Accès ouvert

Higher-order topological asymptotic formula for the elasticity operator and application

Article scientifique 2023 Anglais

Résumé

Abstract This paper is concerned with a geometric inverse problem related to the elasticity equation. We aim to identify an unknown hole from boundary measurements of the displacement field. The Kohn-Vogelius concept is employed for formulating the inverse problem as a topology optimization one. We develop a topological sensitivity analysis based method for detecting the location, size and shape of the unknown hole. We derive a higher-order asymptotic formula describing the variation of a Kohn-Vogelius type functional with respect to the creation of an arbitrary shaped hole inside the computational domain.

Citer ce document

Barhoumi, M. (2023). Higher-order topological asymptotic formula for the elasticity operator and application. https://doi.org/10.21203/rs.3.rs-3279854/v1

Accès au document

Texte intégral en lecture en ligne, réservé aux abonnés SPHAERO et aux membres de l'institution. Se connecter

Voir l'article sur le site de la revue

Auteur(s)

Montassar Barhoumi

Statistiques

Consultations : 1

Téléchargements : 0