Abstract
Inkjet-based organ printing or 3D organ printing can be implemented using orifice-based and orifice-free approaches. Inkjetting, the most widely used orifice-based fabrication approach, has been applied to fabricate various biological constructs, such as alginate tubes. There are two main factors that may lead to failure during the fabrication of the tubular constructs with an overhang using horizontal printing: Structure instability due to the moment imbalance and structure failure due to the droplet impact-induced crash or buckling. This study aims to investigate how to theoretically construct a predicted tube printing path which can compensate for deformation in the printing process. First, we discuss the influence of stress in the printing process, subsequently we proceed to simulate the printing of the tube as a thin curved beam under droplet impact force, and obtain the unchanged shape information from the deformed shape, and then we put forward the predicted-path algorithm of the tube fabrication (PPATF). Second, we verify the method effectiveness and correctness by constructing the predicted path of a tube of 6 mm diameter and using finite element analysis (FEA) to simulate the deformation in the printing process. Lastly, we use the predicted path to print the tube. The cross section of the fabricated constructs can be nearly circular with the predictive compensation path.
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Abbreviations
- R:
-
The initial radius of curvature of the center line of the curved beam at any point m of the center line
- ρ:
-
The radius of curvature of the curved beam after deformation at any point m of the center line
- l:
-
The longitude length of this tube
- M:
-
The moment of at any point m of the center line of the curved beam before deformation
- t:
-
The thickness of the wall
- E:
-
Young’s modulus of the block material
- ω:
-
The radial displacement
- B:
-
The width of beam
- h:
-
The height of beam
- E:
-
The Young’s Model of Printing Material
- s 0 :
-
The initial arc coordinate
- \({\text{s}}_{0}^{*}\) :
-
The deformed arc coordinate
- Δ0 :
-
The deformed rate along the beam
- u:
-
The displacement along X direction
- w:
-
The displacement along Y direction
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Acknowledgments
The paper was support by the National Natural Science Foundation of China (61100101, 51475129, 51275141, 51305113), the paper was also supported by Key Discipline of The Ocean Techtronic Equipments Technology. The paper was also supported by Nature Science Foundation of Zhejiang Province “MEMS united constraints model order reduction method and solution research (LY14E050026)”. The project also was supported by Zhejiang Province Higher Visiting Scholar project “Model order reduction technology and used in MEMS, FX2014080”.
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Gong, Y., Lv, Y., Su, S. et al. The predictive compensation path research of the micro tube fabrication process. Microsyst Technol 22, 2209–2222 (2016). https://doi.org/10.1007/s00542-015-2598-0
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DOI: https://doi.org/10.1007/s00542-015-2598-0