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Discontinuity Structures of Solutions to Equations Describing Longitudinal–Torsional Waves in Elastic Rods

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Abstract

Discontinuity structures (taking into account viscosity) in solutions to hyperbolic systems describing coupled longitudinal–torsional waves in elastic rods are studied. The conditions for the existence of special discontinuities, as well as conditions for the absence of structures of evolutionary discontinuities, have been found.

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Funding

This study was supported by the Russian Foundation for Basic Research, project no. 20-01-00071.

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

    A. G. Kulikovskii & A. P. Chugainova

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  1. A. G. Kulikovskii
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  2. A. P. Chugainova
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Correspondence to A. G. Kulikovskii or A. P. Chugainova.

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Kulikovskii, A.G., Chugainova, A.P. Discontinuity Structures of Solutions to Equations Describing Longitudinal–Torsional Waves in Elastic Rods. Dokl. Phys. 66, 110–113 (2021). https://doi.org/10.1134/S1028335821040017

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  • DOI: https://doi.org/10.1134/S1028335821040017

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