Fracture behaviors for a functionally graded superconducting cylinder with a cylindrical crack

In this study, a double exponential model is proposed to investigate the cylindrical crack problem for a functionally graded superconducting cylinder. The stress intensity factors (SIFs) are analytically obtained by transforming the corresponding crack problem into dual integral equations. The effects of applied magnetic field, model parameters, and crack configuration on the SIFs are analyzed. Some important phenomena are observed. Among others, both decreasing the graded index of Young's modulus and increasing the introduced nondimensional exponent parameter in the critical current model can inhibit crack propagation. This study should be useful for the application of superconducting devices.