FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Numerical modeling of residual stresses in deposited metal layer with a moving laser energy source |
Gritsenko A.A., Chekhonin K.A. |
2024, issue 1, P. 22-32 DOI: https://doi.org/10.47910/FEMJ202403 |
Abstract |
| A transient 3D process of metal layer solidification, formed with laser technology, is considered. The mathematical model is based on balance equation with viscoelastoplastic rheological model and energy equation, taking into account diffusion, convective and radiation losses. Numerical solution is performed using Finite Element Method using an adaptive algorithm for constructing grid domain as a function of temperature gradient in an uncoupled formulation with the solution of discrete equations of non-stationary thermal conductivity and thermomechanics. The algorithm takes into account the movement of the heat source at a given speed by applying the technology of «killing», and subsequent «birthing», of parts of the material. Continuous deposition of material is carried out discretely, at each step of calculation corresponding to «birthing», of the next subdomain from the «killed», elements. Verification and validation of the numerical algorithm is performed. The influence of the unidirectional scan strategy of five layers of metal on von Mises residual stresses is shown. |
Keywords: finite element method, laser additive technology, metal solidification, viscoelastoplasticity, residual stress. |
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References |
| [1] Arutiunian N.Kh., Manzhirov A.V., Naumov V.E., Kontaktnye zadachi rastushchikh tel, Nauka, M., 1991, 176 s. [2] Arutiunian N.Kh., Drozdov A.D., Naumov V.E., Mekhanika rastushchikh viazkouprugoplasticheskikh tel, Nauka, M., 1987, 471 s. [3] Lindgren L.E., “Finite Element Modeling and Simulation of Welding Part 1: Increased Complexity”, Journal of Thermal Stresses, 24:2, (2001), 141–192. [4] Gusarov A.V., Pavlov M., Smurov I., “Residual Stresses at Laser Surface Remelting and Additive Manufacturing”, Physics Procedia, 12, (2011), 248–254. [5] Chekhonin K.A., Vlasenko V.D., “Numerical Modeling of Compression Cure High-Filled Polymer Material”, Journal of Siberian Federal University. Mathematics & Physics, 14:6, (2021), 805–814. [6] Chekhonin K.A., Vlasenko V.D., “Gradientnyi algoritm optimizatsii temperaturno- konversionnoi zadachi pri otverzhdenii vysokonapolnennykh polimernykh materialov”, Informatika i sistemy upravleniia, 4:62, (2019), 58–70. [7] Chekhonin K.A., “Current state and development of the theory of curing high-energy composite polymer materials”, Journal of Siberian Federal University. Mathematics & Physics, 17:1, (2024), 106–114. [8] Chekhonin K.A., Vlasenko V.D., “The Role of Curing Stresses in Subsequent Response and Damage of High Energetic materials”, Journal of Physics: Conference Series, The conference on High Energy Processes in Condensed Matter (HEPCM)-2021, 2021, 55–63. [9] Bulgakov V.K., Chekhonin K.A., “Modeling of a 3D Problem of compression forming system “Composite shell – low compressible consolidating Filler”, J. Mathematical Modeling, 4, (2002), 121–131. [10] Mirkoohi E., Dobbs J.R., Liang S.Y., “Analytical modeling of residual stress in direct metal deposition considering scan strategy”, The International Journal of Advanced Manufacturing Technology, 106, (2020), 4105–4121. [11] Chekhonin K.A., “Mikromekhanicheskaia model' vysokoenergeticheskogo materiala pri otverzhdenii”, Dal'nevostochnyi matematicheskii zhurnal, 22:1, (2022), 119–124. [12] Chekhonin K.A., “O termodinamicheskoi soglasovannosti sviazannoi modeli otverzhdeniia elastomera pri konechnykh deformatsiiakh”, Dal'nevostochnyi matematicheskii zhurnal, 22:1, (2022), 107–118. [13] Bulgakov V.K., Chekhonin K.A., Osnovy teorii metoda smeshannykh konechnykh elementov, Izd-vo Khabar. tekhn. un-t, Khabarovsk, 1999, 357 s. [14] Baiges J., Chiumenti M., Moreira C.A., Cervera M., “An Adaptive Finite Element strategy for the numericalsimulation of Additive Manufacturing processes”, Additive Manufacturing, 37, (2021), 101650:1–101650:13. [15] Roberts I.A., Wang C.J., Esterlein R., Stanford M., “A three-dimensional finite element analysis of the temperature field during laser melting of metal powders in additive layer manufacturing”, International Journal of Machine Tools & Manufacture, 49, (2009), 916–923. [16] Caiazzo F., Alfieri V., “Simulation of Laser-assisted Directed Energy Deposition of Aluminum Powder: Prediction of Geometry and Temperature Evolution”, Materials, 12, (2019). [17] Li Z., Li B.-Q., Bai P., Liu B., “Research on the Thermal Behaviour of a Selectively Laser Melted Aluminium Alloy: Simulation and Experiment”, Materials, 11, (2018). [18] Mukherjee T., DebRoy T., Theory and Practice of Additive Manufacturing 1st Edition, Wiley, 2023. [19] Staron P., Vaidya W.V., Kocak M., “Precipitates in laser beam welded aluminum alloy AA6056 butt joints studied by small-angle neutron scattering”, Science and Engineering: A, 525, (2009), 192–199. |