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This paper is concerned with the reconstruction issue of an inverse crackproblem in a two-dimensional bounded domain which may have a possibleapplication to the nondestructive evaluation of materials. It is assumed thatthe domain consists of two elastic plates welded together and has some unknowncracks on the junction line and the governing equation of in-plane displacementis Navier's equation. The problem is to extract information about the locationof cracks from the observation data which is a single set of a loading surfacetraction and the resulted in-plane displacement field on the boundary of thedomain. It is shown that the enclosure method combined with the Kelvintransform yields explicit extraction formulae of such information from theobservation data.

On extracting the positions of multiple unknown cracks that occur on the junction line of two elastic plates