journal article·2025-01Open access

Study on the formation mechanism of viscoplastic line deposition for predicting filament width

Yifeng Yao, Qiang Gao, Kaicheng Yu, Lizi Qi, Zexue Lin, Jingfeng Xu, Yinze Li, Peng Zhang, Min Zhu, Lihua Lu

Materials & Design· Volume 249

Abstract

• Established a comprehensive simulation model for predicting the width of extrusion-based 3D printed Herschel-Bulkley filaments, validated experimentally. • The study analyzed the morphology, pressure–velocity field distribution, and contact line dynamics of filament formation in simulations to elucidated the influence of inertia, gravity, and surface tension on filament formation mechanism during printing. • High non-Newtonian Reynolds numbers during hydrogel ink extrusion cause “over-spreading” near the nozzle, with filaments gradually transitioning to equilibrium under surface tension and yield stress. • Bond values indicate the effect of gravity: higher values result in finer filaments printed upwards and coarser filaments printed downwards. • Surface tension and rheological characteristics govern filament width in low-speed, small-scale printing, with shear-thinning fluids’ outcomes dependent on K and τ y . Currently, all popular 3D printing inks exhibit Herschel-Bulkley (HB) fluid characteristics. However, the filament spreading, which reduces printing precision, decelerates the development of complex hydrogel models for engineered tissues or organs. In this study, a finite element model (FEM) is established to investigate the impact of processing and fluid parameters on the spreading of the HB inks. The non-dimensional numbers Re (ratio of inertia to viscosity) and Bo (ratio of gravity to surface tension) are used to analyze the influence of parameters on filament formation. When Re > 0.077 and Bo > 0.15, inertial and gravitational forces significantly alter the pressure gradient near the nozzle, thereby affecting the final spreading width of the filament. Additionally, when the spreading is dominated by surface tension, the ranges of rheological parameters of materials as well as the process parameters in 3D printing can be determined by Re and Bo . Under this parameter range, the error between predicted filament widths and that of the printed filament can be controlled to less than 6.7 %. The spreading of HB inks during printing is accurately predicted.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Additive Manufacturing and 3D Printing Technologies · 3D Printing in Biomedical Research · Nanofabrication and Lithography Techniques

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (50)

Show source-provided references
1. 3D bioprinting of functional tissue models for personalized drug screening and in vitro disease modeling10.1016/j.addr.2018.06.011 ↗
2. 3D Bioprinting for Organ Regeneration10.1002/adhm.201601118 ↗
3. Computational investigation of a 3D-printed skin substitute with orthotropy in mechanical property10.1016/j.compbiomed.2023.107536 ↗
4. A Generalizable Strategy for the 3D Bioprinting of Hydrogels from Nonviscous Photo-crosslinkable Inks10.1002/adma.201604983 ↗
5. Biofabrication strategies for 3D in vitro models and regenerative medicine10.1038/s41578-018-0006-y ↗
6. Current advances and future perspectives in extrusion-based bioprinting10.1016/j.biomaterials.2015.10.076 ↗
7. Direct 3D bioprinting of perfusable vascular constructs using a blend bioink10.1016/j.biomaterials.2016.07.038 ↗
8. A Process Parameter Design Method for Improving the Filament Diameter Accuracy of Extrusion 3D Printing10.3390/ma15072454 ↗
9. Investigation of the temperature gradient control in the printing space for the material extrusion of medical biodegradable hydrogel10.1016/j.compbiomed.2023.107722 ↗
10. Inkjet Bioprinting of Biomaterials10.1021/acs.chemrev.0c00008 ↗
11. Inkjet Bioprinting of 3D Silk Fibroin Cellular Constructs Using Sacrificial Alginate10.1021/acsbiomaterials.6b00432 ↗
12. Laser-Induced Forward Transfer: Fundamentals and Applications10.1002/admt.201800099 ↗
13. Laser-induced forward transfer (LIFT) based bioprinting of the collagen I with retina photoreceptor cells10.1016/j.mfglet.2023.07.005 ↗
14. The recent development of vat photopolymerization: A review10.1016/j.addma.2021.102423 ↗
15. Vat photopolymerization bioprinting with a dynamic support bath10.1016/j.addma.2023.103533 ↗
16. Investigation on the Temperature Distribution Uniformity of an Extrusion-Based 3D Print Head and Its Temperature Control Strategy10.3390/pharmaceutics14102108 ↗
17. Investigation on the Temperature Control Accuracy of a Print Head for Extrusion 3D Printing and Its Improved Design10.3390/biomedicines10061233 ↗
18. A building-block approach to 3D printing a multichannel, organ-regenerative scaffold10.1002/term.2038 ↗
19. From Shape to Function: The Next Step in Bioprinting10.1002/adma.201906423 ↗
20. Advances in 3D Bioprinting of Biomimetic and Engineered Meniscal Grafts10.1002/mabi.202300199 ↗
21. Fluid Mechanics of the Aortic Root with Application to Coronary Flow10.1038/2191059a0 ↗
22. Aortic root dilation prior to valve opening explained by passive hemodynamics
23. Deformational Dynamics of the Aortic Root
24. Proposal to assess printability of bioinks for extrusion-based bioprinting and evaluation of rheological properties governing bioprintability10.1088/1758-5090/aa8dd8 ↗
25. Tailoring of the rheological properties of bioinks to improve bioprinting and bioassembly for tissue replacement
26. Gelatin-Methacrylamide Hydrogels as Potential Biomaterials for Fabrication of Tissue-Engineered Cartilage Constructs10.1002/mabi.201200471 ↗
27. Self-Supporting Nanoclay as Internal Scaffold Material for Direct Printing of Soft Hydrogel Composite Structures in Air10.1021/acsami.7b03613 ↗
28. Nanoengineered Colloidal Inks for 3D Bioprinting10.1021/acs.langmuir.7b02540 ↗
29. Flow behavior prior to crosslinking: The need for precursor rheology for placement of hydrogels in medical applications and for 3D bioprinting10.1016/j.progpolymsci.2019.01.003 ↗
30. Mapping Glycosaminoglycan-Hydroxyapatite Colloidal Gels as Potential Tissue Defect Fillers10.1021/la4041985 ↗
31. Toward next-generation bioinks: Tuning material properties pre- and post-printing to optimize cell viability10.1557/mrs.2017.162 ↗
32. Viscosity and Internal Friction in Liquids10.1134/S1070363221090279 ↗
33. Capillarity and Wetting Phenomena, Springer, New York
34. Predicting the Dynamics and Steady-State Shape of Cylindrical Newtonian Filaments on Solid Substrates10.1021/acs.langmuir.3c00973 ↗
35. Effective bioprinting resolution in tissue model fabrication10.1039/C8LC01037D ↗
36. 3D Printing Methyl Cellulose Hydrogel Wound Dressings with Parameter Exploration Via Computational Fluid Dynamics Simulation10.1007/s11095-021-03150-5 ↗
37. Numerical modeling of the strand deposition flow in extrusion-based additive manufacturing10.1016/j.addma.2017.12.013 ↗
38. Viscoplastic lines: printing a single filament of yield stress material on a surface10.1017/jfm.2023.118 ↗
39. Spreading of viscoplastic droplets10.1017/jfm.2020.886 ↗
40. Impact of viscous droplets on different wettable surfaces: Impact phenomena, the maximum spreading factor, spreading time and post-impact oscillation10.1016/j.jcis.2017.12.086 ↗
41. Contact Angles of Liquid Drops on Super Hydrophobic Surfaces: Understanding the Role of Flattening of Drops by Gravity10.1021/la102566c ↗
42. J. Zhang, H. Gu, J. Sun, B. Li, J. Jiang, W. Wu, Frontiers | Spreading Kinetics of Herschel-Bulkley Fluids Over Solid Substrates, (n.d.). https://doi.org/10.3389/fphy.2020.609926.10.3389/fphy.2020.609926 ↗
43. Influence of yield stress on the fluid droplet impact control10.1016/j.jnnfm.2010.02.020 ↗
44. Advected phase-field method for bounded solution of the Cahn-Hilliard Navier–Stokes equations10.1063/5.0048614 ↗
45. Physics-informed neural networks for phase-field method in two-phase flow10.1063/5.0091063 ↗
46. Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions10.1007/s00205-010-0320-z ↗
47. Vanishing Viscous Limits for 3D Navier-Stokes Equations with a Navier-Slip Boundary Condition10.1007/s00021-012-0103-4 ↗
48. Effect of material extrusion process parameters on filament geometry and inter-filament voids in as-fabricated high solids loaded polymer composites10.1016/j.addma.2021.102313 ↗
49. Slip of Spreading Viscoplastic Droplets10.1021/acs.langmuir.5b02353 ↗
50. Dynamic arrest during the spreading of a yield stress fluid drop10.1103/PhysRevFluids.6.044006 ↗