In this paper we deal with the inverse problem of determining cavities and inclusions embedded in a linear elastic isotropic medium from boundary displacement's measurements. For, we consider a constrained minimization problem involving a boundary quadratic misfit functional with a regularization term that penalizes the perimeter of the cavity or inclusion to be identified. Then using a phase field approach we derive a robust algorithm for the reconstruction of elastic inclusions and of cavities modelled as inclusions with a very small elasticity tensor.

Identification of Cavities and Inclusions in Linear Elasticity with a Phase-Field Approach / A. Aspri, E. Beretta, C. Cavaterra, E. Rocca, M. Verani. - In: APPLIED MATHEMATICS AND OPTIMIZATION. - ISSN 0095-4616. - 86:3(2022), pp. 32.1-32.41. [10.1007/s00245-022-09897-6]

Identification of Cavities and Inclusions in Linear Elasticity with a Phase-Field Approach

A. Aspri
Primo
;
C. Cavaterra;
2022

Abstract

In this paper we deal with the inverse problem of determining cavities and inclusions embedded in a linear elastic isotropic medium from boundary displacement's measurements. For, we consider a constrained minimization problem involving a boundary quadratic misfit functional with a regularization term that penalizes the perimeter of the cavity or inclusion to be identified. Then using a phase field approach we derive a robust algorithm for the reconstruction of elastic inclusions and of cavities modelled as inclusions with a very small elasticity tensor.
English
Inverse problems; Cavity; Phase-field; Linear elasticity; Primal dual active set method
Settore MAT/05 - Analisi Matematica
Articolo
Esperti anonimi
Ricerca di base
Pubblicazione scientifica
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   201744KLJL_005

   Advanced polyhedral discretisations of heterogeneous PDEs for multiphysics problems
   MINISTERO DELL'ISTRUZIONE E DEL MERITO
   20204LN5N5_004
2022
SPRINGER
86
3
32
1
41
41
Pubblicato
Periodico con rilevanza internazionale
wos
crossref
Aderisco
info:eu-repo/semantics/article
Identification of Cavities and Inclusions in Linear Elasticity with a Phase-Field Approach / A. Aspri, E. Beretta, C. Cavaterra, E. Rocca, M. Verani. - In: APPLIED MATHEMATICS AND OPTIMIZATION. - ISSN 0095-4616. - 86:3(2022), pp. 32.1-32.41. [10.1007/s00245-022-09897-6]
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Prodotti della ricerca::01 - Articolo su periodico
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Article (author)
Periodico con Impact Factor
A. Aspri, E. Beretta, C. Cavaterra, E. Rocca, M. Verani
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/939633
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