Email this article The Symmetric Mode of an Elastic Solid Wedge with the Opening Close to a Flat Angle
- Authors: Zavorokhin G.L.1, Nazarov A.I.1,2, Nazarov S.A.2,3
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Affiliations:
- St. Petersburg Dept of Steklov Institute of Mathematics, Russian Academy of Sciences
- St. Petersburg State University
- Institute for Problems in Mechanical Engineering, Russian Academy of Sciences
- Issue: Vol 63, No 12 (2018)
- Pages: 526-529
- Section: Mechanics
- URL: https://journals.rcsi.science/1028-3358/article/view/193081
- DOI: https://doi.org/10.1134/S1028335818120121
- ID: 193081
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Abstract
The existence of a symmetric mode in an elastic solid wedge for all allowable values of the Poisson ratio and arbitrary openings close to π has been proven. A radically new effect—the presence of a wave localized in a vicinity of the edge of a wedge with an opening larger than a flat angle—has been found.
About the authors
G. L. Zavorokhin
St. Petersburg Dept of Steklov Institute of Mathematics, Russian Academy of Sciences
Email: al.il.nazarov@gmail.com
Russian Federation, St. Petersburg, 191023
A. I. Nazarov
St. Petersburg Dept of Steklov Institute of Mathematics, Russian Academy of Sciences; St. Petersburg State University
Author for correspondence.
Email: al.il.nazarov@gmail.com
Russian Federation, St. Petersburg, 191023; St. Petersburg, 199034
S. A. Nazarov
St. Petersburg State University; Institute for Problems in Mechanical Engineering, Russian Academy of Sciences
Email: al.il.nazarov@gmail.com
Russian Federation, St. Petersburg, 199034; St. Petersburg, 199178
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