Development of a simplified numerical model for the design of 2G high-temperature superconductors


  • K Natalia
  • S Isam
  • C Bruzek
  • G Vega
  • K German



Within the past few years robust superconductor known as Second-generation (2G) High Temperature Superconductor (HTS) were developed for different industrial applications. Their fabrication includes a phase of large bending, which induces both axial and shear stresses, which could lead to the degradation of the super-conductive substrate. The design of HTS requires analysis of the stress and strains induced during their fabrication. The use of the finite element method for the analysis of this complex material requires large meshes and computation time, because of the ultra-small thickness of the supra-conductive substrate. In this paper, we present a simplified model, which is based on the classical beam theory together with the discretization of each layer in small sub-layers working under purely axial stress. The model takes into consideration the plastic behaviour of the HTS constitutive materials. The model is validated by its confrontation to finite element analyses. Then it is used for the optimal design of HTS by the analysis of different industrial configurations. Analyses lead to some recommendations concerning the optimal configurations that reduce the stresses in the supra-conductive substrate.


Gorospe, A., Nisay, A. and Shin, H.-S., 2014. Delamination behaviour in differently copper laminated REBCO coated conductor tapes under transverse loading. Physica C, Volume 504, pp. 47–52.

Jeong, H., Park, H., Kim, S. et al., 2012. Delamination characteristics of coated conductor for conduction cooled HTS coil. IEEE Transaction on applied superconductivity, 22(3).

Myazato, T., Hojo, M. et al., 2011. Mode I type delamination fracture toughness of YBCO coated conductor with additional Cu layer. Physica C, Volume 471, pp. 1071–1074.

Nishijima, G. and Kitaguchi, H., 2012. Transport and mechanical property evaluation for Cu stabilized PLD-GdBa CuO coated conductor. IEEE Transactions on applied superconductivity, 22(3).

Van der Laan, D. C., Eckin, J. W., Clickner, C. C. and Stauffer, T. C., 2007. Delamination strength of YBCO coated conductors under transverse tensile stress. Superconductor Science and Technology, Issue 20, pp. 765–770.

Van der Laan, D. C. and Ekin, J. W., 2008. Dependence of the critical current of YBa2Cu3O7–δ coated conductors on in-plane bending. Superconductor Science and Technology, Issue 21, pp. 1–6.

Van der Laan, D. C. et al., 2010. Effect of strain, magnetic field and field angle on the critical current density of YBa2Cu3O7–δ coated conductors. Superconductor Science and Technology, Issue 23, pp. 1–7.

Yanagisawa, Y., Nakagome, H., Nakagome, H. et al., 2011. Remarkable weakness against cleavage stress for YBCO-coated conductors and its effect on the YBCO coil performance. Physica C, Volume 471, pp. 480–485.

Zhang, Y., Duvall, J., Knoll, A. et al., 2011. Development of testing method for adhesion strength characteriza-tion of 2G HTS wire. Osaka, The 15th Japan – US Workshop on Advanced Superconductors.



How to Cite

Natalia, K., Isam, S., Bruzek, C., Vega, G. and German, K. (2015) “Development of a simplified numerical model for the design of 2G high-temperature superconductors”, The International Journal of Multiphysics, 9(4), pp. 361-372. doi: 10.1260/1750-9548.9.4.361.