Skip to main content
Log in

Prediction model of part topography in curved surface inkjet 3D printing

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

Inkjet 3D printing using array nozzles allows efficient deposition of complex shapes on free-form surfaces. However, the slip of droplets on curved substrates and the flow of printing materials can cause edge collapse and poor surface morphology of curved multilayer printed parts. In this study, a part morphology prediction model for curved inkjet 3D printing is developed to predict the surface morphology of printed parts. First, from the perspective of computational fluid dynamics, a surface drop prediction model is formed to predict the slip and deposition patterns of ink droplets on curved substrates. The model calculates the spreading diameter of droplets and slip distance on curved surfaces based on the physical parameters of droplets, substrate roughness, and droplet impact angle. Then, based on the droplet slip distance and spreading diameter data obtained from the droplet drop prediction model, a multilayer stacking model for surface printing is established to predict the evolution of part height and contour shape in printing. After discretizing the print area, the morphology prediction of curved inkjet 3D printed parts is achieved by analytically modeling the physical processes such as droplet deposition, local ink flow, and solvent volatilization. Finally, multilayer printing experiments on a spherical surface are conducted to verify the accuracy of the prediction model. The results show that the predicted shape of the sample parts is in good agreement with the experimental results. The model provides a theoretical basis for the closed-loop control of surface inkjet 3D printing and printing defect compensation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Kawale SS, Jang I, Farandos NM, Kelsall GH (2022) Inkjet 3D-printing of functional layers of solid oxide electrochemical reactors: a review. React Chem Eng 7:1692–1712. https://doi.org/10.1039/D1RE00454A

    Article  Google Scholar 

  2. Farandos NM, Jang I, Alexander JC, Kelsall GH (2022) 3-D inkjet printed solid oxide electrochemical reactors III. Cylindrical pillared electrode microstructures. Electrochim Acta 426:140834. https://doi.org/10.1016/j.electacta.2022.140834

    Article  Google Scholar 

  3. Sui Y, Zorman CA (2020) Review—inkjet printing of metal structures for electrochemical sensor applications. J Electrochem Soc 167:037571. https://doi.org/10.1149/1945-7111/ab721f

    Article  Google Scholar 

  4. Ly M, Spinelli S, Hays S, Zhu D (2022) 3D printing of ceramic biomaterials. Eng Educ Regen 3:41–52. https://doi.org/10.1016/j.engreg.2022.01.006

    Article  Google Scholar 

  5. Rich SI, Lee S, Fukuda K, Someya T (2022) Developing the nondevelopable: creating curved-surface electronics from nonstretchable devices. Adv Mater 34:e2106683. https://doi.org/10.1002/adma.202106683

    Article  Google Scholar 

  6. Sui X, Downing JR, Hersam MC, Chen J (2021) Additive manufacturing and applications of nanomaterial-based sensors. Mater Today 48:135–154. https://doi.org/10.1016/j.mattod.2021.02.001

    Article  Google Scholar 

  7. Rich SI, Jiang Z, Fukuda K, Someya T (2021) Well-rounded devices: the fabrication of electronics on curved surfaces–a review. Mater Horiz 8:1926–1958. https://doi.org/10.1039/d1mh00143d

    Article  Google Scholar 

  8. Han X, Li J, Tang X, Li W, Zhao H, Yang L, Wang L (2022) Droplet bouncing: fundamentals, regulations, and applications. Small 18:e2200277. https://doi.org/10.1002/smll.202200277

    Article  Google Scholar 

  9. Srivastava T, Jena SK, Kondaraju S (2021) Droplet impact and spreading on inclined surfaces. Langmuir 37:13737–13745. https://doi.org/10.1021/acs.langmuir.1c02457

    Article  Google Scholar 

  10. Du J, Zhang Y, Min Q (2021) Numerical investigations of the spreading and retraction dynamics of viscous droplets impact on solid surfaces. Colloids Surf A Physicochem Eng Aspects 609:125649. https://doi.org/10.1016/j.colsurfa.2020.125649

    Article  Google Scholar 

  11. Xiao J, Pan F, Xia H, Zou S, Zhang H, George OA, Zhou F, Huang Y (2018) Computational study of single droplet deposition on randomly rough surfaces: surface morphological effect on droplet impact dynamics. Ind Eng Chem Res 57:7664–7675. https://doi.org/10.1021/acs.iecr.8b00418

    Article  Google Scholar 

  12. Wang L, Feng J, Dang T, Peng X (2021) Dynamics of oil droplet impacting and wetting on the inclined surfaces with different roughness. Int J Multiphase Flow 135:103501. https://doi.org/10.1016/j.ijmultiphaseflow.2020.103501

    Article  Google Scholar 

  13. Comminal R, Serdeczny MP, Pedersen DB, Spangenberg J (2018) Numerical modeling of the strand deposition flow in extrusion-based additive manufacturing. Addit Manuf 20:68–76. https://doi.org/10.1016/j.addma.2017.12.013

    Article  Google Scholar 

  14. Xia Huanxiong Lu, Jiacai DS, Tryggvason G (2018) Fully resolved numerical simulations of fused deposition modeling. part i: fluid flow. Rapid Prototyp J 24:463–476. https://doi.org/10.1108/RPJ-12-2016-0217

    Article  Google Scholar 

  15. Knapp GL, Mukherjee T, Zuback JS, Wei HL, Palmer TA, De A, DebRoy T (2017) Building blocks for a digital twin of additive manufacturing. Acta Mater 135:390–399. https://doi.org/10.1016/j.actamat.2017.06.039

    Article  Google Scholar 

  16. Guo Y, Mishra S (2016) A predictive control algorithm for layer-to-layer ink-jet 3D printing. In: 2016 American Control Conference (ACC), Boston, MA, USA, pp 833–838. https://doi.org/10.1109/ACC.2016.7525017

  17. Guo Y, Peters J, Oomen T, Mishra S (2017) Distributed model predictive control for ink-jet 3D printing. In: 2017 IEEE International Conference on Advanced Intelligent Mechatronics (AIM), Munich, Germany, pp 436–441. https://doi.org/10.1109/AIM.2017.8014056

  18. Guo Y, Peters J, Oomen T, Mishra S (2018) Control-oriented models for ink-jet 3D printing. Mechatronics 56:211–219. https://doi.org/10.1016/j.mechatronics.2018.04.002

    Article  Google Scholar 

  19. Lu L, Zheng J, Mishra S (2014) A model-based layer-to-layer control algorithm for ink-jet 3d printing. In: ASME 2014 Dynamic Systems and Control Conference(DSCC), San Antonio, Texas, USA, V002T35A001. https://doi.org/10.1115/DSCC2014-5914

  20. Lu L, Zheng J, Mishra S (2015) A layer-to-layer model and feedback control of ink-jet 3-d printing. IEEE ASME Trans Mechatron 20:1056–1068. https://doi.org/10.1109/TMECH.2014.2366123

  21. Wu Y, Chiu G (2019) Modeling height profile for drop-on-demand print of UV curable ink. In: Proceedings of the ASME 2019 Dynamic Systems and Control Conference, Park City, Utah, USA, V002T13A006. https://doi.org/10.1115/DSCC2019-9242

  22. Wu Y, Chiu G (2021) An improved model of height profile for drop-on-demand print of ultraviolet curable ink. Control 1:031010. https://doi.org/10.1115/1.4050012

    Article  Google Scholar 

  23. Wu Y, Chiu G (2021) An improved height difference based model of height profile for drop-on-demand 3D printing with UV curable ink. In: 2021 American Control Conference (ACC), New Orleans, LA, USA, pp 491–495. https://doi.org/10.23919/ACC50511.2021.9483241

Download references

Funding

This work was supported by the National Natural Science Foundation of China [Grant 52035010], Shaanxi Key Industry Chain Project [grant number 2020ZDLGY14-08], Shaanxi Innovation Team Project [grant number 2018TD-012], National 111 Project [grant number B14042], National Natural Science Foundation of China [grant number 52205411], Shaanxi Province Science and Technology Project Youth Fund [grant number 2022JQ-366], and National Defense Science and Technology Key Laboratory Fund [grant number 2022-JCJQ-LB-018].

Author information

Authors and Affiliations

Authors

Contributions

Bu Ping: methodology, writing—original draft, software, visualization. Jin Huang: conceptualization, writing—review and editing, resources, supervision. Fanbo Meng: conceptualization, writing—review and editing, supervision.

Corresponding authors

Correspondence to Jin Huang or Fanbo Meng.

Ethics declarations

Competing interests

The authors declare no competing interests.

Additional information

Publisher's note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary information

Below is the link to the electronic supplementary material.

Supplementary file1 (PDF 427 KB)

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ping, B., Huang, J. & Meng, F. Prediction model of part topography in curved surface inkjet 3D printing. Int J Adv Manuf Technol 127, 3371–3384 (2023). https://doi.org/10.1007/s00170-023-11736-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-023-11736-z

Keywords

Navigation