Pochhammer–Chree waves in rods: degeneracy at the bulk wave velocities
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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.
KeywordsPochhammer–Chree wave Spectral analysis Degenerate solution Dispersion
Mathematics Subject Classification74J15
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