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Optimal identification of cavities in the Generalized Plane Stress problem in linear elasticity

Morassi A.
•
Rosset E.
•
Vessella S.
2023
  • journal article

Periodico
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
Abstract
For the Generalized Plane Stress (GPS) problem in linear elasticity, we obtain an optimal stability estimate of logarithmic type for the inverse problem of determining smooth cavities inside a thin isotropic cylinder from a single boundary measurement of traction and displacement. The result is obtained by reformulating the GPS problem as a Kirchhoff-Love plate-like problem in terms of the Airy function, and by using the strong unique continuation at the boundary for a Kirchhoff-Love plate operator under homogeneous Dirichlet conditions, which has recently been obtained in [G. Alessandrini et al., Arch. Ration. Mech. Anal. 231 (2019)].
DOI
10.4171/jems/1190
Archivio
https://hdl.handle.net/11390/1251271
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85154043646
https://ricerca.unityfvg.it/handle/11390/1251271
Diritti
open access
Soggetti
  • cavity

  • Generalized Plane Str...

  • Inverse problem

  • stability estimates

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