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On the Simulation of 3D Printing Process by a Novel Meshless Analysis Procedure

Published online by Cambridge University Press:  26 February 2020

Ying Mao Open the ORCID record for Ying Mao [Opens in a new window] ,
Wen-Hwa Chen  and
Ming-Hisao Lee
Ying Mao
Affiliation:
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, Taiwan, R.O.C.
Wen-Hwa Chen*
Affiliation:
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, Taiwan, R.O.C.
Ming-Hisao Lee
Affiliation:
National Center for High-performance Computing, Hsinchu, Taiwan, R.O.C.
*
*Corresponding author (whchen@pme.nthu.edu.tw)
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Abstract

To evaluate the thermal deformation induced by 3D Printing (Three Dimensional Printing) process, a novel meshless analysis procedure is established. To account for the heat transfer and solidification effects of each printing layer from liquid to solid phase transition, the layer temperature is measured by the implanted thermocouples. Based on the temperature variation measured, the printing layer temperature can be averaged and considered as uniform for thermal analysis. In addition, as observed by the deformation of the printed target through experiment, only linear thermal elastic analysis is performed.

A rigorous algorithm for simulating the 3D Printing process is presented herein. Since the interpolation functions are no longer polynomials, a simple integration scheme using uniform integration points is applied to calculate the global stiffness matrix. Thus, the density and location of the integration points can be easily adjusted to fulfill the required accuracy. Further, for practical implementation, the simulation is also carried out by the concept of equivalent layer.

Demonstrative cases of printing a rectangular PLA (Polylactic Acid) brick are tackled to prove the accuracy and efficiency of the proposed meshless analysis procedure. The effects of layer thickness, equivalent layer and slenderness ratio on the thermal deformation of the printed brick are also investigated.

Keywords

Additive manufacturing3D Printing simulationMeshless analysis
Type
Research Article
Information
Journal of Mechanics , Volume 36 , Issue 3 , June 2020 , pp. 285 - 294
Copyright
Copyright © 2020 The Society of Theoretical and Applied Mechanics

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References

REFERENCES

ASTM Standard, “Standard Terminology for Additive Manufacturing-General Principles-Terminology”. ISO/ASTM 52900 (2016).Google Scholar
Bellini, A., “Fused Deposition of Ceramics: a Comprehensive Experimental, Analytical and Computational Study of Material Behavior”, Fabrication Process and Equipment Design, PhD thesis, Drexel University, Philadelphia, PA (2002).Google Scholar
Bellehumeur, C., Li, L., Sun, Q. and Gu, P., “Modeling of Bond Formation Between Polymer Filaments in the Fused Deposition Modeling Process”, Journal of Manufacturing Processes, 6, pp. 170–178 (2004).CrossRefGoogle Scholar
Peng, A. H., “Research on the Interlayer Stress and Warpage Deformation in FDM”, Advanced Materials Research, 538, pp. 1564–1567 (2012).CrossRefGoogle Scholar
Peng, A. H. and Xiao, X. M., “Investigation on Reasons Inducing Error and Measures Improving Accuracy in Fused Deposition Modeling”, Advances in Information Sciences and Service Sciences, 4, pp. 149–157 (2012).Google Scholar
Wang, T. M., Xi, J. T. and Jin, Y., “A Model Research for Prototype Warp Deformation in the FDM Process”, The International Journal of Advanced Manufacturing Technology, 33, pp. 1087–1096 (2007).CrossRefGoogle Scholar
Sun, Q., Rizvi, G.M., Bellehumeur, C.T. and Gu, P., “Effect of Processing Conditions on the Bonding Quality of FDM Polymer Filaments”, Rapid Prototyping Journal, 14, pp. 72–80 (2008).CrossRefGoogle Scholar
Keller, N. and Ploshikhin, V.P., “New Method for Fast Predictions of Residual Stress and Distortion of AM Parts”, Solid Freeform Fabrication Symposium, pp. 1229–1237 (2014).Google Scholar
Talagani, M. R., DorMohammadi, S., Dutton, R., Godines, C., Baid, H., Abdi, F., Kunc, V., Compton, B., Simunovic, S., Duty, C., Love, L., Post, B. and Blue, C., “Numerical Simulation of Big Area Additive Manufacturing (3D Printing) of a Full Size Car”, SAMPE Journal, 51, pp. 27–36 (2015).Google Scholar
Zeng, K., Pal, D., Teng, C. and Stucker, B. E., “Evaluations of Effective Thermal Conductivity of Support Structures in Selective Laser Melting”, Additive Manufacturing, 6, pp. 67–73 (2015).CrossRefGoogle Scholar
Chen, W. H., Chi, C. T. and Lee, M. H., “A Novel Element-Free Galerkin Method with Uniform Background Grid for Extremely Deformed Problems”, Computer Modeling in Engineering and Sciences, 40, pp. 175–200 (2009).Google Scholar
Lee, M. H. and Chen, W. H., “Geometry-related Treatments for Three-dimensional Meshless Method”, Computer Modeling in Engineering and Sciences, 61, pp. 249–271 (2010).Google Scholar
Chen, W. H. and Lee, M. H., “A Novel Meshless Analysis Procedure for Three-dimensional Structural Problems with Complicated Geometry”, Computer Modeling in Engineering and Sciences, 93, pp. 149–166 (2013).Google Scholar
Martíneza, J., Diégueza, J. L., Aresb, E., Pereirab, A., Hernándezb, P. and Pérezb, J. A., “Comparative Between FEM Models for FDM Parts and Their Approach to a Real Mechanical Behavior”, Procedia Engineering, 63, pp. 878–884 (2013).CrossRefGoogle Scholar
Lai, J., “Moldflow Material Testing Report MAT2238-NatureWorks PLA”, Victoria, Australia (2007).Google Scholar
Cantrell, J., Rohde, S., Damiani, D., Gurnani, R., DiSandro, L., Anton, J., Young, A., Jerez, A., Steinbach, D., Kroese, C. and Ifju, P., “Experimental Characterization of the Mechanical Properties of 3D-printed ABS and Polycarbonate Parts”, Rapid Prototyping Journal, 23, pp. 811–824 (2017).CrossRefGoogle Scholar
British Standard, “Plastics-Determination of Tensile Properties, General Principles”, BS EN ISO 527-1 (2012).Google Scholar
Zhou, C., Guo, H., Li, J., Huang, S., Li, H., Meng, Y., Yu, D., Christiansen, J.C. and Jiang, S., “Temperature Dependence of Poly (Lactic Acid) Mechanical Properties”, Rsc Advances, 6, pp. 113762–113772 (2016).CrossRefGoogle Scholar
Ebel, E. and Sinnemann, T., “Fabrication of FDM 3D Objects with ABS and PLA and Determination of Their Mechanical Properties”, RTejournal, 1 (2014).Google Scholar
Belytschko, T., Lu, Y. Y. and Gu, L., “Element-free Galerkin Methods”, International Journal for Numerical Methods in Engineering, 37, pp. 229–256 (1994).CrossRefGoogle Scholar
Atluri, S. N. and Zhu, T., “A New Meshless Local Petrov-Galerkin (MLPG) Approach in Computational Mechanics”, Computational Mechanics, 22, pp. 117–127 (1998).CrossRefGoogle Scholar