Qualitative Defects Detection in Plane Linear Piezoelastic Media Using Linear Sampling Method

In this paper, the linear sampling method is introduced for cavity detection in a two dimensional (2D) piezoelastic media using measurement of data on the boundary. This method is categorized as a qualitative approach to image the geometrical features of unknown targets. Although this method has been used in the context of inverse problems such as acoustics, electromagnetism and elastostatic, there is no specific attempt to apply this method to identification of cavities in piezoelastic media. This study emphasizes the implementation of the linear sampling method coupled with the finite element method (FEM). A set of numerical simulations on two-dimensional problems is presented to highlight many effective features of the proposed qualitative identification method.