Guided waves in layered media: Twin ZGV and ambiguity of dispersion spectrumстатья
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Дата последнего поиска статьи во внешних источниках: 26 января 2024 г.
Аннотация:The twin zero group velocity (ZGV) points are observed, which belong to the fundamental symmetricbranch (S0) of Lamb waves propagating in a composite traction-free layered plate containingodd number of layers with alternating physical properties. It is shown that in a vicinity ofthese ZGV points an ambiguity of dispersion spectrum takes place, resulting in the appearance ofseveral waves, which (i) belong to the same fundamental mode; (ii) satisfy the same boundaryconditions; and, (iii) propagate at the same frequency, however (iv) with different phase velocities.The analysis is based on a combination of Cauchy formalism and the exponential fundamentalmatrix method.