Abstract
We report a novel approach to control the wavefronts of shear vertical (SV) waves in solids using metasurfaces constituted by a stacked array of composite plates, which are composed of two connecting parts made of different materials. The metasurfaces are connected at two ends to the half-space solids where the elastic SV waves propagate. The incident SV waves in the left half-space solid induce flexural waves in the composite plates and subsequently are converted back to SV waves in the right half-space solid. The time delay of flexural waves in each composite plate of the metasurfaces is tuned through the varying length of the two connecting components. To quantitatively evaluate the time delay in each composite plate, a theoretical model for analyzing the phase of the transmitted SV waves is developed based on the Mindlin plate theory. To control the SV waves at will, each composite plate in the metasurface is delicately designed according to the proposed theoretical model. For illustrative purposes, two metasurfaces are designed and numerically validated.
Highlights
Controlling waves using artificial materials is a subject that has received substantial attention, since it has a multitude of applications in noise/vibration reduction, wave guiding, imaging, etc
We have proposed an approach for controlling elastic shear vertical (SV) waves in solids using metasurfaces made of composite plates
The composite plates were made of two connecting parts with different materials
Summary
Controlling waves using artificial materials (e.g., metamaterials and metasurfaces) is a subject that has received substantial attention, since it has a multitude of applications in noise/vibration reduction, wave guiding, imaging, etc. The thickness h of the thin plates was chosen as the variable to tune the speed of flexural waves to further control the SV waves in solids. To control the elastic SV waves in solids, the thin plates in the splitter designed by Su et al. are replaced by composite plates of an identical thickness. The metasurface with a specific function can be designed based on the rational selection of the composite plates Such a study can be useful for Micro-Electro-Mechanical System (MEMS) structures in which solid plates are the typical components supported by solid media and for which specific waves, e.g., elastic SV waves, should be controlled at certain frequency ranges.
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