Identification of 2D cracks by elastic boundary measurements

The purpose of this work is to identify two-dimensional (2D) cracks by means of elastic boundary measurements. A uniqueness result is first proved in the general case, as well as the local Lipschitzian stability in the case of line segment emergent cracks. In this last case, the search for the unique zero of the reciprocity gap functional related to the singular solution of the elasticity problem provides a fast algorithm to determine the unknown crack tip.