On symmetric wedge mode of an elastic solid

Author:

NAZAROV ALEXANDERORCID,NAZAROV SERGEY,ZAVOROKHIN GERMAN

Abstract

The existence of a symmetric mode in an elastic solid wedge for all admissible values of the Poisson ratio and arbitrary interior angles close to π has been proven.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Reference45 articles.

1. On the existence of a symmetric acoustic mode in a quadratic solid wedge;Krylov;Moscow Univ. Phys. Bull.,1991

2. [4] Birman, M. S. & Solomjak, M. Z. (2010) Spectral Theory of Self-Adjoint Operators in Hilbert Space, 2nd ed., revised and extended. Lan’, St. Petersburg, 2010 [in Russian]; English transl. of the 1st ed.: Mathematics and Its Applications. Soviet Series, vol. 5, Kluwer, Dordrecht etc. 1987.

3. Stress singularities resulting from various boundary conditions in angular corners of plate in extension;Williams;J. Appl. Mech.,1952

4. Analysis of a dispersionfree guide for elastic waves

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