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Multiscale modeling of electron beam and substrate interaction: a new heat source model

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Abstract

An electron beam is a widely applied processing tool in welding and additive manufacturing applications. The heat source model of the electron beam acts as the basis of thermal simulations and predictions of the micro-structures and mechanical properties of the final products. While traditional volumetric and surface heat flux models were developed previously based on the observed shape of the molten pool produced by the beam, a new heat source model with a physically informed foundation has been established in this work. The new model was developed based on Monte Carlo simulations performed to obtain the distribution of absorbed energy through electron-atom collisions for an electron beam with a kinetic energy of 60 keV hitting a Ti–6Al–4V substrate. Thermal simulations of a moving electron beam heating a solid baseboard were conducted to compare the differences between the new heat source model, the traditional surface flux model and the volumetric flux model. Although the molten pool shapes with the three selected models were found to be similar, the predicted peak temperatures were noticeably different, which will influence the evaporation, recoil pressure and molten pool dynamics. The new heat source model was also used to investigate the influence of a static electron beam on a substrate. This investigation indicated that the new heat source model could scientifically explain phenomena that the surface and volumetric models cannot, such as eruption and explosion during electron beam processing.

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Acknowledgments

The first author is now a visiting Ph.D. student at the Department of Mechanical Engineering, Northwestern University, and he would like to thank China Scholarship Council (CSC) for the financial support. The second author would like to acknowledge the support of the United States Department of Defense (DoD) in funding his Ph.D. through the National Defense Science and Engineering Graduate (NDSEG) fellowship. This work was performed under the following financial assistance award 70NANB13Hl94 from National Institute of Standards and Technology, and 70NANB14H012 from U.S. Department of Commerce, National Institute of Standards and Technology as part of the Center for Hierarchical Materials Design (CHiMaD).

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Authors and Affiliations

  1. Department of Mechanical and Civil Engineering, Northwestern University, Evanston, IL, 60201, USA

    Wentao Yan, Jacob Smith & Wing Kam Liu

  2. Department of Mechanical Engineering, Tsinghua University, Beijing, 100084, China

    Wentao Yan, Wenjun Ge & Feng Lin

  3. Walter P. Murphy Professor of Mechanical and Civil Engineering, Northwestern University, Evanston, USA

    Wing Kam Liu

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  1. Wentao Yan
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  2. Jacob Smith
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  3. Wenjun Ge
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  4. Feng Lin
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  5. Wing Kam Liu
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Correspondence to Wing Kam Liu.

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Yan, W., Smith, J., Ge, W. et al. Multiscale modeling of electron beam and substrate interaction: a new heat source model. Comput Mech 56, 265–276 (2015). https://doi.org/10.1007/s00466-015-1170-1

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  • DOI: https://doi.org/10.1007/s00466-015-1170-1

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