621.7, 004.9 Numerical simulation of unsteady one-dimensional heat transfer during 3D-printing using SLM

Kishov E. A. (СГАУ им. Королева), Zolotov D. V. (СГАУ им. Королева), Koval I. Y. (СГАУ им. Королева)

HEAT CONDUCTION EQUATION, UNSTEADY PROCESS, LAYER-BY-LAYER ADDITION OF MATERIAL, 3D PRINTING, FINITE ELEMENT METHOD, ANSYS, MATLAB


doi: 10.18698/2309-3684-2024-4-1930


A one-dimensional mathematical model of an unsteady heat transfer process in the process of 3D printing of SLM technology is proposed. The feature of the model is taking into account the layer-by-layer addition of material to the calculation domain over time. The model is implemented within in-house software using the finite element method. Addition of material is taken into account by the algorithm of activation/deactivation of elements. A test problem for determining the temperature field during the growth of a part whose geometry is idealized by a rod of variable cross-section has been solved. To assess the reliability of the results, similar calculations are performed in third-party software products: in Ansys – in full three-dimensional formulation – and in Matlab – the one-dimensional heat conduction equation for a rod of time-varying length and variable cross-sectional area is solved. Comparison of the temperature field shows that the results of calculations in the developed software correspond to third-party solutions while ensuring high computational efficiency.


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Кишов Е.А., Золотов Д.В., Коваль И.Ю. Численное моделирование нестационарного теплопереноса в процессе 3D-печати по технологии SLM в одномерной постановке. Математическое моделирование и численные методы, 2024, № 4, с. 19–30.


Работа выполнена при финансовой поддержке Российского научного фонда (РНФ), номер проекта 23-79-01213.


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