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

TL;DR

This study investigates how asymmetry in functionally graded materials affects edge and Fano resonances in semi-infinite plates, revealing that material perturbations weaken edge resonance and influence Fano line-shapes, with implications for guided wave applications.

Contribution

A hybrid analytical model is developed to analyze the impact of symmetry defects on wave resonances in FGM plates, providing new insights into resonance control.

Findings

Material perturbation weakens edge resonance.

Fano resonance occurs on reflected A0 mode due to interference.

Fano line-shape is sensitive to volume fraction.

Abstract

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