Title: Physics-Informed Neural Networks to Accelerate Heat Transfer Predictions in Additive Manufacturing
Authors: Junhyeok Kil, Akshay Jacob Thomas, Eduardo Barocio, Ilias Bilionis
DOI: 10.33599/nasampe/s.25.0137
Abstract: Accurate and scalable prediction of thermal history is pivotal for optimizing print quality in extrusion deposition additive manufacturing (EDAM). This paper investigates the applicability of physics-informed neural networks (PINNs) for 3D heat transfer analysis during the additive manufacturing process. As finite element method (FEM) requires increasingly fine meshes and smaller time increments to achieve higher accuracy, its computational cost rises substantially. PINNs offer a more scalable solution by eliminating the need for meshes and time increment schemes. We achieve this by recasting the solution to the differential equation as a stochastic minimization problem. While the current focus is a single forward problem, the paper sets the groundwork for future research into parametric problems, where PINNs demonstrate their full potential by efficiently solving a range of scenarios under varying initial, boundary conditions, and material properties. Our results show that PINNs can be used to solve the 3D heat transfer equation on evolving geometries without the need for spatial discretization and time-stepping schemes. This study showcases the growing relevance of PINNs in manufacturing simulations, with future implications for real-time control and optimization in advanced manufacturing.
References: 1. L.J. Gibson, M.F. Ashby (1997). Cellular Solids: Structure and Properties, Second ed., Cambridge University Press, Cambridge (UK). 2. M.F. Ashby, A.G. Evans, N.A. Fleck, L.J. Gibson, J.W. Hutchinson, H.N.G. Wadley (2000). Metal Foams: A Design Guide, Butterworth-Heinemann Press, MA (UK). 3. J. Banhart (2001). “Manufacture, characterisation and application of cellular metals and metal foams.” Progress in Materials Science, 46(6):559–632. https://doi.org/10.1016/S00796425(00)00002-5 4. G.Y. Sun, Z. Wang, H. Yu, Z.H. Gong, Q. Li (2019). “Experimental and numerical investigation into the crashworthiness of metal-foam-composite hybrid structures.” Composite Structures, 209:535-547. https://doi.org/10.1016/j.compstruct.2018.10.051 5. O. Fragoso-Medina, F. Velázquez-Villegas (2021). “Aluminum foam to improve crash safety performance: a numerical simulation approach for the automotive industry.” Mechanics Based Design of Structures and Machines, 51(7):3583-3597. https://doi.org/10.1080/15397734.2021.1927076 6. P.J. Tan, S.R. Reid, J.J. Harrigan, Z. Zou, S. Li (2005). “Dynamic compressive strength properties of aluminum foams, Part I - experimental data and observations.” Journal of the Mechanics and Physics of Solids, 53(10):2174–2205. https://doi.org/10.1016/j.jmps.2005.05.007 7. P.J. Tan, S.R. Reid, J.J. Harrigan, Z. Zou, S. Li (2005). “Dynamic compressive strength properties of aluminum foams. Part II - 'shock' theory and comparison with experimental data and numerical models.” Journal of the Mechanics and Physics of Solids, 53(10):2206–2230. https://doi.org/10.1016/j.jmps.2005.05.003 8. C.J. Zhang, Y. Feng, X.B. Zhang (2010). “Mechanical properties and energy absorption properties of aluminum foam-filled square tubes.” Transactions of Nonferrous Metals Society of China, 20(8):1380-1386. https://doi.org/10.1016/S1003-6326(09)60308-3 9. C.Y. Zhang, L.Q. Tang, B. Yang, L. Zhang, X.Q. Huang, D.N. Fang (2013). “Mesomechanical study of collapse and fracture behaviors of closed-cell metallic foams.” Computational Materials Science, 79:45-51. https://doi.org/10.1016/j.commatsci.2013.05.046 10. P. Pinto, N. Peixinho, F. Silva, D. Soares (2014). “Compressive properties and energy absorption of aluminum foams with modified cellular geometry.” Journal of Materials Processing Technology, 214(3):571-577. https://doi.org/10.1016/j.jmatprotec.2013.11.011 11. Z.Q. Li, J.J. Zhang, J.H. Fan, Z.H. Wang, L.M. Zhao (2014). “On crushing response of the three-dimensional closed-cell foam based on Voronoi model.” Mechanics of Materials, 68:85-94. https://doi.org/10.1016/j.jmatprotec.2013.11.011 12. C.J. Liu, Y.X. Zhang, C.H. Yang (2016). “Numerical modelling of mechanical behaviour of aluminium foam using a representative volume element method.” International Journal of Mechanical Sciences, 118:155-165. https://doi.org/10.1016/j.ijmecsci.2016.08.021 13. I. Elnasri, H. Zhao (2016). “Impact perforation of sandwich panels with aluminum foam core: A numerical and analytical study.” International Journal of Impact Engineering, 96:5060. https://doi.org/10.1016/j.ijimpeng.2016.05.013 14. H. Fang, J. Bia, C. Zhang, M. Gutowski, E. Palta, Q. Wang (2017). “A constitutive model of aluminum foam for crash simulations.” International Journal of Non-Linear Mechanics, 90:124-136. https://doi.org/10.1016/j.ijnonlinmec.2017.01.013 15. H.S. Abdullahi, Y.C. Liang, S.M. Gao (2019). “Predicting the elastic properties of closedcell aluminum foams: a mesoscopic geometric modeling approach.” SN Applied Sciences, 1:380. https://doi.org/10.1007/s42452-019-0382-y 16. Y. Zhang, T. Jin, S.Q. Li, D. Ruan, Z.H. Wang, G.X. Lu (2019). “Sample size effect on the mechanical behavior of aluminum foam.” International Journal of Mechanical Sciences, 151:622-638. https://doi.org/10.1016/j.ijmecsci.2018.12.019 17. B.G. Teng, W.N. Wang, Y.C. Xu (2017). “Ductile fracture prediction in aluminium alloy 5A06 sheet forming based on GTN damage model.” Engineering Fracture Mechanics, 186 (2017) 242–254. https://doi.org/10.1016/J.ENGFRACMECH.2017.10.014C 18. A. Baroutaji, A. Arjunan, A. Niknejad, T. Tran, A. Olabi (2019). “Application of Cellular Material in Crashworthiness Applications: An Overview.” Reference Module in Materials Science and Materials Engineering, Jan 2019. https://doi.org/10.1016/B978-0-12-8035818.09268-7 19. International Standard Organization (2011). “Mechanical testing of metal - Ductility testing - Compression test for porous and cellular metals.” ISO 13314:2011, Geneva, Switzerland. 20. A. Wilbert, W.Y. Jang, S. Kyriakides, J.F. Floccari (2011). “Buckling and progressive crushing of laterally loaded honeycomb.” International Journal of Solids and Structures, 48:803–816. https://doi.org/10.1016/j.ijsolstr.2010.11.014
Conference: SAMPE 2025
Publication Date: 2025/05/19
SKU: TP25-0000000137
Pages: 11
Price: $22.00
Get This Paper