Inversion of defects by linearized inverse scattering methods with measured waveforms

Abstract

The size, shape, and location of defects are fundamental information to estimate the residual life of the structural component. The linearized inverse scattering methods are investigated to reconstruct the shape of defects in the two-dimensional elastic body. The methods are based on the Born and Kirchhoff approximations for unknown displacements in the integral representation of the scattered field. To show the performance of the methods, the specimen that has the circular cavity with cracks is prepared and the backscattering data are measured. The measured waveforms are processed and fed into the inverse methods. The results show the capability of the methods to reconstruct the shape and size of defects. It is important to distinguish the crack-like defects from the volumetric defects like a circular cavity.