Abstract
The densification of a thermoelectric material based on p-type Ge–Si during spark plasma sintering is simulated. The simulation uses the finite-element method within the Comsol Multiphysics program. The model of mechanical processes is based on the results of previous simulations of the sintering of powder metal materials and ceramics. The mechanical processes described include elastic and plastic deformation of the treated material. The calculation takes into account the influence of the material porosity on the thermal, electrical and mechanical properties. The sintering pressure formed as a result of compression and thermal expansion of the sample is calculated. The change in the sample diameter upon holding at the maximum temperature is calculated.
Similar content being viewed by others
REFERENCES
O. Guillon, J. Gonzalez-Julian, B. Dargatz, B. Dargatz, T. Kessel, G. Schierning, J. Räthel, and M. Herrmann, Adv. Eng. Mater. 16, 830 (2014).
W. Wang, H. Qi, P. Liu, Y. Zhao, and H. Chang, Metals 8, 537 (2018).
P. Han, X. Z. An, Y. X. Zhang, and Z. S. Zou, J. Min. Metall., Sect. B: Metall. 51, 163 (2015).
Y. Song, Y. Li, Z. Zhou, Y. Lai, and Y. Ye, J. Mater. Sci. 46, 5645 (2011).
C. Manière, L. Durand, A. Weibel, and C. Estournès, Acta Mater. 102, 169 (2016).
P. Mondalek, L. Silva, and M. Bellet, Adv. Eng. Mater. 13, 587 (2011).
G. Maizza, J. Mater. Sci. 52, 10341 (2017).
L. P. Bulat, A. V. Novotelnova, A. S. Tukmakova, D. Yerezhep, V. B. Osvenskii, A. I. Sorokin, V. P. Panchenko, L. V. Bochkov, and S. Asmontas, J. Electron. Mater. 47, 1589 (2018).
A. Usenko, D. Moskovskikh, M. Gorshenkov, A. Voronin, A. Stepashkin, S. Kaloshkin, D. Arkhipov, and V. Khovaylo, Scr. Mater. 127, 63 (2017).
D. Wang, Y. Wu, M. Jiao, J. Yu, T. Xie, and Y. Yin, Powder Metall Technol. 26, 88 (2008).
J. M. Montes, F. G. Cuevas, and J. Cintas, Metall. Mater. Trans. B: Proc. Metall. Mater. Proc. Sci. 38, 957 (2007).
Y. Li, P. Chen, W. Xia, Z. Zhou, and W. Li, Trans. Nonferrous. Metal. Soc. 16, 507 (2006).
Y. Song, Y. Y. Li, Z. Y. Zhou, Z. X. Zheng, and P. Q. Chen, Trans. Nonferrous. Metal. Soc. 20, 1470 (2010).
A. Fedotov, J. Mater. Sci. 52, 2964 (2017).
J. R. Gladden, G. Li, R. Adebisi, S. Firdosy, T. Caillat, and V. Ravi, Phys. Rev. B 82, 045209 (2010).
G. A. Slack and S. F. Bartram, J. Appl. Phys. 46, 89 (1975).
FUNDING
This study was supported by the Russian Foundation for Basic Research, project no. 18-38-00371.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by Yu. Sin’kov
Rights and permissions
About this article
Cite this article
Tukmakova, A.S., Samusevich, K.L., Novotelnova, A.V. et al. Simulation of Thermoelectric Materials Densification during Spark Plasma Sintering with the Example of Ge–Si. Semiconductors 53, 772–774 (2019). https://doi.org/10.1134/S1063782619060289
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063782619060289