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Asymptotics of eigenfrequencies of an elastic body with a heavy and hard peak-shaped inclusion
Authors:Sergey A. Nazarov  
Affiliation:aInstitute of Mechanical Engineering Problems, V.O., Bol'shoi pr., 61, 199178 St. Petersburg, Russia
Abstract: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. To cite this article: S.A. Nazarov, C. R. Mecanique 335 (2007).
Keywords:Computational solid mechanics   Elasticity system   Heavy and hard peak-shaped inclusion   Localization of eigenvectorsMots-clé  s:   canique des solides numé  rique   Systè  me de l'elasticité     Inclusion lourde et de forme trè  s pointue   Localisation des vecteurs propres
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