Cloaking strategy for Love waves

TL;DR

This paper presents a novel transformation elastodynamics approach to design broadband cloaks for Love waves, effectively hiding surface defects using anisotropic materials and layered structures validated by numerical simulations.

Contribution

It introduces a new method for cloaking Love waves through transformation elastodynamics and demonstrates feasible layered material cloaks with validated performance.

Findings

Layered cloaks significantly reduce scattered fields.

Transformation elastodynamics enables broadband cloaking.

Numerical simulations confirm cloaking effectiveness.

Abstract

Love waves are antiplane elastic waves which propagate along the surface of a heterogeneous medium. Under time-harmonic regime, they are governed by a scalar equation of the Helmholtz type. We exploit the invariance of this governing equation under an in-plane arbitrary coordinate transformation to design broadband cloaks for surface defects. In particular, we apply transformation elastodynamics to determine the anisotropic, position dependent, mechanical properties of ideal cloaks able to hide triangular and parabolic-shaped defects. Dispersion analysis and time-harmonic numerical simulations are employed to validate the proposed strategy. Next, we utilize layered monoclinic materials, with homogenized properties matching those of ideal cloaks, to design feasible cloaks. The performance of the layered cloaks is validated via time-harmonic numerical simulations which show a significant reduction of the defect-generated scattered fields.