Reconstruction of inclusions in an elastic body

Abstract

We consider the reconstruction of elastic inclusions embedded inside of a planar region, hounded or unbounded, with isotropic inhomogeneous elastic parameters by measuring displacements and tractions at the boundary. We probe the medium with complex geometrical Optics Solutions having polynomial-type phase functions. Using these solutions we develop all algorithm to reconstruct the exact shape of a large class of inclusions including star-shaped domains and we implement numerically this algorithm for some examples. (C) 2009 Elsevier Masson SAS. All rights reserved.