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On symmetric wedge mode of an elastic solid

Published online by Cambridge University Press:  11 January 2021

ALEXANDER NAZAROV
Affiliation:
Department of Mathematics and Mechanics, St.Petersburg State University, Universitetskii Prospect, 28, 198504, St.Petersburg, Russia, emails: [email protected]; [email protected] St.Petersburg Department of the Steklov Mathematical Institute, Fontanka, 27, 191023, St.Petersburg, Russia, email: [email protected]
SERGEY NAZAROV
Affiliation:
Department of Mathematics and Mechanics, St.Petersburg State University, Universitetskii Prospect, 28, 198504, St.Petersburg, Russia, emails: [email protected]; [email protected] Institute for Problems in Mechanical Engineering of RAS, Bol’shoy Prospekt V.O., 61, St. Petersburg, 199178, Russia
GERMAN ZAVOROKHIN
Affiliation:
St.Petersburg Department of the Steklov Mathematical Institute, Fontanka, 27, 191023, St.Petersburg, Russia, email: [email protected]

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.

Type
Papers
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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Footnotes

Dedicated to Professor V.M. Babich on the occasion of his 90th anniversary, with admiration

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