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

Aspri A.;Beretta E.;Rocca E.;Verani M.
2022-01-01

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.
2022
Cavity
Inverse problems
Linear elasticity
Phase-field
Primal dual active set method
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1237583
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