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arXiv · 2201.06554

Identification of cavities and inclusions in linear elasticity with a phase-field approach

Andrea Aspri·Elena Beretta·Cecilia Cavaterra·Elisabetta Rocca·Marco Verani
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Abstract

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.

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Andrea Aspri, Elena Beretta, Cecilia Cavaterra, Elisabetta Rocca, Marco Verani. 2022-01-17. Identification of cavities and inclusions in linear elasticity with a phase-field approach. https://doi.org/10.1007/s00245-022-09897-6

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