Skip to main content
Log in

Simulation of large-scale additive manufacturing process with a single-phase level set method: a process parameters study

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

Abstract

In this work, a numerical method is presented in order to simulate the deposition of molten polymer bead onto a substrate and its cooling down in the large-scale extrusion-based additive manufacturing process. The polymer flow is treated as a single-phase flow with a free surface. This method reduces the computation time without loss of accuracy as polymer behavior significantly dominates air behavior. The governing equations of the fluid motion are solved with the finite element method on moving mesh, whereas the free surface is captured based on the level set method on another fixed mesh. Since the free surface is captured “implicitly” by the zero level of the level set function, coalescence between filaments is well defined and naturally performed. Numerical algorithm and implementation method are described in detail. This model provides detailed information on the cooling process and the bonding formation during the molten polymer deposition process. The effects of control parameters (nozzle velocity, flow rate and extrusion temperature, etc.) on the final deformed shapes of the printed parts are investigated. And finally, the numerical result from 2D simulations is compared to optical micro-graphs of the longitudinal cross-section of the printed sample, which shows good agreement between numerical and experimental results.

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
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

Availability of data and materials

The manuscript has no associated data and materials.

References

  1. Ajinjeru C, Kishore V, Liu P, Lindahl J, Hassen AA, Kunc V, Post B, Love L, Duty C (2018) Determination of melt processing conditions for high performance amorphous thermoplastics for large format additive manufacturing. Add Manuf 21:125–132. https://doi.org/10.1016/j.addma.2018.03.004

    Article  Google Scholar 

  2. Amidror I (2002) Scattered data interpolation methods for electronic imaging systems: a survey. https://doi.org/10.1117/1.1455013

  3. Borish M, Post BK, Roschli A, Chesser PC, Love LJ, Gaul KT, Sallas M, Tsiamis N (2019) In-situ thermal imaging for single layer build time alteration in large- scale polymer additive manufacturing. In: Procedia manufacturing, vol 34. Elsevier B.V., pp 482–488. https://doi.org/10.1016/j.promfg.2019.06.202

  4. Brenken B, Barocio E, Favaloro A (2017) Experience, R.P.S.i.t.A.o., 2017, U.: Simulation of semi-crystalline composites in the extrusion deposition additive manufacturing process. Tech. rep

  5. Brenken B, Barocio E, Favaloro A, Kunc V, Pipes RB (2019) Development and validation of extrusion deposition additive manufacturing process simulations. Add Manuf 25(October 2018):218–226. https://doi.org/10.1016/j.addma.2018.10.041

    Article  Google Scholar 

  6. Chesser P, Post B, Roschli A, Carnal C, Lind R, Borish M, Love L (2019) Extrusion control for high quality printing on Big Area Additive Manufacturing (BAAM)systems. Add Manuf 28:445–455. https://doi.org/10.1016/j.addma.2019.05.020

    Article  Google Scholar 

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

    Article  Google Scholar 

  8. Compton BG, Post BK, Duty CE, Love L, Kunc V (2017) Thermal analysis of additive manufacturing of large-scale thermoplastic polymer composites. Add Manuf 17:77–86. https://doi.org/10.1016/j.addma.2017.07.006

    Article  Google Scholar 

  9. Cosson B, Asséko ACA (2019) Effect of the nozzle radiation on the fused filament fabrication process: Three-Dimensional numerical simulations and experimental investigation. J Heat Transfer, 141(8). https://doi.org/10.1115/1.4043674

  10. Costa SF, Duarte FM, Covas JA (2015) Thermal conditions affecting heat transfer in FDM/FFE: a contribution towards the numerical modelling of the process: This paper investigates convection, conduction and radiation phenomena in the filament deposition process. Virtual Phys Prototyp 10(1):35–46. https://doi.org/10.1080/17452759.2014.984042

    Article  Google Scholar 

  11. Costa SF, Duarte FM, Covas JA (2017) Estimation of filament temperature and adhesion development in fused deposition techniques. J Mater Process Technol 245:167–179. https://doi.org/10.1016/j.jmatprotec.2017.02.026

    Article  Google Scholar 

  12. D’Amico A, Peterson AM (2018) An adaptable FEA simulation of material extrusion additive manufacturing heat transfer in 3D. Add Manuf 21:422–430. https://doi.org/10.1016/j.addma.2018.02.021

    Article  Google Scholar 

  13. Du J, Wei Z, Wang X, Wang J, Chen Z (2016) An improved fused deposition modeling process for forming large-size thin-walled parts. J Mater Process Technol 234:332–341. https://doi.org/10.1016/j.jmatprotec.2016.04.005

    Article  Google Scholar 

  14. Duty CE, Kunc V, Compton B, Post B, Erdman D, Smith R, Lind R, Lloyd P, Love L. (2017) Structure and mechanical behavior of Big Area Additive Manufacturing (BAAM) materials. Rapid Prototyp J 23(1):181–189. https://doi.org/10.1108/RPJ-12-2015-0183

    Article  Google Scholar 

  15. Enright D, Fedkiw R, Ferziger J, Mitchell I (2002) A hybrid particle level set method for improved interface capturing. J Comput Phys 183(1):83–116. https://doi.org/10.1006/jcph.2002.7166

    Article  MathSciNet  MATH  Google Scholar 

  16. Gantois R, Cantarel A, Cosson B, Dusserre G, Felices JN, Schmidt F (2013) BEM-based models to simulate the resin flow at macroscale and microscale in LCM processes. Polymer Composites 34(8):1235–1244. https://doi.org/10.1002/pc.22531. https://hal.archives-ouvertes.fr/hal-01687314

    Article  Google Scholar 

  17. Kishore V, Ajinjeru C, Nycz A, Post B, Lindahl J, Kunc V, Duty C (2017) Infrared preheating to improve interlayer strength of big area additive manufacturing (BAAM) components. Add Manuf 14:7–12. https://doi.org/10.1016/j.addma.2016.11.008

    Article  Google Scholar 

  18. Li L, Bellehumeur C, Gu P (2002) Investigation of bond formation in FDM process 2002 international solid freeform fabrication symposium. https://doi.org/10.26153/tsw/4500

  19. Moreno Nieto D, Casal López V, Molina SI (2018) Large-format polymeric pellet-based additive manufacturing for the naval industry. Add Manuf 23:79–85. https://doi.org/10.1016/j.addma.2018.07.012

    Article  Google Scholar 

  20. Olsson E, Kreiss G (2005) A conservative level set method for two phase flow. J Comput Phys 210(1):225–246. https://doi.org/10.1016/j.jcp.2005.04.007

    Article  MathSciNet  MATH  Google Scholar 

  21. Olsson E, Kreiss G, Zahedi S (2007) A conservative level set method for two phase flow II. J Comput Phys 225(1):785–807. https://doi.org/10.1016/j.jcp.2006.12.027

    Article  MathSciNet  MATH  Google Scholar 

  22. Osher S, Fedkiw R (2003) Level set methods and dynamic implicit surfaces applied mathematical sciences, vol 153. Springer, New York. https://doi.org/10.1007/b98879

    Book  Google Scholar 

  23. Osher S, Sethian JA (1988) Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. J Comput Phys 79(1):12–49. https://doi.org/10.1016/0021-9991(88)90002-2

    Article  MathSciNet  MATH  Google Scholar 

  24. Roschli A, Gaul KT, Boulger AM, Post BK, Chesser PC, Love LJ, Blue F, Borish M (2019) Designing for big area additive manufacturing. Add Manuf 25:275–285. https://doi.org/10.1016/j.addma.2018.11.006

    Article  Google Scholar 

  25. Serdeczny MP, Comminal R, Pedersen DB, Spangenberg J (2018) Experimental validation of a numerical model for the strand shape in material extrusion additive manufacturing. Addit Manuf 24 (June):145–153. https://doi.org/10.1016/j.addma.2018.09.022

    Article  Google Scholar 

  26. Sethian JA (1996) A fast marching level set method for monotonically advancing fronts. Proc Natl Acad Sci USA 93(4):1591–1595. https://doi.org/10.1073/pnas.93.4.1591

    Article  MathSciNet  MATH  Google Scholar 

  27. Sethian JA (1999) Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science. Cambridge University Press. https://doi.org/10.2277/0521645573. http://hrcak.srce.hr/file/69388?origin=publicationDetail

  28. Shah J, Snider B, Clarke T, Kozutsky S, Lacki M, Hosseini A (2019) Large-scale 3D printers for additive manufacturing: design considerations and challenges. Int J Adv Manuf Technol 104(9-12):3679–3693. https://doi.org/10.1007/s00170-019-04074-6

    Article  Google Scholar 

  29. Shen H, Pan L, Qian J (2019) Research on large-scale additive manufacturing based on multi-robot collaboration technology. Addit Manuf 100906:30. https://doi.org/10.1016/j.addma.2019.100906

    Article  Google Scholar 

  30. Sun Q, Rizvi GM, Bellehumeur CT, Gu P (2008) Effect of processing conditions on the bonding quality of FDM polymer filaments. Rapid Prototyp J 14(2):72–80. https://doi.org/10.1108/13552540810862028

    Article  Google Scholar 

  31. Sussman M (1994) A level set approach for computing solutions to incompressible two-phase flow. J Comput Phys 114(1):146–159. https://doi.org/10.1006/jcph.1994.1155

    Article  MATH  Google Scholar 

  32. Sussman M, Almgren AS, Bell JB, Colella P, Howell LH, Welcome ML (1999) An adaptive level set approach for incompressible Two-Phase flows. J Comput Phys 148(1):81–124. https://doi.org/10.1006/jcph.1998.6106

    Article  MathSciNet  MATH  Google Scholar 

  33. Sussman M, Fatemi E (1999) Efficient, interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow. SIAM J Sci Comput 20(4):1165–1191. https://doi.org/10.1137/S1064827596298245

    Article  MathSciNet  MATH  Google Scholar 

  34. Sussman M, Puckett EG (2000) A Coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows. J Comput Phys 162(2):301–337. https://doi.org/10.1006/jcph.2000.6537

    Article  MathSciNet  MATH  Google Scholar 

  35. Thomas JP, Rodriguez JF (2000) Modeling the fracture strength between Fused-Deposition extruded roads 2000 international solid freeform fabrication symposium. https://doi.org/10.26153/tsw/2054

  36. Wang Z, Liu R, Sparks T, Liou F (2016) Large-scale deposition system by an industrial robot (I): Design of fused pellet modeling system and extrusion process analysis. 3D Printing and Add Manuf 3(1):39–47. https://doi.org/10.1089/3dp.2015.0029

    Article  Google Scholar 

  37. Xia H, Lu J, Dabiri S, Tryggvason G (2018) Fully resolved numerical simulations of fused deposition modeling. Part i: fluid flow. Rapid Prototyp J 24(2):463–476. https://doi.org/10.1108/RPJ-12-2016-0217

    Article  Google Scholar 

  38. Xia H, Lu J, Tryggvason G (2018) Fully resolved numerical simulations of fused deposition modeling. Part II – solidification, residual stresses and modeling of the nozzle. Rapid Prototyp J 24(6):973–987. https://doi.org/10.1108/RPJ-11-2017-0233

    Article  Google Scholar 

  39. Yardimci MA, Güçeri S (1996) Conceptual framework for the thermal process modelling of fused deposition. Rapid Prototyp J 2(2):26–31. https://doi.org/10.1108/13552549610128206

    Article  Google Scholar 

  40. Zhang J, Wang XZ, Yu WW, Deng YH (2017) Numerical investigation of the influence of process conditions on the temperature variation in fused deposition modeling. Mater Des 130:59–68. https://doi.org/10.1016/j.matdes.2017.05.040

    Article  Google Scholar 

  41. Zhang Y, Chou K (2008) A parametric study of part distortions in fused deposition modelling using three-dimensional finite element analysis. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 222(8):959–968. https://doi.org/10.1243/09544054JEM990

    Article  Google Scholar 

  42. Zhang Y, Chou YK (2006) 3D FEA simulations of fused deposition modeling process. In: Manufacturing science and engineering, parts a and b. ASME, pp 1121–1128. https://doi.org/10.1115/MSEC2006-21132

  43. Zhao L, Khuc H, Mao J, Liu X, Avital E (2018) One-layer particle level set method. Comput Fluids 170:141–156. https://doi.org/10.1016/j.compfluid.2018.04.009

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

The authors would like to acknowledge Dr. Sébastien Charlon for his support in preparing the 3D printing samples.

Funding

The authors received no financial support for the research, authorship, and/or publication of this article.

Author information

Authors and Affiliations

Authors

Contributions

Anh-Duc Le: conceptualization, methodology, software, resources, validation, formal analysis, investigation, writing–original draft. Benoît Cosson: methodology, investigation, validation, supervision, writing–review and editing. André Chateau Akué Asséko: supervision, writing–review editing

Corresponding author

Correspondence to Benoît Cosson.

Ethics declarations

Ethics approval

The manuscript has not been submitted or published anywhere. It will not be submitted elsewhere as well.

Competing interests

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Additional information

Publisher’s note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Le, AD., Cosson, B. & Asséko, A.C.A. Simulation of large-scale additive manufacturing process with a single-phase level set method: a process parameters study. Int J Adv Manuf Technol 113, 3343–3360 (2021). https://doi.org/10.1007/s00170-021-06703-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-021-06703-5

Keywords

Navigation