia of Science & Technology, Vol. 9 (2012), pp. 707–714, written by Seiji Katayama. The author would like to express his gratitude to this company," in Handbook of Laser Welding Technologies, 2013, pp. 3-16.
[2] P. L. Busuttil, "Laser welding apparatus and method for high temperature gradient cooling alloys," ed: Google Patents, 1997.
[3] M. Kraetzsch, J. Standfuss, A. Klotzbach, J. Kaspar, B. Brenner, and E. Beyer, "Laser beam welding with high-frequency beam oscillation: welding of dissimilar materials with brilliant fiber lasers," in International Laser Safety Conference, 2011: AIP Publishing, pp. 169-178.
[4] Y. Ai, L. Yu, Y. Huang, and X. Liu, "The investigation of molten pool dynamic behaviors during the “∞” shaped oscillating laser welding of aluminum alloy," International Journal of Thermal Sciences, vol. 173, p. 107350, 2022.
[5] L. Wang, M. Gao, C. Zhang, and X. Zeng, "Effect of beam oscillating pattern on weld characterization of laser welding of AA6061-T6 aluminum alloy," Materials & Design, vol. 108, pp. 707-717, 2016.
[6] E. Assuncao and S. Williams, "Effect of material properties on the laser welding mode limits," Journal of Laser Applications, vol. 26, no. 1, 2014, doi: 10.2351/1.4826153.
[7] E. Assuncao, S. Williams, and D. Yapp, "Interaction time and beam diameter effects on the conduction mode limit," Optics and Lasers in Engineering, vol. 50, no. 6, pp. 823-828, 2012, doi: 10.1016/j.optlaseng.2012.02.001.
[8] D. B. Hann, J. Iammi, and J. Folkes, "A simple methodology for predicting laser-weld properties from material and laser parameters," Journal of Physics D: Applied Physics, vol. 44, no. 44, 2011, doi: 10.1088/0022-3727/44/44/445401.
[9] R. Rai, J. W. Elmer, T. A. Palmer, and T. DebRoy, "Heat transfer and fluid flow during keyhole mode laser welding of tantalum, Ti–6Al–4V, 304L stainless steel and vanadium," Journal of Physics D: Applied Physics, vol. 40, no. 18, pp. 5753-5766, 2007, doi: 10.1088/0022-3727/40/18/037.
[10] R. Lin, H.-p. Wang, F. Lu, J. Solomon, and B. E. Carlson, "Numerical study of keyhole dynamics and keyhole-induced porosity formation in remote laser welding of Al alloys," International Journal of Heat and Mass Transfer, vol. 108, pp. 244-256, 2017.
[11] Y. Yu, C. Wang, X. Hu, J. Wang, and S. Yu, "Porosity in fiber laser formation of 5A06 aluminum alloy," Journal of Mechanical Science and Technology, vol. 24, pp. 1077-1082, 2010.
[12] J. D. Madison and L. K. Aagesen, "Quantitative characterization of porosity in laser welds of stainless steel," Scripta Materialia, vol. 67, no. 9, pp. 783-786, 2012.
[13] Z. Gan et al., "Universal scaling laws of keyhole stability and porosity in 3D printing of metals," Nature communications, vol. 12, no. 1, p. 2379, 2021.
[14] D. Zhang, M. Wang, C. Shu, Y. Zhang, D. Wu, and Y. Ye, "Dynamic keyhole behavior and keyhole instability in high power fiber laser welding of stainless steel," Optics & Laser Technology, vol. 114, pp. 1-9, 2019, doi: 10.1016/j.optlastec.2019.01.018.
[15] R. Fabbro and K. Chouf, "Keyhole modeling during laser welding," Journal of Applied Physics, vol. 87, no. 9, pp. 4075-4083, 2000, doi: 10.1063/1.373033.
[16] L. Li et al., "Influence of scan paths on flow dynamics and weld formations during oscillating laser welding of 5A06 aluminum alloy," Journal of Materials Research and Technology, vol. 11, pp. 19-32, 2021, doi: 10.1016/j.jmrt.2020.12.102.
[17] C. Zhang, Y. Yu, C. Chen, X. Zeng, and M. Gao, "Suppressing porosity of a laser keyhole welded Al-6Mg alloy via beam oscillation," Journal of Materials Processing Technology, vol. 278, 2020, doi: 10.1016/j.jmatprotec.2019.116382.
[18] S. Li, G. Mi, and C. Wang, "A study on laser beam oscillating welding characteristics for the 5083 aluminum alloy: Morphology, microstructure and mechanical properties," Journal of Manufacturing Processes, vol. 53, pp. 12-20, 2020, doi: 10.1016/j.jmapro.2020.01.018.
[19] Z. Wang, J. P. Oliveira, Z. Zeng, X. Bu, B. Peng, and X. Shao, "Laser beam oscillating welding of 5A06 aluminum alloys: Microstructure, porosity and mechanical properties," Optics & Laser Technology, vol. 111, pp. 58-65, 2019, doi: 10.1016/j.optlastec.2018.09.036.
[20] Q. Wu, R. S. Xiao, J. L. Zou, and J. J. Xu, "Weld formation mechanism during fiber laser welding of aluminum alloys with focus rotation and vertical oscillation," Journal of Manufacturing Processes, vol. 36, pp. 149-154, 2018, doi: 10.1016/j.jmapro.2018.10.004.
[21] W. Tao and S. Yang, "Weld zone porosity elimination process in remote laser welding of AA5182-O aluminum alloy lap-joints," Journal of Materials Processing Technology, vol. 286, 2020, doi: 10.1016/j.jmatprotec.2020.116826.
[22] L. Wang, Y. Liu, C. Yang, and M. Gao, "Study of porosity suppression in oscillating laser-MIG hybrid welding of AA6082 aluminum alloy," Journal of Materials Processing Technology, vol. 292, 2021, doi: 10.1016/j.jmatprotec.2021.117053.
[23] F. Fetzer, M. Sommer, R. Weber, J.-P. Weberpals, and T. Graf, "Reduction of pores by means of laser beam oscillation during remote welding of AlMgSi," Optics and Lasers in Engineering, vol. 108, pp. 68-77, 2018.
[24] Z. Ren, D. Z. Zhang, G. Fu, J. Jiang, and M. Zhao, "High-fidelity modelling of selective laser melting copper alloy: Laser reflection behavior and thermal-fluid dynamics," Materials & Design, vol. 207, p. 109857, 2021.
[25] E. Li, L. Wang, A. Yu, and Z. Zhou, "A three-phase model for simulation of heat transfer and melt pool behaviour in laser powder bed fusion process," Powder Technology, vol. 381, pp. 298-312, 2021.
[26] S. Pang, W. Chen, J. Zhou, and D. Liao, "Self-consistent modeling of keyhole and weld pool dynamics in tandem dual beam laser welding of aluminum alloy," Journal of Materials Processing Technology, vol. 217, pp. 131-143, 2015.
[27] S. Pang, L. Chen, J. Zhou, Y. Yin, and T. Chen, "A three-dimensional sharp interface model for self-consistent keyhole and weld pool dynamics in deep penetration laser welding," Journal of Physics D: Applied Physics, vol. 44, no. 2, p. 025301, 2010.
[28] R. Jabeen, B. Cosson, A. C. A. Asséko, S. Verstraete, F. Desplentere, and C. H. Park, "Effect of fibre orientation on the light scattering during laser transmission welding," Journal of Manufacturing Processes, vol. 86, pp. 1-9, 2023.
[29] C. Deng, J. Kim, S. Oh, and H. Ki, "Electrodynamic simulation of energy absorption in laser keyhole welding of zinc-coated and uncoated steel sheets," Journal of Materials Processing Technology, vol. 231, pp. 412-421, 2016.
[30] C. Tang, K. Q. Le, and C. H. Wong, "Physics of humping formation in laser powder bed fusion," International Journal of Heat and Mass Transfer, vol. 149, p. 119172, 2020.
[31] J.-H. Cho and S.-J. Na, "Implementation of real-time multiple reflection and Fresnel absorption of laser beam in keyhole," Journal of Physics D: Applied Physics, vol. 39, no. 24, p. 5372, 2006.
[32] D. Wu, X. Hua, F. Li, and L. Huang, "Understanding of spatter formation in fiber laser welding of 5083 aluminum alloy," International Journal of Heat and Mass Transfer, vol. 113, pp. 730-740, 2017.
[33] J. Daligault, M. Dal, C. Gorny, F. Coste, and R. Fabbro, "Combination of Eulerian and ray-tracing approaches for copper laser welding simulation," Journal of Laser Applications, vol. 34, no. 4, 2022.
[34] W.-I. Cho, S.-J. Na, C. Thomy, and F. Vollertsen, "Numerical simulation of molten pool dynamics in high power disk laser welding," Journal of Materials Processing Technology, vol. 212, no. 1, pp. 262-275, 2012.
[35] M. Sohail, S.-W. Han, S.-J. Na, A. Gumenyuk, and M. Rethmeier, "Numerical investigation of energy input characteristics for high-power fiber laser welding at different positions," The International Journal of Advanced Manufacturing Technology, vol. 80, no. 5-8, pp. 931-946, 2015, doi: 10.1007/s00170-015-7066-6.
[36] J.-H. Cho and S.-J. Na, "Implementation of real-time multiple reflection and Fresnel absorption of laser beam in keyhole," Journal of Physics D: Applied Physics, vol. 39, no. 24, pp. 5372-5378, 2006, doi: 10.1088/0022-3727/39/24/039.
[37] T. R. Allen, W. Huang, J. R. Tanner, W. Tan, J. M. Fraser, and B. J. Simonds, "Energy-Coupling Mechanisms Revealed through Simultaneous Keyhole Depth and Absorptance Measurements during Laser-Metal Processing," Physical Review Applied, vol. 13, no. 6, 2020, doi: 10.1103/PhysRevApplied.13.064070.
[38] E. L. Li, L. Wang, A. B. Yu, and Z. Y. Zhou, "A three-phase model for simulation of heat transfer and melt pool behaviour in laser powder bed fusion process," Powder Technology, vol. 381, pp. 298-312, 2021, doi: 10.1016/j.powtec.2020.11.061.
[39] H. Ki, P. S. Mohanty, and J. Mazumder, "Multiple reflection and its influence on keyhole evolution," Journal of Laser Applications, vol. 14, no. 1, pp. 39-45, 2002, doi: 10.2351/1.1449885.
[40] J. Ye et al., "Energy Coupling Mechanisms and Scaling Behavior Associated with Laser Powder Bed Fusion Additive Manufacturing," Advanced Engineering Materials, vol. 21, no. 7, 2019, doi: 10.1002/adem.201900185.
[41] S. Oh, H. Kim, K. Nam, and H. Ki, "Deep-learning approach for predicting laser-beam absorptance in full-penetration laser keyhole welding," Opt Express, vol. 29, no. 13, pp. 20010-20021, Jun 21 2021, doi: 10.1364/OE.430952.
[42] T. Eagar and N. Tsai, "Temperature fields produced by traveling distributed heat sources," Welding journal, vol. 62, no. 12, pp. 346-355, 1983.
[43] P. R. d. F. Teixeira, D. B. d. Araújo, and L. A. B. d. Cunda, "Study of the gaussian distribution heat source model applied to numerical thermal simulations of TIG welding processes," 2014.
[44] A. Hozoorbakhsh, M. I. S. Ismail, and N. B. A. Aziz, "A computational analysis of heat transfer and fluid flow in high-speed scanning of laser micro-welding," International Communications in Heat and Mass Transfer, vol. 68, pp. 178-187, 2015.
[45] Y. Ai, P. Jiang, X. Shao, P. Li, and C. Wang, "A three-dimensional numerical simulation model for weld characteristics analysis in fiber laser keyhole welding," International Journal of Heat and Mass Transfer, vol. 108, pp. 614-626, 2017.
[46] T. Mukherjee, V. Manvatkar, A. De, and T. DebRoy, "Dimensionless numbers in additive manufacturing," Journal of Applied Physics, vol. 121, no. 6, 2017.
[47] M. S. Khan, S. Shahabad, M. Yavuz, W. Duley, E. Biro, and Y. Zhou, "Numerical modelling and experimental validation of the effect of laser beam defocusing on process optimization during fiber laser welding of automotive press-hardened steels," Journal of Manufacturing Processes, vol. 67, pp. 535-544, 2021.
[48] J. Goldak, A. Chakravarti, and M. Bibby, "A new finite element model for welding heat sources," Metallurgical transactions B, vol. 15, pp. 299-305, 1984.
[49] G. X. Xu, C. S. Wu, G. L. Qin, X. Y. Wang, and S. Y. Lin, "Adaptive volumetric heat source models for laser beam and laser + pulsed GMAW hybrid welding processes," The International Journal of Advanced Manufacturing Technology, vol. 57, no. 1-4, pp. 245-255, 2011, doi: 10.1007/s00170-011-3274-x.
[50] W. Ke, X. Bu, J. P. Oliveira, W. Xu, Z. Wang, and Z. Zeng, "Modeling and numerical study of keyhole-induced porosity formation in laser beam oscillating welding of 5A06 aluminum alloy," Optics & Laser Technology, vol. 133, 2021, doi: 10.1016/j.optlastec.2020.106540.
[51] G. Fu, J. Gu, M. I. Lourenco, M. Duan, and S. F. Estefen, "Parameter determination of double-ellipsoidal heat source model and its application in the multi-pass welding process," Ships and Offshore Structures, vol. 10, no. 2, pp. 204-217, 2014, doi: 10.1080/17445302.2014.937059.
[52] O. Champagne and X.-T. Pham, "Numerical simulation of moving heat source in arc welding using the Element-free Galerkin method with experimental validation and numerical study," International Journal of Heat and Mass Transfer, vol. 154, 2020, doi: 10.1016/j.ijheatmasstransfer.2020.119633.
[53] R. Hu, S. Pang, X. Chen, L. Liang, and X. Shao, "An octree-based adaptive mesh refinement method for three-dimensional modeling of keyhole mode laser welding," International Journal of Heat and Mass Transfer, vol. 115, pp. 258-263, 2017, doi: 10.1016/j.ijheatmasstransfer.2017.07.061.
[54] J. Y. Lee, S. H. Ko, D. F. Farson, and C. D. Yoo, "Mechanism of keyhole formation and stability in stationary laser welding," Journal of Physics D: Applied Physics, vol. 35, no. 13, p. 1570, 2002.
[55] H. Zhao, W. Niu, B. Zhang, Y. Lei, M. Kodama, and T. Ishide, "Modelling of keyhole dynamics and porosity formation considering the adaptive keyhole shape and three-phase coupling during deep-penetration laser welding," Journal of Physics D: Applied Physics, vol. 44, no. 48, 2011, doi: 10.1088/0022-3727/44/48/485302.
[56] H. L. Wei, Y. Cao, W. H. Liao, and T. T. Liu, "Mechanisms on inter-track void formation and phase transformation during laser Powder Bed Fusion of Ti-6Al-4V," Additive Manufacturing, vol. 34, 2020, doi: 10.1016/j.addma.2020.101221.
[57] Y. Xu et al., "Numerical Simulation in the Melt Pool Evolution of Laser Powder Bed Fusion Process for Ti6Al4V," Materials (Basel), vol. 15, no. 21, Oct 28 2022, doi: 10.3390/ma15217585.
[58] H. Z. C. a. C. C. Tseng, "Numerical simulation of keyhole study in laser welding," 2021.
[59] M. Courtois, M. Carin, P. Le Masson, S. Gaied, and M. Balabane, "A complete model of keyhole and melt pool dynamics to analyze instabilities and collapse during laser welding," Journal of Laser applications, vol. 26, no. 4, 2014.
[60] W. Z. P. a. C. C. Tseng, "Investigation of Keyhole Dynamic for Laser Welding by Reflection Model," 2023.
[61] N. Matsumoto, Y. Kawahito, M. Mizutani, and S. Katayama, "Laser absorption in high-power fiber laser welding of stainless steel and aluminum alloy," in International Congress on Applications of Lasers & Electro-Optics, 2008, vol. 2008, no. 1: Laser Institute of America, p. 707.
[62] N. Pierron, P. Sallamand, and S. Matteï, "Study of magnesium and aluminum alloys absorption coefficient during Nd: YAG laser interaction," Applied Surface Science, vol. 253, no. 6, pp. 3208-3214, 2007.
[63] L. Guo et al., "Understanding keyhole induced-porosities in laser powder bed fusion of aluminum and elimination strategy," International Journal of Machine Tools and Manufacture, vol. 184, p. 103977, 2023.
[64] K. C. Mills, Recommended values of thermophysical properties for selected commercial alloys. Woodhead Publishing, 2002.
[65] J. Zhou, H.-L. Tsai, and P.-C. Wang, "Transport phenomena and keyhole dynamics during pulsed laser welding," 2006.
[66] T. DebRoy, P. W. Fuerschbach, X. He, and J. T. Norris, "Understanding metal vaporizaiton from laser welding," Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA …, 2003.
[67] X. He, T. DebRoy, and P. W. Fuerschbach, "Alloying element vaporization during laser spot welding of stainless steel," Journal of Physics D: Applied Physics, vol. 36, no. 23, pp. 3079-3088, 2003, doi: 10.1088/0022-3727/36/23/033.
[68] W. Tan, N. S. Bailey, and Y. C. Shin, "Investigation of keyhole plume and molten pool based on a three-dimensional dynamic model with sharp interface formulation," Journal of Physics D: Applied Physics, vol. 46, no. 5, 2013, doi: 10.1088/0022-3727/46/5/055501.
[69] E. A. Brandes and G. Brook, Smithells metals reference book. Elsevier, 2013.
[70] W. M. Haynes, CRC handbook of chemistry and physics. CRC press, 2014.
[71] A. Mannucci et al., "Pure vanadium insert for efficient joining of Ti6Al4V to 316L stainless steel with continuous Yb: YAG laser," in Lasers in Manufacturing Conference, 2019.
[72] S. Dahal, "Comparative Analysis on Dissimilar Laser Welding of Ti6AL4V and Ni-Ti with Vanadium and Niobium Interlayer," Youngstown State University, 2023.
[73] G. Pottlacher, T. Hüpf, B. Wilthan, and C. Cagran, "Thermophysical data of liquid vanadium," Thermochimica Acta, vol. 461, no. 1-2, pp. 88-95, 2007, doi: 10.1016/j.tca.2006.12.010.
[74] M. Miyagi and X. Zhang, "Investigation of laser welding phenomena of pure copper by x-ray observation system," Journal of Laser Applications, vol. 27, no. 4, 2015.
[75] X. Chen, S. Pang, X. Shao, C. Wang, J. Xiao, and P. Jiang, "Three-dimensional transient thermoelectric currents in deep penetration laser welding of austenite stainless steel," Optics and Lasers in Engineering, vol. 91, pp. 196-205, 2017.
[76] P. Xia et al., "Prediction of weld shape for fiber laser keyhole welding based on finite element analysis," The International Journal of Advanced Manufacturing Technology, vol. 75, pp. 363-372, 2014.
[77] A. Hozoorbakhsh, M. Hamdi, A. A. D. M. Sarhan, M. I. S. Ismail, C.-Y. Tang, and G. C.-P. Tsui, "CFD modelling of weld pool formation and solidification in a laser micro-welding process," International Communications in Heat and Mass Transfer, vol. 101, pp. 58-69, 2019.
[78] Y. Feng et al., "Simulation and experiment for dynamics of laser welding keyhole and molten pool at different penetration status," The International Journal of Advanced Manufacturing Technology, vol. 112, pp. 2301-2312, 2021.
[79] J. Sun, P. Nie, K. Feng, Z. Li, B. Guo, and E. Jiang, "The elimination of pores in laser welds of AISI 304 plate using different shielding gases," Journal of Materials Processing Technology, vol. 248, pp. 56-63, 2017.
[80] X. Xiao, X. Liu, M. Cheng, and L. Song, "Towards monitoring laser welding process via a coaxial pyrometer," Journal of Materials Processing Technology, vol. 277, p. 116409, 2020.
[81] M. Akbari, S. Saedodin, A. Panjehpour, M. Hassani, M. Afrand, and M. J. Torkamany, "Numerical simulation and designing artificial neural network for estimating melt pool geometry and temperature distribution in laser welding of Ti6Al4V alloy," Optik, vol. 127, no. 23, pp. 11161-11172, 2016.
[82] M. Akbari, S. Saedodin, D. Toghraie, R. Shoja-Razavi, and F. Kowsari, "Experimental and numerical investigation of temperature distribution and melt pool geometry during pulsed laser welding of Ti6Al4V alloy," Optics & Laser Technology, vol. 59, pp. 52-59, 2014.
[83] L. Wang, M. Gao, and X. Zeng, "Experiment and prediction of weld morphology for laser oscillating welding of AA6061 aluminium alloy," Science and Technology of Welding and Joining, vol. 24, no. 4, pp. 334-341, 2018, doi: 10.1080/13621718.2018.1551853.
[84] I. Hernando, J. I. Arrizubieta, A. Lamikiz, and E. Ukar, "Laser beam welding analytical model when using wobble strategy," International Journal of Heat and Mass Transfer, vol. 149, 2020, doi: 10.1016/j.ijheatmasstransfer.2019.119248.
[85] S. J. Wolff et al., "Experimentally validated predictions of thermal history and microhardness in laser-deposited Inconel 718 on carbon steel," Additive Manufacturing, vol. 27, pp. 540-551, 2019.
[86] G. L. Knapp, N. Raghavan, A. Plotkowski, and T. Debroy, "Experiments and simulations on solidification microstructure for Inconel 718 in powder bed fusion electron beam additive manufacturing," Additive Manufacturing, vol. 25, pp. 511-521, 2019.
[87] Y. Lee and D. Farson, "Surface tension-powered build dimension control in laser additive manufacturing process," The International Journal of Advanced Manufacturing Technology, vol. 85, pp. 1035-1044, 2016.
[88] B. Y. Z. a. C.C.Tseng, "Numerical Simulation of the Keyhole Laser Welding Process with Circular Oscillation," 2021.