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The Symmetric Mode of an Elastic Solid Wedge with the Opening Close to a Flat Angle

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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.

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Authors and Affiliations

  1. St. Petersburg Dept of Steklov Institute of Mathematics, Russian Academy of Sciences, 191023, St. Petersburg, Russia

    G. L. Zavorokhin & A. I. Nazarov

  2. St. Petersburg State University, 199034, St. Petersburg, Russia

    A. I. Nazarov & S. A. Nazarov

  3. Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, 199178, St. Petersburg, Russia

    S. A. Nazarov

Authors
  1. G. L. Zavorokhin
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  2. A. I. Nazarov
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  3. S. A. Nazarov
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Correspondence to A. I. Nazarov.

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Translated by A. Sin’kov

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Zavorokhin, G.L., Nazarov, A.I. & Nazarov, S.A. The Symmetric Mode of an Elastic Solid Wedge with the Opening Close to a Flat Angle. Dokl. Phys. 63, 526–529 (2018). https://doi.org/10.1134/S1028335818120121

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  • DOI: https://doi.org/10.1134/S1028335818120121

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