Dynamic stress intensity factors of mode-I crack in high temperature superconductor

• We studied firstly the dynamic fracture in HTS under electromagnetic force.
• The greater the applied field amplitude is, the higher the DSIF value will be.
• Increasing HTS thickness is beneficial to reduce the DSIF peak value.
• The greater critical current density of the HTS is, the smaller DSIF peak values.

The coupled magneto-mechanical model is established for the dynamic fracture problem for the high temperature superconductor (HTS). The superconductor E–J constitutive law is characterized by power law model where the critical current density is assumed to depend exponentially on the flux density. The cracked superconductor under dynamic loading are employed to investigate dynamic fracture behavior such as the variation of dynamic stress intensity factors (DSIFs) for different applied magnetic field amplitude, the thickness of HTS, and critical current density. To evaluate DSIFs for a type-II superconductor under alternating magnetic field, the flux pinning induced magnetoelasticity model proposed to evaluate DSIFs, and is implemented in conjunction with finite element method. The results show that the applied magnetic field amplitude, thickness of HTS, and critical current density are three important factors affecting the dynamic fracture behavior of the HTS.