Abstract
Abstract
We consider the problem of determining, within an elastic isotropic nanoplate in bending, the possible presence of an inclusion made of different elastic material. Under suitable a priori assumptions on the unknown inclusion, we provide quantitative upper and lower estimates for the area of the unknown defect in terms of the works exerted by the boundary data when the inclusion is present and when it is absent.
Subject
Applied Mathematics,Computer Science Applications,Mathematical Physics,Signal Processing,Theoretical Computer Science
Reference31 articles.
1. Electrical impedance tomography;Adler,2015
2. Generic uniqueness and size estimates in the inverse conductivity problem with one measurements;Alessandrini;Matematiche,1999
3. Detecting an inclusion in an elastic body by boundary measurements;Alessandrini;SIAM J. Math. Anal.,2002
4. Size estimates, Inverse problems: theory and applications;Alessandrini,2003
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