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Numerical simulation and experimental investigation of temperature distribution during the wire arc additive manufacturing (WAAM) process

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Abstract

Wire arc additive manufacturing (WAAM) has emerged as a notable technology in the past decade, characterized by its cost-effectiveness and high deposition rates for intricate part manufacturing, surpassing traditional processes. In this investigation, numerical simulations were executed to analyze the temperature distribution when constructing a mild steel rectangular wall on a substrate of the same material, employing the WAAM process as the WAAM-built parts are more susceptible to errors by adverse thermal gradients. Experiments were conducted to build mild steel rectangular walls and temperature data were recorded to validate the numerical outcomes. The experimental and numerical results were found to be in good agreement with less than 10% average error. The Interlayer temperature is observed to rise with the addition of each layer, attributed to the accumulation of heat. Substantial thermal gradients are identified in the lower layers in contrast to the upper layers following the formation of the top layers, owing to the gradual buildup of heat in these lower layers.

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Data availability

The data that support the findings of this study will be available from the corresponding author upon reasonable request.

Abbreviations

\(\rho\) :

Conducting medium density

\({C}_{p}\) :

Specific heat of the medium

\({k}_{x}\) :

Thermal conductivity in the x-direction

\({k}_{y}\) :

Thermal conductivity in the y-direction

\({k}_{z}\) :

Thermal conductivity in the z-direction

\(\dot{q}\) :

Rate of heat produced per unit volume

\(t\) :

Time

\(b\) :

Heat source width

\(c\) :

Heat source depth

\({n}_{x, }{n}_{y, }{n}_{z}\) :

Direction cosines of the normal to the surface

\(h\) :

Convective heat transfer coefficient

\({\sigma }_{{\text{st}}}\) :

Stephan’s Boltzmann constant

\({\varepsilon }_{r}\) :

The emissivity of the surface

\({T}_{0}\) :

Ambient temperature

\(\alpha\) :

Absorptivity

\({q}_{r}\) :

Heat flux function

\({f}_{f}\) :

The factor for distributing power to the front of the heat source

\({f}_{{\text{r}}}\) :

The factor for distributing power to the rear of the heat source

\({a}_{{\text{f}}}\) :

Frontal ellipsoid length

\({a}_{{\text{r}}}\) :

Rear ellipsoid length

\(Q\) :

Actual input energy

η :

Efficiency factor of Goldak heat-source model

References

  1. Chergui A, Villeneuve F, Béraud N, Vignat F (2022) Thermal simulation of wire arc additive manufacturing: a new material deposition and heat input modelling. Int J Interact Des Manuf 16:227–237. https://doi.org/10.1007/s12008-021-00824-7

    Article  Google Scholar 

  2. Zhao Y, Jia Y, Chen S et al (2020) Process planning strategy for wire-arc additive manufacturing: Thermal behavior considerations. Addit Manuf. https://doi.org/10.1016/j.addma.2019.100935

    Article  Google Scholar 

  3. Hejripour F, Binesh F, Hebel M, Aidun DK (2019) Thermal modeling and characterization of wire arc additive manufactured duplex stainless steel. J Mater Process Technol 272:58–71. https://doi.org/10.1016/j.jmatprotec.2019.05.003

    Article  Google Scholar 

  4. Stender ME, Beghini LL, Sugar JD et al (2018) A thermal-mechanical finite element workflow for directed energy deposition additive manufacturing process modeling. Addit Manuf 21:556–566. https://doi.org/10.1016/j.addma.2018.04.012

    Article  Google Scholar 

  5. Zhao XF, Wimmer A, Zaeh MF (2023) Experimental and simulative investigation of welding sequences on thermally induced distortions in wire arc additive manufacturing. Rapid Prototyp J 29:53–63. https://doi.org/10.1108/RPJ-07-2022-0244

    Article  Google Scholar 

  6. Alhakeem MM, Mollamahmutoglu M, Yilmaz O et al (2023) A deposition strategy for wire arc additive manufacturing based on temperature variance analysis to minimize overflow and distortion. J Manuf Process 85:1208–1220. https://doi.org/10.1016/j.jmapro.2022.11.006

    Article  Google Scholar 

  7. Zhao XF, Zapata A, Bernauer C et al (2023) Simulation of wire arc additive manufacturing in the reinforcement of a half-cylinder shell geometry. Materials (Basel). https://doi.org/10.3390/ma16134568

    Article  Google Scholar 

  8. Limousin M, Manokruang S, Vignat F et al (2023) Effect of temperature and substrate geometry on single aluminium weld bead geometry deposited by wire arc additive manufacturing: proposition of an experimental procedure. CIRP J Manuf Sci Technol 45:61–68. https://doi.org/10.1016/j.cirpj.2023.06.010

    Article  Google Scholar 

  9. Zani M, Montemurro M, Panettieri E, Marin P (2023) B-spline based metamodel of the thermal analysis of the wire arc additive manufacturing procesS. In: Proceedings of the Design Society. Cambridge University Press, pp 807–816

  10. Duan X, Li Q, Xie W, Yang X (2023) Wire arc metal additive manufacturing using pulsed arc plasma (PAP-WAAM) for effective heat management. J Mater Process Technol. https://doi.org/10.1016/j.jmatprotec.2022.117806

    Article  Google Scholar 

  11. Tongov M, Petkov V (2023) A thermal model for wire arc additive manufacturing. In: Vide. Tehnologija. Resursi—environment, technology, resources. Rezekne Higher Education Institution, pp 262–270

  12. Mishra V, Babu A, Schreurs R et al (2023) Microstructure estimation and validation of ER110S-G steel structures produced by wire and arc additive manufacturing. J Mater Res Technol 23:3579–3601. https://doi.org/10.1016/j.jmrt.2023.01.214

    Article  Google Scholar 

  13. Nagallapati V, Khare VK, Sharma A, Simhambhatla S (2023) Active and passive thermal management in wire arc additive manufacturing. Metals (Basel). https://doi.org/10.3390/met13040682

    Article  Google Scholar 

  14. Czipin M (2023) Parameter optimization study for the finite-element analysis of wire-arc additive manufacturing. Master thesis, Chair of Metal Forming 2023

  15. Kumar V, Singh A, Bishwakarma H, Mandal A (2023) simulation of metallic wire-arc additive manufacturing (WAAM) process using simufact welding software. J Manuf Eng 18:80–85

    Google Scholar 

  16. Ouyang J, Li M, Lian Y et al (2023) A fast prediction model for liquid metal transfer modes during the wire arc additive manufacturing process. Materials (Basel). https://doi.org/10.3390/ma16072911

    Article  Google Scholar 

  17. Feng G, Wang H, Wang Y et al (2022) Numerical simulation of residual stress and deformation in wire arc additive manufacturing. Crystals. https://doi.org/10.3390/cryst12060803

    Article  Google Scholar 

  18. Sandeep KJ, Teja PJ, Choudhary AK, Jain R (2022) Development of correlation between temperature, liquid life span, molten pool, and porosity during wire arc additive manufacturing: a finite element approach. CIRP J Manuf Sci Technol 38:274–287. https://doi.org/10.1016/j.cirpj.2022.05.002

    Article  Google Scholar 

  19. Ke WC, Oliveira JP, Cong BQ et al (2022) Multi-layer deposition mechanism in ultra high-frequency pulsed wire arc additive manufacturing (WAAM) of NiTi shape memory alloys. Addit Manuf. https://doi.org/10.1016/j.addma.2021.102513

    Article  Google Scholar 

  20. Ahmad SN, Manurung YH, Adenan MS et al (2022) Experimental validation of numerical simulation on deformation behaviour induced by wire arc additive manufacturing with feedstock SS316L on substrate S235. Int J Adv Manuf Technol 119:1951–1964. https://doi.org/10.1007/s00170-021-08340-4

    Article  Google Scholar 

  21. Shao A (2023) Modelling of the thermal history during submerged arc welding and wire and arc additive manufacturing. https://doi.org/10.7939/r3-xvw6-m346

  22. Goldak J, Chakravarti A, Bibby M (1984) A new finite element model for welding heat sources. Metall Trans B 15:299–305. https://doi.org/10.1007/BF02667333

    Article  Google Scholar 

  23. Tripathi U, Saini N, Mulik RS, Mahapatra MM (2022) Effect of build direction on the microstructure evolution and their mechanical properties using GTAW based wire arc additive manufacturing. CIRP J Manuf Sci Technol 37:103–109. https://doi.org/10.1016/j.cirpj.2022.01.010

    Article  Google Scholar 

  24. Biswas P, Mandal NR, Sha OP, Mahapatra MM (2011) Thermo-mechanical and experimental analysis of double pass line heating. J Mar Sci Appl 10:190–198. https://doi.org/10.1007/s11804-011-1059-0

    Article  Google Scholar 

  25. Tripathi U, Kumar A, Mahapatra MM, Mulik RS (2022) Mechanical and corrosion study of gas tungsten arc welding-based SS-304L wire arc additive manufacturing components, and the effect of sputtered (TiN) coating on their corrosion behavior. J Mater Eng Perform 31:10314–10331. https://doi.org/10.1007/s11665-022-07032-8

    Article  Google Scholar 

  26. Lundbäck A (2003) Finite element modelling and simulation of welding of aerospace components. https://www.diva-portal.org/smash/record.jsf?pid=diva2%3A990249

  27. Xiong J, Lei Y, Li R (2017) Finite element analysis and experimental validation of thermal behavior for thin-walled parts in GMAW-based additive manufacturing with various substrate preheating temperatures. Appl Therm Eng 126:43–52

    Article  Google Scholar 

  28. Sridharan N, Noakes MW, Nycz A, Love LJ, Dehoff RR, Babu SS (2018) On the toughness scatter in low alloy C-Mn steel samples fabricated using wire arc additive manufacturing. Mater Sci Eng A 713:18–27

    Article  Google Scholar 

  29. Morris Jr JW (2001) The influence of grain size on the mechanical properties of steel. Lawrence Berkeley National Laboratory. https://escholarship.org/uc/item/88g8n6f8

  30. Bera T, Mohanty S (2023) A review on residual stress in metal additive manufacturing. 3D Print Addit Manuf. https://doi.org/10.1089/3dp.2023.0095

    Article  Google Scholar 

  31. Yang KV, Shi Y, Palm F et al (2018) Columnar to equiaxed transition in Al-Mg(-Sc)-Zr alloys produced by selective laser melting. Scr Mater 145:113–117. https://doi.org/10.1016/j.scriptamat.2017.10.021

    Article  Google Scholar 

  32. Biscuola VB, Martorano MA (2008) Mechanical blocking mechanism for the columnar to equiaxed transition. Metall Mater Trans A Phys Metall Mater Sci 39:2885–2895. https://doi.org/10.1007/s11661-008-9643-x

    Article  Google Scholar 

  33. Rafieazad M, Ghaffari M, Vahedi Nemani A, Nasiri A (2019) Microstructural evolution and mechanical properties of a low-carbon low-alloy steel produced by wire arc additive manufacturing. Int J Adv Manuf Technol 105:2121–2134. https://doi.org/10.1007/s00170-019-04393-8

    Article  Google Scholar 

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Gupta, D.K., Mulik, R.S. Numerical simulation and experimental investigation of temperature distribution during the wire arc additive manufacturing (WAAM) process. Prog Addit Manuf (2024). https://doi.org/10.1007/s40964-024-00647-4

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