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Temperature and current density distributions at spark plasma sintering of inhomogeneous samples

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Abstract

We analyze the effect of inhomogeneity in the properties of a material on the conditions of obtaining thermoelectrics by spark plasma sintering. Inclusions localized and distributed over the volume of materials with different values of electric and thermal conductivities are considered. It is found that the presence of macroscopic inhomogeneities changes the current density distribution in the cross section of the sample being sintered. It is shown that inhomogeneity in the properties of materials during sintering do not substantially affect the temperature field in the sample at the macroscopic level, but change the current density distribution profile. The ranges of variation of the current density in the regions with inhomogeneous electric and thermal conductivities are determined for various types of macroscopically inhomogeneous inclusions and their distribution. The applicability of various models for describing spark plasma sintering is considered.

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References

  1. O. Guillon, J. Gonzalez-Julian, B. Dargatz, T. Kessel, G. Schierning, J. Räthel, and M. Herrmann, Adv. Eng. Mater. 16, 830 (2014).

    Article  Google Scholar 

  2. Poudel Bed, Hao Qing, Ma Yi, Lan Yucheng, Minnich Austin, Yu Bo, Yan Xiao, Wang Dezhi, Muto Andrew, Vashaee Daryoosh, Chen Xiaoyuan, Liu Junming, S. Dresselhaus Mildred, Chen Gang, and Ren Zhifeng, Science 320 (5876), 634 (2008).

    Article  Google Scholar 

  3. L. P. Bulat, I. A. Drabkin, V. V. Karatayev, V. B. Osvenskii, Yu. N. Parkhomenko, M. G. Lavrentev, A. I. Sorokin, D. A. Pshenai-Severin, V. D. Blank, G. I. Pivovarov, V. T. Bublik, and N. Yu. Tabachkova, J. Electron. Mater. 42, 2110 (2013).

    Article  ADS  Google Scholar 

  4. I. A. Drabkin, V. B. Osvenskii, Yu. N. Parkhomenko, A. I. Sorokin, G. I. Pivovarov, and L. P. Bulat, J. Thermoelectricity, No. 3, 35 (2013).

    Google Scholar 

  5. I. A. Drabkin, V. V. Karataev, V. B. Osvenskii, Yu. N. Parkhomenko, A. I. Sorokin, L. P. Bulat, G. I. Pivovarov, V. T. Bublik, and N. Yu. Tabachkova, Mater. Elektron. Tekh., No. 3, 66 (2012).

    Google Scholar 

  6. L. P. Bulat, I. A. Drabkin, A. V. Novotel’nova, V. B. Osvenskii, D. A. Pshenai-Severin, A. I. Sorokin, and A. S. Tukmakova, Thermoelectrics and Their Application (FTI im. A. F. Ioffe, St. Petersburg, 2015).

    Google Scholar 

  7. L. P. Bulat, V. B. Osvenskii, Yu. N. Parkhomenko, and D. A. Pshenai-Severin, Phys. Solid State 54, 2165 (2012).

    Article  ADS  Google Scholar 

  8. L. P. Bulat, V. B. Osvenskii, and D. A. Pshenai-Severin, Phys. Solid State 55, 2442 (2013).

    Article  ADS  Google Scholar 

  9. L. P. Bulat, I. Drabkin, V. Karatayev, V. Osvenskii, Y. Parkhomenko, D. Pshenay-Severin, and A. Sorokin, J. Electron. Mater. 43, 2121 (2014).

    Article  ADS  Google Scholar 

  10. L. P. Bulat, V. T. Bublik, I. A. Drabkin, V. V. Karataev, V. B. Osvenskii, Yu. N. Parkhomenko, G. I. Pivovarov, D. A. Pshenai-Severin, and N. Yu. Tabachkova, J. Electron. Mater. 39, 1650 (2010).

    Article  ADS  Google Scholar 

  11. L. I. Anatychuk and L. P. Bulat, Semiconductors under Extreme Temperature Conditions (Nauka, St. Petersburg, 2001).

    Google Scholar 

  12. D. Schwesig, G. Schierning, R. Theissmann, N. Stein, N. Petermann, H. Wiggers, R. Schmechel, and D. E. Wolf, Nanotechnology 22, 135601 (2011).

    Article  ADS  Google Scholar 

  13. A. Becker, S. Angst, A. Schmitz, M. Engenhorst, J. Stoetzel, D. Gautam, H. Wiggers, D. E. Wolf, G. Schierning, and R. Schmechel, Appl. Phys. Lett. 101, 013113 (2012).

    Article  ADS  Google Scholar 

  14. S. Angst, G. Schierning, and D. E. Wolf, AIP Conf. Proc. 1542, 593 (2013).

    Article  ADS  Google Scholar 

  15. S. Fischer, C. Osorio, N. E. Williams, S. Ayas, H. Silva, and A. Gokirmak, J. Appl. Phys. 113, 164902 (2013).

    Article  ADS  Google Scholar 

  16. L. P. Bulat, I. A. Nefedova, and D. A. Pshenay-Severin, Adv. Sci. Technol. 93, 168 (2014).

    Article  Google Scholar 

  17. L. P. Bulat, I. A. Drabkin, A. V. Novotel’nova, V. B. Osvenskii, Yu. N. Parkhomenko, A. I. Sorokin, D. A. Pshenay-Severin, and I. A. Nefedova, Tech. Phys. Lett. 40, 972 (2014).

    Article  ADS  Google Scholar 

  18. N. I. Anatychuk, Thermoelectric Energy Conversion. Thermal Elements. Elements of Thermoelectricity (Inst. Termoelektr., Kyiv, 2003).

    Google Scholar 

  19. U. Anselmi-Tamburinia, S. Gennarib, J. E. Garaya, and Z. A. Munir, Mater. Sci. Eng. A 394, 139 (2005).

    Article  Google Scholar 

  20. L. I. Anatychuk and L. N. Vikhor, Thermoelectrics and its Application (FTI im. A. F. Ioffe, St. Petersburg, 2013), pp. 434–439.

    Google Scholar 

  21. A. V. Kuzmov, E. A. Olevsky, and E. V. Alexandrova, Powder Metall. Met. Ceram., Nos. 11–12, 50 (2012).

    Google Scholar 

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Authors and Affiliations

  1. University of Information Technologies, Mechanics, and Optics (ITMO), Kronverkskii pr. 49, St. Petersburg, 197101, Russia

    L. P. Bulat, A. V. Novotel’nova, A. V. Asach & A. S. Tukmakova

  2. Ioffe Physical Technical Institute, Russian Academy of Sciences, St. Petersburg, 194021, Russia

    D. A. Pshenai-Severin

  3. Federal State Research and Design Institute of Rare Metal Industry (Giredmet), B. Tolmachevskii per. 5, Moscow, 119017, Russia

    V. B. Osvenskii & A. I. Sorokin

Authors
  1. L. P. Bulat
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  2. A. V. Novotel’nova
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  3. D. A. Pshenai-Severin
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  4. V. B. Osvenskii
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  5. A. I. Sorokin
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  6. A. V. Asach
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  7. A. S. Tukmakova
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Corresponding author

Correspondence to A. V. Novotel’nova.

Additional information

Original Russian Text © L.P. Bulat, A.V. Novotel’nova, D.A. Pshenai-Severin, V.B. Osvenskii, A.I. Sorokin, A.V. Asach, A.S. Tukmakova, 2016, published in Zhurnal Tekhnicheskoi Fiziki, 2016, Vol. 61, No. 1, pp. 70–71.

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Bulat, L.P., Novotel’nova, A.V., Pshenai-Severin, D.A. et al. Temperature and current density distributions at spark plasma sintering of inhomogeneous samples. Tech. Phys. 61, 68–75 (2016). https://doi.org/10.1134/S1063784216010072

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  • DOI: https://doi.org/10.1134/S1063784216010072

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