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The effect of asymmetric functionally graded material on the edge resonanceand the Fano resonance in semi-infinite FGM plates are reported in this work.The edge resonance is weakened by the material perturbation and the completemode conversion is illustrated with incident $S_0$ mode. The Fano resonanceoccurs on the reflected $A_0$ mode as a result of interference between theresonance and direct scattering with incident $A_0$ mode. A hybrid analyticalmodel based on the collocation discretization and the modal decomposition ofthe elastic field is developed to analyze the scattering properties of thesemi-infinite plates. The Fano line-shape is discussed in detail. The resultsshow that the Fano line shape is sensitive to the volume fraction, which isbeneficial for the quantitative guided wave application.

Effect of symmetry defect on the edge resonance of semi-infinite FGM plates