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We consider the problem of identifying unknown inclusions inside an elastic body by means of traction-displacement relations measured on the boundary. Based on the asymptotic formula of Ammari et al (2003 J. Elast. at press), we propose an algorithm to reconstruct unknown inclusions. The algorithm of this paper detects the location and the elastic moment tensors (elastic Pólya-Szegö tensors) of the inclusion. Since the elastic moment tensors carry information on the size of the inclusion, wedoi:10.1088/0266-5611/19/3/314 fatcat:s3ctqxf5ibez5ddzn2opwwdbey