A wave near the edge of a circular disk
Michel Destrade, Yibin Fu
TL;DR
This paper demonstrates that in Love-Kirchhoff plate theory, a unique edge wave can propagate along a circular disk, traveling faster than traditional flexural waves in straight plates, especially as the curvature increases.
Contribution
It introduces the existence of a novel edge wave in circular disks within the Love-Kirchhoff theory, highlighting its distinct speed characteristics compared to classical flexural waves.
Findings
Edge wave exists in circular disks made of isotropic elastic material.
The edge wave is faster than classic flexural acoustic waves.
Wave speed increases with the curvature of the disk.
Abstract
It is shown that in the Love-Kirchhoff plate theory, an edge wave can travel in a circular thin disk made of an isotropic elastic material. This disk edge wave turns out to be faster than the classic flexural acoustic wave in a straight-edged, semi-infinite, thin plate, a wave which it mimics when the curvature radius becomes very large compared to the wavelength.
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