Identification of cracks in three-dimensional bodies by many boundary measurements

Let be a three-dimensional body with an interior two-dimensional crack . It will be shown that the location and size of the crack is uniquely determined by measurements on the boundary of . Moreover, the physical behaviour of the crack will be identified. Our model is the following. Inside the body, with the exception of the crack, we assume a harmonic potential. A current flux will be implemented on and we measure the voltage potential there.