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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.
Coordinate-transformation-inspired optical devices have been mostly examined in the continuous-wave regime: the performance of an invisibility cloak, which has been demonstrated for monochromatic excitation, %would inevitably is likely to deteriorate
Topological defects (including disclinations and dislocations) which commonly exist in various materials have shown an amazing ability to produce excellent mechanical and physical properties of matters. In this paper, disclinations and dislocations a
The spectrum of a semi-infinite quantum graph tube with square period cells is analyzed. The structure is obtained by rolling up a doubly periodic quantum graph into a tube along a period vector and then retaining only a semi-infinite half of the tub
We present here how a coherent perfect absorber-laser (CPAL) enabled by parity-time ($mathcal{PT}$)-symmetry breaking may be exploited to build monochromatic amplifying devices for flexural waves. The fourth order partial differential equation govern
Airflow simulation results depend on a good prediction of near wall turbulence. In this paper a comparative study between different near wall treatments is presented. It is applied to two test cases: (1) the first concerns the fully developed plane c