Effect of Inclusions on Magnetostriction in Superconducting Cylinder with Exponential Distribution of Critical-Current Density

  • Yufeng ZhaoEmail author
  • Zhiguo Liu
  • Kun Xiong
Original Paper


The magnetoelastic behaviour subjected to the electromagnetic body force induced by flux pinning is studied with Kim model for zero-field cooling (ZFC) magnetization process, in which the non-uniform parameter η is considered for inclusion-superconducting matrix system. For superconducting composites, the effect of inhomogeneous distribution of critical current density on effective magnetostriction is also obtained based on the plane strain approach. The results show that the exponential distribution of critical-current density will lead to a larger trapped field and magnetostriction inside the inhomogeneous sample, which also means that it is worthwhile to investigate the magnetoelastic problem of bulk superconductors with inhomogeneous distribution of critical-current density.


Magnetostriction Exponential distribution of critical-current density Nonsuperconducting inclusion Kim model 


Funding Information

This research was supported by the fund of Natural Science Foundation of China (No. 11662009) and Natural Science Foundation of Gansu Province (No. 17JR5RA129).


  1. 1.
    Inanir, F., Çelebi, S., Altunbaş, M., Okutan, M., Erdogan, M.: Critical state magnetostriction of type-II superconductors under viscous flux flow. Physica C. 459, 11 (2007)ADSCrossRefGoogle Scholar
  2. 2.
    Gao, Z.W., Zheng, Z.Y.: Effects of the interfacial transition on the giant magnetostriction in a superconductor–substrate structure. IEEE Trans. Appl. Supercond. 26, 1 (2016)Google Scholar
  3. 3.
    Ceniga, L., Diko, P.: Matrix crack formation in Y-Ba-Cu-O superconductor. Physica C. 385, 329 (2003)ADSCrossRefGoogle Scholar
  4. 4.
    Murakami, M., Fujimoto, H., Yamaguchi, K., Nakamura, N., Koshizuka, N., Tanaka, S.: Flux pinning sites in melt-processed YBacuo superconductors. Phase Transit. 41, 69 (2006)CrossRefGoogle Scholar
  5. 5.
    Zhao, Y.F., Pan, B.C.: 3D modeling effect of spherical inclusions on the magnetostriction of bulk superconductors. J. Low Temp. Phys. 190, 213 (2018)ADSCrossRefGoogle Scholar
  6. 6.
    Hamrita, A., Azzouz, F.B., Dachraoui, W., Salem, M.B.: The effect of silver inclusion on superconducting properties of YBa2Cu3Oy prepared using planetary ball milling. J Supercond Novel Magn. 26, 879 (2013)CrossRefGoogle Scholar
  7. 7.
    Yong, H.D., Zhou, Y.H.: Effect of nonsuperconducting particles on the effective magnetostriction of bulk superconductors. J Appl Phys. 104, 043907 (2008)ADSCrossRefGoogle Scholar
  8. 8.
    Xue, F., Zhang, Z., Zeng, J., Gou, X.F.: Effect of an elliptical inclusion on critical current density of a long cylindrical high-Tc superconductor. J. Supercond. Novel Magn. 29, 2023 (2016)CrossRefGoogle Scholar
  9. 9.
    Huang, C.G., Yong, H.D., Zhou, Y.: Effect of magnetic nanoparticles on the mechanical properties of type-II superconductors. Acta Mech. Solida Sin. 27, 65 (2014)CrossRefGoogle Scholar
  10. 10.
    Ikuta, H., Kishio, K., Kitazawa, K.: Critical state models for flux-pinning-induced magnetostriction in type-II superconductors. J. Appl. Phys. 76, 4776 (1994)ADSCrossRefGoogle Scholar
  11. 11.
    Moutalbi, N., M’Chirgui, A., Noudem, J.G.: Size effect of insulating nano-inclusions in Y-Ba-Cu-O bulk superconductors fabricated by seeded infiltration growth. J. Supercond. Novel Magn. 24, 365 (2011)CrossRefGoogle Scholar
  12. 12.
    Zhao, Y.F., Pan, B.C., Liu, Z.G.: Effect of magnetic inclusions on the effective magnetostriction of bulk superconductors. . Journal of Low Temperature Physics, 192, 88 (2018)Google Scholar
  13. 13.
    Rodriguez, J.P., Barnes, P.N., Varanasi, C.V.: In-field critical current of type-II superconductors caused by strain from nanoscale columnar inclusions. Physical Review B Condensed Matter, 78, 052505 (2012)Google Scholar
  14. 14.
    Inada, R., Nakamura, Y., Oota, A.: Evaluation of AC losses in cable conductors using thin superconducting tapes with non-uniform Jc distribution. Physica C. 442, 139 (2006)ADSCrossRefGoogle Scholar
  15. 15.
    Zhao, Y.F., Xu, C., Shi, L.: Crack problem in superconducting cylinder with exponential distribution of critical-current density. Physica C. 547, 30 (2018)ADSCrossRefGoogle Scholar
  16. 16.
    Inada, R., Nakamura, Y., Oota, A.: Numerical analysis for AC losses in single-layer cables composed of rectangular superconducting strips with various lateral Jc distributions. J. Phys.: Conf. Ser. 97, 012324 (2008)Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.State Key Laboratory of Advanced Processing and Recycling of Nonferrous MetalsLanzhou University of TechnologyLanzhouChina
  2. 2.School of ScienceLanzhou University of TechnologyLanzhouChina

Personalised recommendations