Asymptotics of eigenfrequencies of an elastic body with a heavy and hard peak-shaped inclusion

Sergey A. Nazarov

doi:10.1016/j.crme.2007.06.004

Asymptotics of eigenfrequencies of an elastic body with a heavy and hard peak-shaped inclusion

Presented by: Évariste Sanchez-Palencia

Sergey A. Nazarov ¹

¹ Institute of Mechanical Engineering Problems, V.O., Bol'shoi pr., 61, 199178 St. Petersburg, Russia

Comptes Rendus. Mécanique, Volume 335 (2007) no. 12, pp. 757-762.

Abstract
Résumé

A heavy and hard peak-shaped inclusion in an elastic body provokes to concentration of eigenvalues in the low-frequency range of the spectrum and localization of the corresponding eigenmodes near the peak tip.

Une inclusion lourde et dure de forme pointue dans un corps élastique provoque la concentration des valeurs propres dans le domaine basses fréquences du spectre et la localisation des modes propres correspondants près de l'extrémité du pic.

Received: 2007-06-04
Accepted: 2007-06-12
Published online: 2007-11-19

DOI: 10.1016/j.crme.2007.06.004

Keywords: Computational solid mechanics, Elasticity system, Heavy and hard peak-shaped inclusion, Localization of eigenvectors
Mot clés : Mécanique des solides numérique, Système de l'elasticité, Inclusion lourde et de forme très pointue, Localisation des vecteurs propres

Author's affiliations:

Sergey A. Nazarov ¹

¹ Institute of Mechanical Engineering Problems, V.O., Bol'shoi pr., 61, 199178 St. Petersburg, Russia

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Sergey A. Nazarov. Asymptotics of eigenfrequencies of an elastic body with a heavy and hard peak-shaped inclusion. Comptes Rendus. Mécanique, Volume 335 (2007) no. 12, pp. 757-762. doi : 10.1016/j.crme.2007.06.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.06.004/

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