The effect of film material thermal conductivity on the melting threshold of the film-substrate system depending on the film thickness during a low-energy high-current electron beam (LEHCEB) irradiation is analyzed based on the numerical solution of the one-dimensional nonstationary heat equation with a volumetric thermal source. The experimentally obtained waveforms of the beam current at the collector and the accelerating voltage are used to simulate the heating source. The film thermal conductivity is numerically varied in a wide range, overlapping the entire range for real materials. The dependence of the melting threshold of a homogeneous material on the thermal conductivity is determined. The general behavior regularities of the film and substrate melting thresholds in dependence of the film thickness are established.
Similar content being viewed by others
References
A. B. Markov, A. V. Mikov, G. E. Ozur, et al., Instruments and Experimental Techniques, 54, 862 (2011).
A. D. Pogrebnjak, O. G. Bakharev, V. V. Sushko, et al., Surf. Coat. Technol., 99, No. 1–2, 98 (1998).
C. Zhang, P. Lv, Xia H., et al., Vacuum, 169, 263 (2019).
C. Zhang, J. Guan, Sh. Tian, et al., Surf. Coat. Technol., 444, No. 128640 (2022).
K. A. Osintsev, V. E. Gromov, S. V. Vorob’ev, et al., Steel in Translation, 4 (2022).
C. Zhang, P. Lv, J. Cai, et al., Appl. Surf. Sci., 422, 582 (2017).
G. Tang, D. Luo, G. Fan, et al., Nucl. Instrum. Methods Phys. Res. B, 398, 9 (2017).
D. Luo, G. Tang, X. Ma, et al., Appl. Surf. Sci., 351, 1067 (2015).
A. A. Neiman, V. O. Semin, L. L. Meisner, and M. G. Ostapenko, J. Alloys Compd., 803, 721 (2019).
L. L. Meisner, V. O. Semin, Yu. P. Mironov, et al., Mater. Today Commun., 17, 169 (2018).
A. S. Grenadyorov, A. A. Solovyev, K. V. Oskomov, et al., Vacuum, 204, No. 111369 (2022).
Yukui Gao, Appl. Surf. Sci., 257, 7455 (2008).
A. B. Markov, A. V. Solovyov, E. V. Yakovlev, et al., J. Phys.: Conf. Ser., 2064, No. 012058 (2021).
A. V. Bolgarskii, G. A. Mukhachev, and V. K. Shchukin, Thermodynamics and Heat Transfer [in Russian], VysshayaShkola, Moscow (1975).
V. Rotshtein, Yu. Ivanov, and A. Markov, Materials Surface Processing by Directed Energy Techniques (Ed. Y. Pauleau), Chap. 6, 205–240, Elsevier, Oxford (2006).
A. B. Markov and V. P. Rotshtein, Nucl. Instrum. Methods Phys. Res. B, 132, No. 1, 79 (1997).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 93–98, November, 2022.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Markov, A.B., Solovyov, A.V. Melting Thresholds of the Film-Substrate System Irradiated with a Low-Energy High-Current Electron Beam. Russ Phys J 65, 1893–1899 (2023). https://doi.org/10.1007/s11182-023-02848-w
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11182-023-02848-w