Abstract
In this paper, simulation approaches for the partial melting of metallic workpieces in micro scale are presented. The underlying model considers heat transport in the whole workpiece, the solid-liquid phase transition assuming a sharp interface and the fluid flow in the liquid part including surface tension effects. Depending on whether the solid-liquid interface is handled either by an interface-tracking or an interface-capturing approach, two different numerical schemes based on an ALE finite element method are presented. A crucial aspect for both methods is the geometrical evolution of the solid-liquid-gas triple junction due to the non-material movement of the solid-liquid interface. Yielding mutual advantages and disadvantages, both methods can be used in alternation in a combined approach. Numerical results are shown for melting the tip of a thin steel wire by a laser beam.
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Acknowledgements
The authors gratefully acknowledge the financial support by the DFG (German Research Foundation) for the subproject A3 within the Collaborative Research Center SFB 747 Mikrokaltumformen—Prozesse, Charakterisierung, Optimierung.
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Luttmann, A., Jahn, M., Schmidt, A. (2019). Modeling and Simulation Approaches for the Production of Functional Parts in Micro Scale. In: Faragó, I., Izsák, F., Simon, P. (eds) Progress in Industrial Mathematics at ECMI 2018. Mathematics in Industry(), vol 30. Springer, Cham. https://doi.org/10.1007/978-3-030-27550-1_7
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DOI: https://doi.org/10.1007/978-3-030-27550-1_7
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