Identification of cavities and inclusions in linear elasticity with a phase-field approach
Analysis of PDEs
2022-07-26 v2
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.
Keywords
Cite
@article{arxiv.2201.06554,
title = {Identification of cavities and inclusions in linear elasticity with a phase-field approach},
author = {Andrea Aspri and Elena Beretta and Cecilia Cavaterra and Elisabetta Rocca and Marco Verani},
journal= {arXiv preprint arXiv:2201.06554},
year = {2022}
}