Analysis reveals dispersion relations of Lamb waves in anisotropic layers, indicating unique wave behaviors at small frequencies.
For an anisotropic layer with arbitrary elastic anisotropy, dispersion relations for harmonic plane Lamb waves are constructed, and an analysis of solutions for a symmetric fundamental mode at an infinitely small frequency (soliton-like waves) is performed. Dispersion equations for Lamb waves, including the corresponding limiting values, are obtained in explicit form.
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A. V. Ilyashenko (2025) studied this question.
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