Analytical approach for fast computation of magnetic flux leakage due to surface defects

In this work, a fast analytical expression for the magnetic flux leakage due to a surface defect rotated at arbitrary angle to the external applied magnetic field was developed. The analytical results were compared with the numerical results (based on finite element method) and showed excellent agreement. The current work represents an important advancement in the development of fast algorithms for the simulation of magnetic flux leakage for magnetic non-destructive inspection such as magnetic flux leakage (MFL) or magnetic particle inspection (MPI).