%0 Journal Article %T Electrical impedance spectroscopy-based nondestructive testing for imaging defects in concrete structures %A Habib Ammari %A Jin Keun Seo %A Tingting Zhang %A Liangdong Zhou %J Mathematics %D 2014 %I arXiv %X An electrical impedance spectroscopy-based nondestructive testing (NDT) method is proposed to image both cracks and reinforcing bars in concrete structures. The method utilizes the frequency-dependent behavior of thin insulating cracks: low-frequency electrical currents are blocked by insulating cracks, whereas high-frequency currents can pass through the conducting bars without being blocked by thin cracks. Rigorous mathematical analysis relates the geometric structures of the cracks and bars to the frequency-dependent Neumann-to-Dirichlet data. Various numerical simulations support the feasibility of the proposed method. %U http://arxiv.org/abs/1405.4582v1