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

Autor:	Aspri, Andrea, Beretta, Elena, Cavaterra, Cecilia, Rocca, Elisabetta, Verani, Marco
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs
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:	http://arxiv.org/abs/2201.06554 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.