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OPTIMAL STABILITY IN THE IDENTIFICATION OF A RIGID INCLUSION IN AN ISOTROPIC KIRCHHOFF-LOVE PLATE.
- Source :
-
SIAM Journal on Mathematical Analysis . 2019, Vol. 51 Issue 2, p731-747. 17p. - Publication Year :
- 2019
-
Abstract
- In this paper we consider the inverse problem of determining a rigid inclusion inside a thin plate by applying a couple field at the boundary and by measuring the induced transversal displacement and its normal derivative at the boundary of the plate. The plate is made by non-homogeneous, linearly elastic, and isotropic material. Under suitable a priori regularity assumptions on the boundary of the inclusion, we prove a constructive stability estimate of log type. A key mathematical tool is a recently proved optimal three-spheres inequality at the boundary for solutions to the Kirchhoff-Love plate's equation. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DIGITAL image correlation
*PLATING baths
*INVERSE problems
*PLATING
*IDENTIFICATION
Subjects
Details
- Language :
- English
- ISSN :
- 00361410
- Volume :
- 51
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Mathematical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 136698428
- Full Text :
- https://doi.org/10.1137/18M1203286