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Pochhammer–Chree waves in rods: degeneracy at the bulk wave velocities

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Abstract

Degeneracy of the linear Pochhammer–Chree wave equation at phase velocities coinciding with the bulk wave velocities is observed and analyzed. Spectral analysis of Pochhammer–Chree equation is performed. The corrected analytical solutions for components of the displacement fields are constructed, accounting degeneracy of the secular equations and the corresponding solutions.

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Correspondence to Sergey V. Kuznetsov.

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Kuznetsov, S.V. Pochhammer–Chree waves in rods: degeneracy at the bulk wave velocities. Z. Angew. Math. Phys. 69, 142 (2018). https://doi.org/10.1007/s00033-018-1037-3

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  • DOI: https://doi.org/10.1007/s00033-018-1037-3

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