Numerical simulation of selective laser melting by the SPH method
- Authors: Bykov A.N.1, Vishnyakova M.N.1, Deryugin Y.N.1, Emelyanov A.B.1, Lazarev A.A.1, Polishchuk S.N.1, Cherenkova C.V.1
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Affiliations:
- FSUE RFNC - VNIIEF
- Issue: Vol 24, No 4 (2022)
- Pages: 419-435
- Section: Applied mathematics and mechanics
- Published: 23.11.2022
- URL: https://ogarev-online.ru/2079-6900/article/view/366599
- DOI: https://doi.org/10.15507/2079-6900.24.202204.419-435
- ID: 366599
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Abstract
Currently, additive manufacturing technologies develop actively. This requires creation of computational methods to describe physical processes occurring at the time of manufacturing. One of the methods used for the production of metal powder parts is the method of selective laser melting. This paper presents an SPH-based numerical technique for modeling the process of powder sintering under the influence of a laser beam. The flow of liquid formed as a result of melting is described by the Navier-Stokes equations. Pressure forces, viscous effects and surface forces at the interface are included in the force balance. The thermal state is determined from the energy conservation law, which takes into account thermal processes, volumetric absorption of laser radiation energy, convective heat exchange with the external environment and radiation. Phase transitions between solid and liquid phases are described in the framework of the generalized formulation of the Stefan problem. The calculation method is verified on tests specific to the class of problems under consideration. A comparison is made with the analytical solution, as well as with solutions obtained by other modifications of the SPH method, and with experimental data.
About the authors
Alexander N. Bykov
FSUE RFNC - VNIIEF
Email: ban3101@mail.ru
Ph. D. (Physics and Mathematics), Chief researcher, Department of the Institute of Theoretical and Mathematical Physics
Russian Federation, 37 Mira Ave., Sarov, 607188, RussiaMarina N. Vishnyakova
FSUE RFNC - VNIIEF
Email: Marina.N.Vishnyakova@gmail.com
ORCID iD: 0000-0002-0488-518X
Ph. D. (Physics and Mathematics), Senior researcher, Department of the Institute of Theoretical and Mathematical Physics
Russian Federation, 37 Mira Ave., Sarov, 607188, RussiaYuriy N. Deryugin
FSUE RFNC - VNIIEF
Author for correspondence.
Email: dyn1947@yandex.ru
ORCID iD: 0000-0002-3955-775X
D. Sci. (Physics and Mathematics), Chief Researcher, Department of the Institute of Theoretical and Mathematical Physics
Russian Federation, 37 Mira Ave., Sarov, 607188, RussiaAndrey B. Emelyanov
FSUE RFNC - VNIIEF
Email: abe75@yandex.ru
ORCID iD: 0000-0002-3549-3891
Senior researcher
Russian Federation, 37 Mira Ave., Sarov, 607188, RussiaAlexey A. Lazarev
FSUE RFNC - VNIIEF
Email: lazarev.alex94@gmail.com
ORCID iD: 0000-0002-0577-5732
Researcher
Russian Federation, 37 Mira Ave., Sarov, 607188, RussiaSergey N. Polishchuk
FSUE RFNC - VNIIEF
Email: S.N.Polischuk@yandex.ru
ORCID iD: 0000-0002-7158-7393
Ph. D. (Physics and Mathematics), Chief researcher
Russian Federation, Physics and Mathematics), (37 Mira Ave., Sarov, 607188, RussiaChristina V. Cherenkova
FSUE RFNC - VNIIEF
Email: cherenkova031996@mail.ru
ORCID iD: 0000-0003-0548-8861
Junior research
Russian Federation, 37 Mira Ave., Sarov, 607188, RussiaReferences
- I. Gibson, D. Rosen, B. Stucker, Additive Manufacturing Technologies, Springer, New York, 2015, DOI: https://doi.org/10.1007/978-1-4939-2113-3, 498 p.
- I. V. Shishkovsky, Osnovy additivnykh tekhnologiy vysokogo razresheniya “[Fundamentals of high-resolution additive technologies]”, Peter, St. Petersburg, 2016 (In Russ.), 348 p.
- M. A. Russell, A. Souto-Iglesias, T. I. Zohdi, “Numerical simulation of Laser Fusion Additive Manufacturing processes using the SPH method”, Computer Methods in Applied Mechanics and Engineering, 2018, no. 341, 163–187. DOI: https://doi.org/10.1016/j.cma.2018.06.033
- I. V. Savelyev, Kurs obshchey fiziki “[Course of general physics]”. Vol. I., Nauka, M., 1970 (In Russ.)
- A. A. Samarskiy, P. N. Vabishevich, Vychislitel’naya teploperedacha “[Computational heat transfer]”, «Librocom», M., 2009 (In Russ.), 784 p.
- B. M. Budak, E. N. Soloviev, A. B. Uspensky, “Raznostnyy metod so sglazhivaniem koeffitsientov dlya resheniya zadachi Stefana [Difference method with smoothing coefficients for solving the Stefan problem]”, Zh. Vychisl. Mat. Mat. Fiz., 5:5 (1965), 828-840 (In Russ.).
- R. A. Gingold, J. J. Monaghan, “Smoothed Particle Hydrodynamics: theory and application to non-spherical stars”, Monthly Notices of the Royal Astronomical Society, 181:3 (1977), 375-389. DOI: https://doi.org/10.1093/mnras/181.3.375
- L. Lucy, “A numerical approach to the testing of the fission hypothesis”, Astronom. J., 1977, no. 82, 1013. DOI: https://doi.org/10.1086/112164
- J. J. Monaghan, “Smoothed particle hydrodynamics”, Annual Review of Astronomy and Astrophysics, 30 (1992), 543-574. DOI: https://doi.org/10.1146/annurev.aa.30.090192.002551
- M. Ordoubadi, M. Yaghoubi, F. Yeganehdoust, “Surface tension simulation of free surface using smoothed particle hydrodynamics”, Sci. Iranica B., 24:4 (2017), 2019–2033. DOI: https://doi.org/10.24200/sci.2017.4291
- U. Karslou, D. Eger, Teploprovodnost’ tverdykh tel “[Thermal conductivity of solids]”, Nauka, M., 1964 (In Russ.), 488 p.
- A. N. Tikhonov, A. A. Samarskiy, Uravneniya matematicheskoy fiziki “[Equations of mathematical physics]”, Nauka, M., 1977 (In Russ.), 742 p.
- Y. Bao, L. Li, L. Shen, Ch. Lei, Y. Gan, “A Modified Smoothed Particle Hydrodynamics Approach for Modelling Dynamic Contact Angle Hysteresis”, 2018, arXiv: https://doi.org/10.48550/arXiv.1804.02770.
- My Ha Dao, Jing Lou, “Simulations of Laser Assisted Additive Manufacturing by Smoothed Particle Hydrodynamics”, Computer Methods in Applied Mechanics and Engineering, 373 (2021). DOI: https://doi.org/10.1016/j.cma.2020.113491
- X. He, P.W. Fuerschbach, T. DebRoy, “Heat transfer and fluid flow during laser spot welding of 304 stainless steel”, J. Phys. D: Appl. Phys., 36:12 (2013), 1388–1398. DOI: https://doi.org/10.1088/0022-3727/36/12/306
- M. Afrasiabi, C. Lüthi, M. Bambach, K. Wegener, “Multi-Resolution SPH Simulation of a Laser Powder Bed Fusion Additive Manufacturing Process”, Appl. Sci., 11:7 (2021), 2962. DOI: https://doi.org/10.3390/app110729
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