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.
Size estimates for nanoplates / A. Morassi, E. Sincich, E. Rosset, S. Vessella. - In: INVERSE PROBLEMS. - ISSN 0266-5611. - STAMPA. - 39:(2023), pp. 1-25. [10.1088/1361-6420/acca9f]
Size estimates for nanoplates
S. Vessella
2023
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.
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