On bifurcation of guided wave in functionally graded plates

It is revealed that the dispersion portraits of guided waves propagating in functionally graded isotropic plates with an acoustically softer internal layer may exhibit double crossing of the fundamental branches, which may lead to a kind of intrinsic instability associated with the bifurcation of the corresponding waves. The analysis is based on the modified Cauchy sextic formalism coupled with the exponential matrix method.

Automated summary

It is shown that the dispersion portraits of guided waves propagating in functionally graded isotropic plates with an acoustically softer internal layer may exhibit double crossing of the fundamental branches, which can lead to an intrinsic instability associated with the bifurcation of the corresponding waves. The analysis is based on the modified Cauchy sextic formalism coupled with the exponential matrix method.