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Flux-Pinning-Induced Stress and Deformation Analyses of a Long Rectangular Superconducting Bicrystal

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Abstract

The flux-pinning-induced stress and deformation of a long rectangular superconducting bicrystal with an arbitrary aspect ratio are analyzed based on the critical-state model and the finite element numerical method. The flux and current distributions in the superconductor with a low-angle grain boundary (GB) are obtained based on a constant GB critical current density assumption. The distributions of the stresses within the superconductor are obtained for different magnetization stages. The deformation and especially the shape distortion in the irreversible magnetostriction of the superconductor are analyzed. In addition, the relation between the maximum stress on the grain boundary and the ratio of the GB critical current density to the grain critical current density is discussed when the applied magnetic field is reduced to zero.

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References

  1. Sanchez, A., Navau, C., Del-Valle, N., Chen, D.X., Clem, J.R.: Appl. Phys. Lett. 96, 072510 (2010)

    Article  ADS  Google Scholar 

  2. Murakami, M.: Int. J. Appl. Ceram. Technol. 4, 225 (2007)

    Article  Google Scholar 

  3. Li, B., Zhou, D., Xu, K., Hara, S., Tsuzuki, K., Miki, M., Felder, B., Deng, Z., Izumi, M.: Phys. C 482, 50 (2012)

    Article  ADS  Google Scholar 

  4. Zhou, D., Izumi, M., Miki, M., Felder, B., Ida, T., Kitano, M.: Supercond. Sci. Technol. 25, 103001 (2012)

    Article  ADS  Google Scholar 

  5. Tomita, M., Murakami, M.: Nature 421, 517 (2003)

    Article  ADS  Google Scholar 

  6. Aydiner, A., Yanmaz, E.: Supercond. Sci. Technol. 18, 1010 (2005)

    Article  ADS  Google Scholar 

  7. Durrell, J.H., Dennis, A.R., Jaroszynski, J., Ainslie, M.D., Palmer, K.G.B., Shi, Y.H., Campbell, A.M., Hull, J., Strasik, M., Hellstrom, E.E., Cardwell, D.A.: Supercond. Sci. Technol. 27, 082001 (2014)

    Article  ADS  Google Scholar 

  8. Diko, P.: Supercond. Sci. Technol. 17, R45 (2004)

    Article  ADS  Google Scholar 

  9. Gao, Z.W., Zhou, Y.H.: Phys. Lett. A 372, 5261 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  10. Kenfaui, D., Sibeud, P.F., Louradour, E., Chaud, X., Noudem, J.G.: Adv. Funct. Mater. 24, 3996 (2014)

    Article  Google Scholar 

  11. Ikuta, H., Hirota, N., Nakayama, Y., Kishio, K., Kitazawa, K.: Phys. Rev. Lett. 70, 2166 (1993)

    Article  ADS  Google Scholar 

  12. Hirota, N., Ikuta, H., Heill, L.K., Yasunaka, T., Kishio, K., Kitazawa, K.: J. Supercond. 7, 283 (1994)

    Article  ADS  Google Scholar 

  13. Nabialek, A., Komorowshi, P., Gutowska, M.U., Balbashov, M.A., Gorecka, J.N., Szymczak, H., Mironov, O.A.: Supercond. Sci. Technol. 10, 786 (1997)

    Article  ADS  Google Scholar 

  14. Fülber, K., Geerkens, A., Ewert, S., Winzer, K.: Phys. C 299, 1–8 (1998)

    Article  ADS  Google Scholar 

  15. Ikuta, H., Kishio, K., Kitazawa, K.: J. Appl. Phys. 76, 4776 (1994)

    Article  ADS  Google Scholar 

  16. Koziol, Z., Dunlap, R.A.: J. Appl. Phys. 79, 4662 (1996)

    Article  ADS  Google Scholar 

  17. Johansen, T.H., Bratsberg, H., Lothe, J.: Supercond. Sci. Technol. 11, 1186 (1998)

    Article  ADS  Google Scholar 

  18. Johansen, T.H., Shantsev, D.V.: Supercond. Sci. Technol. 16, 1109 (2003)

    Article  ADS  Google Scholar 

  19. Yong, H.D., Zhou, Y.H.: J. Appl. Phys. 104, 043907 (2008)

    Article  ADS  Google Scholar 

  20. Yong, H.D., Jing, Z., Zhou, Y.H.: Phys. C 483, 51 (2012)

    Article  ADS  Google Scholar 

  21. Feng, W.J., Ma, P., Li, Q.H., Liu, J.X.: J. Supercond. Nov. Magn. 26, 539 (2013)

    Article  Google Scholar 

  22. Dimos, D., Chaudhari, P., Mannhart, J., LeGoues, F.K. Phys. Rev. Lett. 61, 219 (1988)

    Article  ADS  Google Scholar 

  23. Hirth, J.B., Lothe, J.: Theory of Dislocations. McGraw-Hill, New York (1968)

    Google Scholar 

  24. Sutton, A.P., Balluffi, R.W.: Interfaces in Crystalline Materials. Clarendon, Oxford (1995)

    Google Scholar 

  25. Graser, S., Hirschfeld, P.J., Kopp, T., Gutser, R., Andersen, B.M., Mannhart, J.: Nat. Phys. 6, 609 (2010)

    Article  Google Scholar 

  26. Pande, C.S., Suenaga, M.: Appl. Phys. Lett. 29, 443 (1976)

    Article  ADS  Google Scholar 

  27. Polyanskii, A.A., Gurevich, A., Pashiski, A.E., Heinig, N.F., Redwing, R.D., Nordman, J.E., Larbalestier, D.C.: Phys. Rev. B 53, 8687 (1996)

    Article  ADS  Google Scholar 

  28. Jooss, C., Albrecht, J., Kuhn, H., Leonhardt, S., Kronmuller, H.: Rep. Prog. Phys. 65, 651 (2002)

    Article  ADS  Google Scholar 

  29. Gou, X.F., Zhu, G.: Chin. Phy. Lett. 32, 037401 (2015)

    Article  ADS  Google Scholar 

  30. van der Lann, D.C., Haugan, T.J., Barnes, P.N., Abraimov, D., Kametani, F., Larbalestier, D.C., Rupich, M.W.: Supercond. Sci. Technol. 23, 014004 (2010)

    Article  ADS  Google Scholar 

  31. van der Lann, D.C., Ekin, J.W.: Appl. Phys. Lett. 90, 052506 (2007)

    Article  ADS  Google Scholar 

  32. Yue, D., Zhang, X., Zhou, J., Zhou, Y.L.: Appl. Phys. Lett. 103, 232602 (2013)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This research was supported by a grant of the Fund of Natural Science Foundation of China (Nos. 11402073 and 11372096), the China Postdoctoral Science Foundation (No. 2013M531260), the Fund of Natural Science Foundation of Jiangsu Province (No. BK20130824), the Program for Research Fund for the Doctoral Program of Higher Education of China, and the Fundamental Research Funds for the Central Universities (No. 2013B05014).

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Authors and Affiliations

  1. Department of Engineering Mechanics, Hohai University, Nanjing, People’s Republic of China, 210098

    Feng Xue, Wenqing Zhang & Xiaofan Gou

  2. College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou, Zhejiang, People’s Republic of China, 310014

    Jun Zeng

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  1. Feng Xue
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  2. Wenqing Zhang
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  3. Jun Zeng
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  4. Xiaofan Gou
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Correspondence to Feng Xue.

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Xue, F., Zhang, W., Zeng, J. et al. Flux-Pinning-Induced Stress and Deformation Analyses of a Long Rectangular Superconducting Bicrystal. J Supercond Nov Magn 29, 2495–2501 (2016). https://doi.org/10.1007/s10948-016-3612-1

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  • DOI: https://doi.org/10.1007/s10948-016-3612-1

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