Autor: |
Aspri, Andrea, Beretta, Elena, Cavaterra, Cecilia, Rocca, Elisabetta, Verani, Marco |
Rok vydání: |
2022 |
Předmět: |
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Druh dokumentu: |
Working Paper |
DOI: |
10.1007/s00245-022-09897-6 |
Popis: |
In this paper, we deal with the inverse problem of the shape reconstruction of 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 modeled as inclusions with a very small elasticity tensor. |
Databáze: |
arXiv |
Externí odkaz: |
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