Electromagnetic response analysis of high temperature superconducting coated conductor tape with local debonding: Case of transporting current in an external magnetic field

In this article, the electromagnetic mechanical behavior of a long superconducting coating tape within a local internal cracking was analyzed when it transport current in a perpendicular magnetic field. Based on the superconducting critical state model, the distribution of current and magnetic field within the structure were calculated. Then, the control equation for the correlation between the flux pinning force inside the superconducting thin film and the shear force at the substrate interface was given using the plane strain method of linear elasticity theory. Combined with the Chebyshev polynomial solution, the distribution patterns of normal stress inside the superconducting thin film and shear stress at the substrate interface were finally obtained. The results indicate that, unlike the phenomenon observed under a single field excitation, the stress distribution in the structure exhibits an asymmetric distribution when both transport current and external magnetic field are applied. The normal stress inside the superconducting thin film is significantly larger on the right side of the structure than that on the left side, and the same distribution law is found in the shear stress at the substrate interface. The stress concentration occurs at the separation point between the film and the substrate. When the Young's modulus of the substrate material is high, the normal stress inside the superconducting film is low, while the shear stress at the interface is high, and vice versa. All these results provide theoretical guidance for the application of superconducting tapes.