Heating of a half-space by a moving source of laser heat pulse


Аuthors

Nguyen T. L.

Le Quy Don Technical University, 236 Hoang Quoc Viet, Ha Noi, Viet Nam

e-mail: kqvn.nguyenlong@gmail.com

Abstract

In recent years, additive manufacturing technologies have been increasingly adopted in industrial production of metal components, offering broad capabilities for creating complex-shaped parts with high performance characteristics. Processes utilizing concentrated energy sources such as laser and electron beam heating have become especially widespread, providing highly localized thermal input for layer-by-layer fabrication of parts. Additive manufacturing is now widely used in high-tech industries such as aerospace, automotive engineering, medicine, and the production of energy and specialized equipment.
One of the key factors determining the quality of the final product is the temperature field generated during thermal exposure. The spatial and temporal distribution of temperature affects cooling rates, microstructure formation, residual stresses, deformations, and the risk of crack formation. Therefore, accurate modeling of thermal processes plays a crucial role in the analysis and optimization of selective laser melting and other layer-by-layer manufacturing methods.
This study addresses a three-dimensional, non-stationary heat conduction problem involving a moving heat source simulating laser heating on the surface of a half-space. The solution is based on the principle of superposition and the method of influence functions. A numerical-analytical algorithm has been developed and implemented, employing discretization in both time and spatial coordinates. The algorithm yields accurate and stable results for arbitrary source trajectories. The resulting spatial-temporal temperature distributions provide valuable insights into the thermal behavior of the system under various additive manufacturing regimes. These results can be used to assess thermal effects, guide process optimization, and improve control over the quality of the manufactured components.

Keywords:

3D printing, selective laser melting, additive manufacturing, concentrated load, moving load, heat flux, influence function

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